School: Science, Technology, Engineering, and Math Course Number: Math 302 Course Name: Statistics Credit Hours: 3 Credit Hours Length of Course: 16 Weeks Prerequisite: College Algebra (MATH110), or College Trigonometry (MATH111), or Calculus (MATH225) Table of Contents Course Description Evaluation Criteria Course Scope Course Outline Course Objectives Policies Course Delivery Method Academic Services Course Resources Supplemental Materials Evaluation Procedures Course Description (Catalog) This is an interactive course designed to help students achieve a greater understanding of the statistical methods and models available to analyze and solve the wide variety of problems encountered in business, science, medicine, education, the social sciences, and other disciplines. Successful completion of this course will provide students with a working knowledge of the principles of both descriptive and inferential statistics, probability, averages and variations, normal probability distributions, sampling distributions, confidence intervals, statistical hypothesis tests, and correlation and regression analyses. The emphasis of the course will be on the proper use of statistical techniques and their application in real life — not on mathematical proofs. This course will use Microsoft Excel for some of the work. Students should have a basic familiarity with Excel and have access to this software application. (Prerequisite: MATH110 or MATH111 or MATH225) Table of Contents Course Scope Successful completion of this course will provide you with a working knowledge of the principles of statistics and enable you to solve problems involving simple probability, averages and variations, normal probability distributions, sampling distributions, confidence intervals, and the testing of statistical hypotheses. The course is designed for students who seek an understanding of how statistics can be applied in disciplines that require the use of descriptive and inferential statistical methods. The emphasis of the course will be on the proper use of statistical techniques and their implementation rather than on mathematical proofs. However, some mathematics is necessary in order to understand the proper application of the techniques. Thus, you should be familiar with basic mathematics as covered in MATH110 or an equivalent course. Table of Contents Course Objectives After completing the course, the student should be able to: CO1. Distinguish meaningful statistics from those that are not meaningful. CO2. Categorize data by type. CO3. Organize data into tabular form. CO4. Represent data using frequency distributions, histograms, frequency polygons, ogives, bar charts, Pareto charts, time series graphs, pie charts, box plots, stem and leaf , and other statistical displays.. CO5. Compute measures of central tendency and measures of variance for quantitative data. CO6. Explain basic probability theory. CO7. Examine the outcomes in a sample space using various counting techniques. CO8. Use the properties of different types of distributions, such as normal, uniform, and binomial to solve problems. CO9. Compute the mean, variance, and standard deviation of a random variable using the concept of expected value . CO10. Compute confidence interval estimates for various population parameters. CO11. Determine the type of hypothesis test to use for different types of data. CO12. Conduct hypothesis testing procedures for the population mean, the population proportion, the population variance, the population standard deviation, and for the differences between population parameters. CO13. Use linear regression to model the relationship between two variables. CO14. Predict the value of a response variable for a given level of an explanatory variable using linear regression. CO15. Perform ChiSquare tests to determine the goodness of fit of data, the independence of variables, and the homogeneity of population proportions. Table of Contents Course Delivery Method This course, delivered via distance learning, will enable students to complete academic work in a flexible manner, completely online. Course materials and access to an online learning management system will be made available to each student. The nature of an online course requires a significant amount of independent work. The student will be provided with structure, resources, guidance, and feedback for learning the course material. The student, however, is responsible for completing assignments on time, completing the readings, and making inquiries as needed to complete the course effectively. This is a 16week course, which means the material must be learned in a relatively short period of time. This requires dedication and diligence on the part of the student. Assignments and their due dates are clearly outlined in the Course Outline section of this syllabus. Students are expected to complete all course work on time. Therefore, no extensions or lastminute exceptions are anticipated. Quizzes and exams are due by 11:55 PM Eastern Time on the last day of the week in which they are to be completed. Feedback will be provided by the course instructor, and students are encouraged to seek the instructor’s input via the MESSAGE feature in the classroom or via the Question and Answer Forum, when necessary. It is the responsibility—and obligation—of the student to initiate clarification of course topics in a timely fashion. Learning is not a spectator sport. You must seize the initiative and be proactive! Due to the busy schedules of the students, all work and discussions are asynchronous, meaning you are not required to be online at a specific time with the professor or other students. However, the University requires that each student access the classroom at least weekly during the semester. You may use your assignments, a message, a question, or a scheduled contact to fulfill this requirement. Naturally, you should check the course Announcements at the beginning of each week for important course information and reminders. Likewise, you should check the Discussion Forums and contribute to the discussions initiated there. You are, of course, encouraged to interact with other students via the Question and Answer Discussion Forum, or by message at any time. Each student is responsible for the following: • Completely reading the syllabus. If you have any questions about the syllabus or require clarification regarding any aspect of the course, please contact the instructor via message. • Reading the course Announcements for important updates and course information at the beginning of each week. • Checking the Forums in the online classroom and contributing to the discussions initiated there. • Completing assignments on time, including assigned reading and the suggested homework problem sets, on time. The weekly assignments are specified in the Course Outline. Nothing is more detrimental than falling behind, as the course material tends to build on itself as the course progresses. Stay engaged! Stay on task! • Submitting the quizzes, midterm exam, posts to the Forums, and the final exam on time. These are the graded submissions. They must be submitted by 11:55PM Eastern Time on the due date announced by the professor. Typically, late assignments will not be accepted. Table of Contents Course Resources Author Book Title Publication Info ISBN Allan G. Bluman Elementary Statistics, A Step by Step Approach: A Brief Version, 7th edition McGrawHill 9781259345289 The book will be delivered to ALL students in the electronic format. The APUS Bookstore distributes VitalSource ebooks to APUS students. You must validate your cart to get access to the VitalSource ebook. If this is your first order for a VitalSource ebook, you will receive an order confirmation email from the APUS Bookstore and then a second email with your VitalSource account credentials. Below are links to a tutorial video, FAQs, and tech support contacts to help guide you through this process. • How to validate your cart – video demonstration • How to validate your cart – bookstore information • My EdMap bookstore cart is empty. What happened? • VitalSource video tutorials • VitalSource 24/7 tech support • APUS Bookstore Customer Service (9:00 a.m. – 8:30 p.m. Eastern, MondayFriday) Email: APUS_Customer_Service@edmap.com Phone: (800) 2749104 • APUS undergraduate course material support – ecm@apus.edu Print/download options • VitalSource ebooks have a print option. You may only be able to print a certain number of pages at a time, but you can continue printing as you wish. • VitalSource ebooks can be viewed online or downloaded to a bookshelf. Once downloaded, internet access is not required to read the ebook from the bookshelf. Students will have 15 years of access to the online ebook and perpetual access to copies downloaded to the bookshelf. Additional FAQs What if I want the hard copy book instead? Can I get the VitalSource ebook and hard copy book? What books are required for my course? Where is my ebook located? Within our textbook the author refers to an Excel statistical addin called MegaStat. I will not use this software addin. Instead, I will utilize Excel to perform many of the computations in our course. If you are interested see page 29 of our textbook for more information regarding MegaStat. Microsoft Excel is required for this course. Students should have a basic familiarity with Excel and must have access to the 2007 or later version of this software application. In addition to the required course text, the following public domain Websites are useful. Please abide by the university’s academic honesty policy when using Internet sources as well. Note Web site addresses are subject to change. Site Name Website URL/Address Mathematics Videos http://www.apus.edu/media/mathWV/index.htm Statistics Videos http://www.apus.edu/media/mathWV/statistics.htm StatSoft Supplemental Textbook http://www.statsoft.com/textbook/ Microsoft Mathematics Microsoft Mathematics Hyper Stat Online http://www.davidmlane.com./hyperstat/index.html Calculator website http://www.calculator.com Dr. Math http://mathforum.org/dr.math/ Purple Math http://www.purplemath.com/ Video Tutorials by Michael Sullivan Video Tutorials TCC Making Contact with the Instructor All communications with the instructor should be accomplished via the MESSAGE tool in the Communications section of the classroom. If you are unable to access the classroom because of technical difficulties, you may reach your instructor via the email address provided in the instructor information section of the classroom. However, use of email should be limited to only those situations in which you cannot access the classroom. Otherwise, the MESSAGE tool should be used for all course related correspondence. Table of Contents Evaluation Procedures Staying on task and adhering to the published schedule are typically among the most challenging aspects of completing an academic course successfully. This is especially true for online and parttime nonresident programs. To avoid the pitfall of falling behind, students in this course should complete the assigned reading and review the PowerPoint presentations and videos, which can be accessed via the links in the Lessons section of the online classroom, in a timely manner. Students should also complete the suggested Review Problem Sets as set forth in the schedule provided in the Course Outline of this syllabus. Review Problem Sets will not be graded, but their solutions will be available via the link in the Lessons section of our online classroom. Students should refer to these solutions as a means to confirm their understanding of the topics covered in the Review Problem Sets. Student grades for the course will be based on participation in the forums, five graded quizzes, a midterm exam, and a final exam. Class Participation: Naturally, I value punctuality, familiarity with the required readings, and classroom questions or comments that are relevant and insightful. Whether helping someone understand a point, seeking clarification of a concept you may not completely understand, or contributing to the positive flow of the class discussion based on your experience, it is important for you to realize that learning is an action process—and sharing is a key ingredient in undertaking that process successfully. Therefore, I urge you to participate actively and do your best to contribute to a positive and effective learning environment–for yourself and others. I urge you to utilize the Question and Answer Forum as a means to interact with your classmates. If while working through examples or problems from our textbook you have a question or a comment, please post the question or comment in the Question and Answer Forum. Naturally, I hope that question and answers posted in the Question and Answer Forum will facilitate interactions among the members of our class. Your first required Forum post is the week 1 Introduction Forum. This must be completed by 11:55PM Eastern Time on Sunday during the first week of our course. I will evaluate your responses to the Forums using a 10 point scale, and your contribution to each of the Forums will count as 1.25 percent of the overall course grade, for a total of 10 percent. My evaluation of your participation in our forums will be based on the extent to which you participated and fostered a positive and effective learning environment–for yourself and others. Participating and sharing are the keys. I will post my wrapup comments for each of our weekly Forums after their due dates. At that time the Forum will be locked and no additional posts will be permitted. Naturally, I urge you to read my wrapup post, the posts of your classmates, and any summary feedback I provide. If you wish to continue to discuss a topic posed in a Forum that has been locked, you can certainly do so by using the Message tool or the Q&A Forum to interact with the other members of our course. The Week 1 Introduction Forum: During the first week of class each student must make a post to the Week 1 Introduction Forum. You are to use this Forum to introduce yourself and state your goals and objectives as they relate to our course. You are required to make a post to the Week 1 Introduction Forum in order to complete your enrollment in the course. Your post must be at least 250 words, and you must complete it by the end of the first week. This is a university requirement. Quizzes and Examinations: The five graded quiz assignments are dispersed throughout the course. Each quiz will count as 10% of the course grade, the midterm and final exams will each comprise 20% of the course grade. Generally, the exams and quizzes will contain problems similar to those discussed in the suggested homework problems and the many examples given in our textbook. However, you should expect to be challenged by the graded exercises. Exams and quizzes will be conducted as indicated on the course schedule and students are expected to complete them on time. No late submissions will be accepted. Specific instructions will be provided for each examination and quiz in the Lessons section of our classroom at the outset of the week in which these graded exercises are due. Each of these graded exercises is to be completed on an individual basis. You may consult published textbooks, articles, and other printed materials. However, no collaboration is permitted on the examinations or quizzes. You are not to discuss, orally, in print—in any manner—any aspect of the graded exercises with anyone other than your instructor. Clearly, studentteacher relationships are built on trust. This is especially true in the case of an online course. For example, students must trust that teachers have made appropriate decisions about the structure and content of the courses they teach, and teachers must trust that students complete assignments as directed. Acts that violate this trust undermine the educational process and compromise the integrity of the perpetrator. Don’t cheat. Don’t compromise your integrity. To do so invalidates the very purpose which likely motivated you to undertake this course—to learn, to become a better decision maker, to broaden your perspective, and to increase your skill set. At the beginning of the week in which they are due, exams and quizzes will be posted in the Tests & Quizzes section of our classroom. When you are prepared to take an assessment go to the Tests & Quizzes section of our classroom and click on the assessment. With the exception of the Final Exam, which is a 3 hour timed exam, all other graded assessments have no time limit. It is important for you to understand that you will be able to submit your answers to an assessment only once. Your answers must be submitted by the 11:55PM Eastern Time deadline, as indicated in the syllabus. I will not accept late submissions. So, please don’t wait until the last minute to submit your answers to a quiz or exam. As soon as you submit your answers your assessment will be graded, and your score will be recorded in the Gradebook. Twentyfour hours after the deadline and once everyone has submitted their answers, you can access the feedback by clicking on the assessment in the Tests & Quizzes section of our classroom. Naturally, if you answer any of the questions on an assessment incorrectly I urge you to review the feedback and reconcile any errors you may have made on a quiz or exam. The Final Examination will be worth 25 points and count as 20% of the final grade. It will be a three hour, online, openbook, opennote exam. The final exam will cover all of the material presented during our course. You will be able to access the Final Exam only once. So, be sure to set aside a dedicated three hour period in which to complete it. You may not consult with any other person while taking the exam. The notations used in statistical work aren’t found in many word processing programs, making it difficult to produce many of the symbols used in our course. You may wish to use the Symbol font in Microsoft Word and the Insert/Object/Microsoft Equation feature in Word when preparing documents related to our course. Insert/Symbol is also sometimes useful. Of course, you will also want to familiarize yourself with the Insert/Edit Equation feature contained in the Rich Text Editor that is available in the Rich Text Editor toolbar in our classroom. Additionally, since many of the computations and analyses required in our course can be easily carried out using Microsoft Excel, you may wish to familiarize yourself with the process whereby Excel outputs can be copied and pasted into a Word or pdf file. Table of Contents Evaluation Criteria Grades for the course will be based on the following. Grade Instruments Points Possible % of Final Grade Quiz 1 20 10% Quiz 2 20 10% Quiz 3 20 10% Quiz 4 20 10% Quiz 5 20 10% Graded Forums (8) 80 (10pts each) 10% Mid Term Examination 25 20% Final Examination 25 20% TOTAL 230 100% Students’ final grades will be posted within 7 days of the end of the semester. Students should not telephone the university looking for grades until at least 30 days after the end of the semester. Please see the Student Handbook to reference the University’s grading scale. Table of Contents Course Outline Week Topic(s) Learning Objective(s) Reading(s) Assignment(s) 1 The Nature of Probability and Statistics CO1, CO2 Demonstrate knowledge of statistical terms Identify and differentiate between the two branches of statistics Identify types of data Identify sampling techniques Explain the difference between observational and experimental studies Explain how statistics can be used and misused Explain the importance of computers and calculators in statistics Read and study Chapter 1 View the videos: Nature of Statistics and Probability Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Introduce yourself in the Introduction Forum and get to know your classmates. Remember, your post must be at least 250 words and must be posted by 11:55PM Eastern Time on the first Sunday of our course. Respond to at least two other Week 1 Forum posts by 11:55PM Eastern Time on SUNDAY. Suggested Practice Problems: Chapter 1 Review Exercises (p34): 5,6,8,11,13,19,21,29,31,3943,4549,51,57 Complete the Chapter 1 Quiz (p36). This does not need to be turned in. It is for your use. Answers are in the text. Complete the APUS Honor Code and Pledge Assignment. 2 Frequency Distributions and Graphs CO3 Organize data using frequency distributions Represent data in frequency distributions graphically using histograms, frequency polygons, and ogives Represent data using Pareto charts, time series graphs and pie graphs Draw and interpret a stem and leaf plot Draw and interpret a scatter plot for a set of paired data Read and study Chapter 2 View the videos: Frequency Distributions and Graphs Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 2 Review Exercises (p107): 1,3,11,17,19,27 Complete the Chapter 2 Quiz (p111). This does not need to be turned in. It is for your use. Answers are in the textbook. Make a post to the Weeks 23 Forum by 11:55PM Eastern Time on Sunday. 3 Data Description CO5 Summarize data using measures of central tendency such as the mean, median, mode and midrange Describe data using measures of variation such as the range, variance, and standard deviation Identify the position of a data value in a data set, using various measures of position such as percentiles, deciles and quartiles Use the techniques of exploratory data analysis, including box plots and five number summaries to discover various aspects of data Read and study Chapter 3 View the videos: Data Description Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 3 Review Exercises (p186): 6,16,22,23 Complete the Chapter 3 Quiz (p189). This does not need to be turned in. It is for your use. Answers are in the text. Respond to at least two other Weeks 23 forum posts by 11:55PM Eastern Time on Sunday. Complete Quiz #1 by 11:55 PM Eastern Time on Sunday. Access Quiz1_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. 4 Probability and Counting Rules CO6; CO7 Determine sample spaces and find the probability of an event Find the probability of compound events using addition rules Find the probability of compound events using multiplication rules Find the conditional probability of an event Find the total number of outcomes in a sequence of events using the fundamental counting rule Use the permutation rule to find the number of ways that r objects can be selected from n objects Find the number of ways that r objects can be selected from n objects without regard to order using the combination rule. Find the probability of an event using counting rules Read and study Chapter 4 View the videos: Probability and Counting Rules Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 4 Review Exercises (p255): 2,3,6,15,17,24,27,32,34,39. Complete the Chapter 4 Quiz (p258). This does not need to be turned in. It is for your use. Answers are in the text. Make a post to the Weeks 45 Forum by 11:55PM Eastern Time on SUNDAY. 5 Discrete Probability Distributions. CO9 Construct a probability distribution for a random variable Find the mean, variance, standard deviation and expected value for a discrete random variable Find the probability for X successes in n trials of a binomial experiment Find the mean, variance, and standard deviation for the variable of a binomial distribution Read and study Chapter 5 View the videos: Discrete Probability Distributions Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 5 Review Exercises (p298): 1,3,5,8,12,15,20,21. Complete the Chapter 5 Quiz (p300). This does not need to be turned in. It is for your use. Answers are in the text. Respond to at least two other Weeks 45 forum posts by 11:55PM Eastern Time on Sunday. Complete Quiz #2 by 11:55 PM Eastern Time on Sunday. Access Quiz2_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. 6 The Normal Distribution I CO8 Identify distributions as symmetric or skewed Identify the properties of a normal distribution Find the area under the standard normal distribution, given various z values Find the probabilities for a normally distributed variable by transforming it into a standard normal distribution Find specific data values for given percentages, using the standard normal distribution Read and study Chapter 6.1 6.2 View the videos Normal Distribution Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 6 Review Exercises (p354): 1,2,3,4,6,12. Make a post to the Weeks 67 Forum by 11:55PM Eastern Time on SUNDAY. 7 The Normal Distribution II CO8 Use the central limit theorem to solve problems involving sample means for large samples Use the normal approximation to compute probabilities for a binomial variable Read and study Chapter 6.36.4 View the videos Normal Distribution Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 6 Review Exercises (p355): 16, 21. Complete the Chapter 6 Quiz (p356). This does not need to be turned in. It is for your use. Answers are in the text. Respond to at least two other Weeks 67 forum posts by 11:55PM Eastern Time on SUNDAY. 8 Midterm Examination Demonstrate Knowledge of Statistical Concepts Review Chapters 1 – 6 Make a post to the Weeks 89 Forum by 11:55PM Eastern Time on SUNDAY. Complete the Midterm Exam by 11:55 PM Eastern Time on Sunday. Access Midterm Exam_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. 9 Confidence Intervals and Sample Size CO10 Find a confidence interval estimate for the population mean when is known. Determine the sample size for finding a confidence interval for the mean Find a confidence interval estimate for the population mean when is unknown. Find the confidence interval for a proportion Determine the minimum sample size for finding a confidence interval for a proportion Find a confidence interval for a variance and a standard deviation Read and study Chapter 7 View the videos Confidence Interval & Sample Size Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 7 Review Exercises (p399): 2,5,9,16. Complete the Chapter 7 Quiz (p401). This does not need to be turned in. It is for your use. Answers are in the text. Respond to at least two other Weeks 89 Forum posts by 11:55PM Eastern Time on SUNDAY. Complete Quiz #3 by 11:55 PM Eastern Time on Sunday. Access Quiz3_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. 10 Hypothesis Testing I CO11; C012 Understand the definitions used in hypothesis testing State the null & alternate hypotheses Find the critical values for the z test State the five steps used in testing Test means for large samples using the z test Test means for small samples using the t test Read and study Chapter 81 to 84 View the videos: Hypothesis Testing Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 8 Review Exercises (p470): 3,7,10,11. Make a post to the Weeks 1011 Forum by 11:55PM Eastern Time on SUNDAY. 11 Hypothesis Testing II CO11; CO12 Test proportions using the z test Test variances or standard deviations using the Chi Square test Test hypotheses using confidence intervals Read and study Chapter 85 to 86 View the videos: Hypothesis Testing Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 8 Review Exercises (p472): 15,17,18,20. Complete the Chapter 8 Quiz (p473). This does not need to be turned in. It is for your use. Answers are in the text. Respond to at least two other Weeks 1011 Forum posts by 11:55PM Eastern Time on SUNDAY. Complete Quiz #4 by 11:55 PM Eastern Time on Sunday. Access Quiz4_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. 12 Testing Differences between means, variances and proportions CO11; CO12 Test the difference between two population means using the z test Test the difference between two population variances or standard deviations Test the difference between two population means using the ttest Test the difference between two means when using small dependent samples Test the difference between two population proportions Read and study Chapter 9 View the videos: Testing the Differences in Means, Variances, and Proportions Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 9 Review Exercises (p530): 1, 4, 8, and 12. Complete the Chapter 9 Quiz (p532). This does not need to be turned in. It is for your use. Answers are in the text. Make a post to the Weeks 1213 Forum by 11:55PM Eastern Time on SUNDAY. 13 Regression and Correlation CO13; CO14 Draw a scatter plot for a set of ordered pairs Compute the correlation coefficient Test the hypothesis: H0: =0 Compute the equation of the regression line Compute the coefficient of determination Compute the standard error of the estimate Find a predication interval Read and study Chapter 10 View the videos: Regression and Correlation Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 10 Review Exercises (p583): 4 and 8. Complete the Chapter 10 Quiz (p584). This does not need to be turned in. It is for your use. Answers are in the text. Respond to at least two other Weeks 1213 forum posts by 11:55PM Eastern Time on SUNDAY. Complete Quiz #5 by 11:55 PM Eastern Time on Sunday. Access Quiz5_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. 14 ChiSquare Tests and ANOVA CO15 Conduct Goodness of Fit tests Use Contingency Tables to Test Independence Read and Study Chapter 11.1 – 11.3 View the videos: Hypothesis Testing Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm View and study the PowerPoint presentation in the Lessons section of the classroom Suggested Practice Problems: Complete the following questions in the Chapter 11 Review Exercises (p634): 5,8 and 13. Complete the Chapter 11 Quiz (p636). This does not need to be turned in. It is for your use. Answers are in the text. Make a post to the Weeks 1415 Forum by 11:55PM Eastern Time on SUNDAY. 15 Course Review Summarize Course Material Review all course material. Respond to at least two other Weeks 1415 forum posts by 11:55PM Eastern Time on SUNDAY. 16 Final Examination Demonstrate your knowledge of statistics for the analysis of business management decisions Make a post to the optional Week 16 Forum. There is no requirement to respond to others, but you are encouraged to do so. Complete the 3 hour timed, online Final Exam by 11:55 PM Eastern Time on Sunday. Access Final Exam_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. Table of Contents Policies Please see the Student Handbook to reference all University policies. Quick links to frequently asked question about policies are listed below. Drop/Withdrawal Policy Plagiarism Policy Extension Process and Policy Disability Accommodations Late Assignments Students are expected to submit classroom assignments by the posted due date and to complete the course according to the published class schedule. The due date for each assignment is listed under each assignment. Generally speaking, late work may result in a deduction up to 20% of the grade for each day late, not to exceed 5 days. As a working adult I know your time is limited and often out of your control. Faculty may be more flexible if they know ahead of time of any potential late assignments. Academic Dishonesy Academic dishonesty incorporates more than plagiarism, which is using the work of others without citation. Academic dishonesty includes any use of content purchased or retrieved from web services such as CourseHero.com. Additionally, allowing your work to be place on such web services is academic dishonesty, as it is enabling the dishonesty of others. The copy and pasting of content from any web page, without citation as a direct quote, is academic dishonesty. When in doubt, do not copy/paste, and always cite. Netiquette Online universities promote the advance of knowledge through positive and constructive debate–both inside and outside the classroom. Discussions on the Internet, however, can occasionally degenerate into needless insults and “flaming.” Such activity and the loss of good manners are not acceptable in a university setting–basic academic rules of good behavior and proper “Netiquette” must persist. Remember that you are in a place for the fun and excitement of learning that does not include descent to personal attacks, or student attempts to stifle the discussion of others. • Technology Limitations: While you should feel free to explore the fullrange of creative composition in your formal papers, keep email layouts simple. The Sakai classroom may not fully support MIME or HTML encoded messages, which means that bold face, italics, underlining, and a variety of colorcoding or other visual effects will not translate in your email messages. • Humor Note: Despite the best of intentions, jokes and–especially–satire can easily get lost or taken seriously. If you feel the need for humor, you may wish to add “emoticons” to help alert your readers: ;), : ), Writing Expectations • All students’ work is to be presented with quality and content consistent with this level college course. Grading on forum posts will include adherence to spelling, grammar, and if outside sources are used, proper citation and reference style as indicated below. Citation and Reference Style • All materials should be formatted in APA style. You can find an online APA style guide in the APUS Library. Navigate to APUS Log in » Online Library: CampusGuides » Library Tutorial Center »Writing Help or you can use the link http://apus.campusguides.com/writing/citation and then click on APUS APA Style Guide. • Students can also use RefWorks 2.0 to help output the correct APA citation and APA reference style to be used as part of coursework for this class. RefWorks is an online webbased application that can be accessed through the APUS Online Library. Follow the links for APUS » Online Library: CampusGuides » Library Tutorial Center »RefWorks Help. Disclaimer Statement Course content may vary from the outline to meet the needs of this particular group. Table of Contents Academic Services The Online Library is available to enrolled students and faculty from inside the electronic campus. This is your starting point for access to online books, subscription periodicals, and Web resources that are designed to support your classes and generally not available through search engines on the open Web. In addition, the Online Library provides access to special learning resources, which the University has contracted to assist with your studies. Questions can be directed to librarian@apus.edu. • Charles Town Library and Inter Library Loan: The University maintains a special library with a limited number of supporting volumes, collection of our professors’ publication, and services to search and borrow research books and articles from other libraries. • Electronic Books: You can use the online library to uncover and download over 50,000 titles, which have been scanned and made available in electronic format. • Electronic Journals: The University provides access to over 12,000 journals, which are available in electronic form and only through limited subscription services. • Turnitin.com: Turnitin.com is a tool to improve student research skills that also detects plagiarism. Turnitin.com provides resources on developing topics and assignments that encourage and guide students in producing papers that are intellectually honest, original in thought, and clear in expression. This tool helps ensure a culture of adherence to the University’s standards for intellectual honesty. Turnitin.com also reviews students’ papers for matches with Internet materials and with thousands of student papers in its database, and returns an Originality Report to instructors and/or students. • Tutoring: Students have access to 10 free hours of tutoring service. Tutoring is available in the following subjects: math (basic math through advanced calculus), science (biology, chemistry, and physics), accounting, statistics, economics, Spanish, writing, grammar, and more. Additional information is located in the Online Research Center. Students may have access to some free hours of tutoring service per year depending on their affiliation. If you are Active Duty DOD Military (and their dependents), please go to the Online Library Tutorial page to link directly to your branch of service to start your online tutoring with Tutor.com: http://www.tutor.com/military/colleges/amuapus All other students (nonactive duty DOD military) who have NOT used Smarthinking but are interested in online tutoring, please go to the Online Library Tutorial page to link to the AMU/APU Civilian & CG Military Tutor.com portal at http://www.tutor.com/colleges/landing/apus Detailed information regarding tutor.com is located in the Online Library on the Tutorial & Student Study Center page. http://www.apus.edu/onlinelibrary/tutorials/index.htm Any questions regarding online tutoring should be emailed to librarian@apus.edu. The library staff is available 7 days a week for about 18 hours a day (in shifts). Table of Contents Supplemental Materials The following links are to online tutorials for this class. You may click on the links directly to view the discussion. http://www.apus.edu/media/mathWV/index.htm Nature of Statistics and Probability • Data Distributions — types of data • Inference — What is it? • Random Variables — definitions • Sampling — How to select valid samples • Sampling — Invalid Types • Sampling — Random Samples • Sampling — Valid Types Frequency Distributions and Graphs • Bar Graph • Dot plot • Frequency Polygon • Histogram • Ogive • Pareto Chart • Pie Chart • StemandLeaf Plot • Time Series Plot Data Description • Comparing two data distributions • Data Distributions — calculating a trimmed mean • Data Distributions — calculating mean and median • Data Distributions — calculating range and interquartile range • Data Distributions — calculating variance and standard deviation • Data Distributions — Chebyshev’s Theorem • Data Distributions — definition • Data Distributions — measures of central tendency • Data Distributions — measures of dispersion (spread) • Data Distributions — modified box plots • Data Distributions — resistant statistics Probability and Counting Rules • Continuous probability distribution calculations • Probability — calc probabilities from relative frequency distributions • Probability — definition and properties • Probability — Independent versus Disjoint • Probability — intersection of events • Probability — tree diagram (1) • Probability — tree diagram (2) • Probability — union of events • Probability — using properties of probability • Probability Distributions – definitions Discrete Probability Distributions • Binomial Probability Calculation • Binomial Probability Distribution • Binomial, Geometric, and Poisson – definitions • Confidence Interval for a Population Proportion • Discrete probability distribution calculations • Mean and standard deviations of a discrete probability distribution • Sampling Distribution of Sample Proportion Normal Distribution • Central Limit Theorem • Normal Distribution — Empirical Rule • Normal Distribution — Empirical Rule (example) • Normal Distribution — Finding data value given percentile • Normal Distribution — Finding percentile • Normal Distribution — Probability Calculation using calculator • Normal Distribution — Probability Calculation using table • Normal Distribution – Properties • Normal Distribution — Standard Normal Distribution • Sampling Distribution of Sample Mean from Normal Population • Zscores • Zscores — finding raw data value from zscore • Zscores — finding standard deviation from zscore • Zscores — who scored better? Confidence Interval and Sample Size • Confidence Interval for mean (sigma known) • Confidence Interval for mean (sigma unknown) • Confidence Intervals — Finding zcritical values • Confidence intervals — when can you use? • Confidence intervals compare width of z with t • Confidence Intervals –Finding tcritical values • Recipe for a Confidence Interval • Sample Size Calculation (CI for p) • Widths of confidence intervals Hypothesis Testing • Chisquare confidence interval for population variance • Chisquare confidence interval for population variance example • Chisquare distributions • Chisquare goodnessoffit test example • Chisquare test of homogeneity example • Chisquare test of homogeneity example (calculator) • Chisquare test of independence example • Chisquare test of independence example (calculator) • Chisquare test of population variance example • Differences between normal and tdistributions • Recipe for a Significance Test • Sign Test for a population Proportion using Calculator • Significance Test for a Population Proportion • Tests requiring the Chisquare distribution Testing the Differences in Means, Variances and Proportions • Significance test for mean (sigma known) • Significance test for mean (sigma known) using calculator • Significance test for mean (sigma unknown) • Significance test for mean (sigma unknown) using calculator Regression and Correlation • Regression – Assumptions • Regression — Calculating Correlation Coefficient • Regression – Confidence Interval for a Predicted y • Regression – Confidence Interval for Slope (Beta) • Regression — Correlation Coefficient Definition and Properties • Regression — Example from Start to Finish • Regression — Graphing a Residual Plot • Regression – Prediction • Regression — Residual Plot Definitions and Properties • Regression – Scatter plot • Regression — Test of Significance for Rho Population Correlation • Regression — Test of Significance for Slope Beta • Regression — What is it? Table of Contents
School: Science, Technology, Engineering, and Math
Course Number: Math 302 Course Name: Statistics Credit Hours: 3 Credit Hours Length of Course: 16 Weeks Prerequisite: College Algebra (MATH110), or College Trigonometry (MATH111), or Calculus (MATH225)

Table of Contents 
Course Description  Evaluation Criteria 
Course Scope  Course Outline 
Course Objectives  Policies 
Course Delivery Method  Academic Services 
Course Resources  Supplemental Materials 
Evaluation Procedures 
Course Description (Catalog) 
This is an interactive course designed to help students achieve a greater understanding of the statistical methods and models available to analyze and solve the wide variety of problems encountered in business, science, medicine, education, the social sciences, and other disciplines. Successful completion of this course will provide students with a working knowledge of the principles of both descriptive and inferential statistics, probability, averages and variations, normal probability distributions, sampling distributions, confidence intervals, statistical hypothesis tests, and correlation and regression analyses. The emphasis of the course will be on the proper use of statistical techniques and their application in real life — not on mathematical proofs. This course will use Microsoft Excel for some of the work. Students should have a basic familiarity with Excel and have access to this software application. (Prerequisite: MATH110 or MATH111 or MATH225)
Course Scope 
Successful completion of this course will provide you with a working knowledge of the principles of statistics and enable you to solve problems involving simple probability, averages and variations, normal probability distributions, sampling distributions, confidence intervals, and the testing of statistical hypotheses. The course is designed for students who seek an understanding of how statistics can be applied in disciplines that require the use of descriptive and inferential statistical methods. The emphasis of the course will be on the proper use of statistical techniques and their implementation rather than on mathematical proofs. However, some mathematics is necessary in order to understand the proper application of the techniques. Thus, you should be familiar with basic mathematics as covered in MATH110 or an equivalent course.
Course Objectives 
After completing the course, the student should be able to:
CO1. Distinguish meaningful statistics from those that are not meaningful.
CO2. Categorize data by type.
CO3. Organize data into tabular form.
CO4. Represent data using frequency distributions, histograms, frequency polygons, ogives, bar charts, Pareto charts, time series graphs, pie charts, box plots, stem and leaf , and other statistical displays..
CO5. Compute measures of central tendency and measures of variance for quantitative data.
CO6. Explain basic probability theory.
CO7. Examine the outcomes in a sample space using various counting techniques.
CO8. Use the properties of different types of distributions, such as normal, uniform, and binomial to solve problems.
CO9. Compute the mean, variance, and standard deviation of a random variable using the concept of expected value .
CO10. Compute confidence interval estimates for various population parameters.
CO11. Determine the type of hypothesis test to use for different types of data.
CO12. Conduct hypothesis testing procedures for the population mean, the population proportion, the population variance, the population standard deviation, and for the differences between population parameters.
CO13. Use linear regression to model the relationship between two variables.
CO14. Predict the value of a response variable for a given level of an explanatory variable using linear regression.
CO15. Perform ChiSquare tests to determine the goodness of fit of data, the independence of variables, and the homogeneity of population proportions.
Course Delivery Method 
This course, delivered via distance learning, will enable students to complete academic work in a flexible manner, completely online. Course materials and access to an online learning management system will be made available to each student.
The nature of an online course requires a significant amount of independent work. The student will be provided with structure, resources, guidance, and feedback for learning the course material. The student, however, is responsible for completing assignments on time, completing the readings, and making inquiries as needed to complete the course effectively. This is a 16week course, which means the material must be learned in a relatively short period of time. This requires dedication and diligence on the part of the student.
Assignments and their due dates are clearly outlined in the Course Outline section of this syllabus. Students are expected to complete all course work on time. Therefore, no extensions or lastminute exceptions are anticipated. Quizzes and exams are due by 11:55 PM Eastern Time on the last day of the week in which they are to be completed. Feedback will be provided by the course instructor, and students are encouraged to seek the instructor’s input via the MESSAGE feature in the classroom or via the Question and Answer Forum, when necessary. It is the responsibility—and obligation—of the student to initiate clarification of course topics in a timely fashion. Learning is not a spectator sport. You must seize the initiative and be proactive!
Due to the busy schedules of the students, all work and discussions are asynchronous, meaning you are not required to be online at a specific time with the professor or other students. However, the University requires that each student access the classroom at least weekly during the semester. You may use your assignments, a message, a question, or a scheduled contact to fulfill this requirement. Naturally, you should check the course Announcements at the beginning of each week for important course information and reminders. Likewise, you should check the Discussion Forums and contribute to the discussions initiated there. You are, of course, encouraged to interact with other students via the Question and Answer Discussion Forum, or by message at any time.
Each student is responsible for the following:
 Completely reading the syllabus. If you have any questions about the syllabus or require clarification regarding any aspect of the course, please contact the instructor via message.
 Reading the course Announcements for important updates and course information at the beginning of each week.
 Checking the Forums in the online classroom and contributing to the discussions initiated there.
 Completing assignments on time, including assigned reading and the suggested homework problem sets, on time. The weekly assignments are specified in the Course Outline. Nothing is more detrimental than falling behind, as the course material tends to build on itself as the course progresses. Stay engaged! Stay on task!
 Submitting the quizzes, midterm exam, posts to the Forums, and the final exam on time. These are the graded submissions. They must be submitted by 11:55PM Eastern Time on the due date announced by the professor. Typically, late assignments will not be accepted.
Course Resources 
Author  Book Title  Publication Info  ISBN 
Allan G. Bluman  Elementary Statistics, A Step by Step Approach: A Brief Version, 7th edition  McGrawHill  9781259345289 
The book will be delivered to ALL students in the electronic format. The APUS Bookstore distributes VitalSource ebooks to APUS students. You must validate your cart to get access to the VitalSource ebook. If this is your first order for a VitalSource ebook, you will receive an order confirmation email from the APUS Bookstore and then a second email with your VitalSource account credentials. Below are links to a tutorial video, FAQs, and tech support contacts to help guide you through this process.
 How to validate your cart – video demonstration
 How to validate your cart – bookstore information
 My EdMap bookstore cart is empty. What happened?
 VitalSource video tutorials
 VitalSource 24/7 tech support
 APUS Bookstore Customer Service (9:00 a.m. – 8:30 p.m. Eastern, MondayFriday)
Email: APUS_Customer_Service@edmap.com
Phone: (800) 2749104
 APUS undergraduate course material support – ecm@apus.edu
Print/download options
 VitalSource ebooks have a print option. You may only be able to print a certain number of pages at a time, but you can continue printing as you wish.
 VitalSource ebooks can be viewed online or downloaded to a bookshelf. Once downloaded, internet access is not required to read the ebook from the bookshelf. Students will have 15 years of access to the online ebook and perpetual access to copies downloaded to the bookshelf.
Additional FAQs
What if I want the hard copy book instead?
Can I get the VitalSource ebook and hard copy book?
What books are required for my course?
Within our textbook the author refers to an Excel statistical addin called MegaStat. I will not use this software addin. Instead, I will utilize Excel to perform many of the computations in our course. If you are interested see page 29 of our textbook for more information regarding MegaStat.
Microsoft Excel is required for this course. Students should have a basic familiarity with Excel and must have access to the 2007 or later version of this software application.
In addition to the required course text, the following public domain Websites are useful. Please abide by the university’s academic honesty policy when using Internet sources as well. Note Web site addresses are subject to change.
Site Name  Website URL/Address 
Mathematics Videos  http://www.apus.edu/media/mathWV/index.htm 
Statistics Videos  http://www.apus.edu/media/mathWV/statistics.htm 
StatSoft Supplemental Textbook  http://www.statsoft.com/textbook/ 
Microsoft Mathematics  Microsoft Mathematics 
Hyper Stat Online  http://www.davidmlane.com./hyperstat/index.html 
Calculator website  http://www.calculator.com 
Dr. Math  http://mathforum.org/dr.math/ 
Purple Math  http://www.purplemath.com/ 
Video Tutorials by Michael Sullivan  Video Tutorials TCC 
Making Contact with the Instructor 
All communications with the instructor should be accomplished via the MESSAGE tool in the Communications section of the classroom. If you are unable to access the classroom because of technical difficulties, you may reach your instructor via the email address provided in the instructor information section of the classroom. However, use of email should be limited to only those situations in which you cannot access the classroom. Otherwise, the MESSAGE tool should be used for all course related correspondence.
Evaluation Procedures 
Staying on task and adhering to the published schedule are typically among the most challenging aspects of completing an academic course successfully. This is especially true for online and parttime nonresident programs. To avoid the pitfall of falling behind, students in this course should complete the assigned reading and review the PowerPoint presentations and videos, which can be accessed via the links in the Lessons section of the online classroom, in a timely manner. Students should also complete the suggested Review Problem Sets as set forth in the schedule provided in the Course Outline of this syllabus. Review Problem Sets will not be graded, but their solutions will be available via the link in the Lessons section of our online classroom. Students should refer to these solutions as a means to confirm their understanding of the topics covered in the Review Problem Sets.
Student grades for the course will be based on participation in the forums, five graded quizzes, a midterm exam, and a final exam.
Class Participation: Naturally, I value punctuality, familiarity with the required readings, and classroom questions or comments that are relevant and insightful. Whether helping someone understand a point, seeking clarification of a concept you may not completely understand, or contributing to the positive flow of the class discussion based on your experience, it is important for you to realize that learning is an action process—and sharing is a key ingredient in undertaking that process successfully. Therefore, I urge you to participate actively and do your best to contribute to a positive and effective learning environment–for yourself and others.
I urge you to utilize the Question and Answer Forum as a means to interact with your classmates. If while working through examples or problems from our textbook you have a question or a comment, please post the question or comment in the Question and Answer Forum. Naturally, I hope that question and answers posted in the Question and Answer Forum will facilitate interactions among the members of our class.
Your first required Forum post is the week 1 Introduction Forum. This must be completed by 11:55PM Eastern Time on Sunday during the first week of our course. I will evaluate your responses to the Forums using a 10 point scale, and your contribution to each of the Forums will count as 1.25 percent of the overall course grade, for a total of 10 percent. My evaluation of your participation in our forums will be based on the extent to which you participated and fostered a positive and effective learning environment–for yourself and others. Participating and sharing are the keys. I will post my wrapup comments for each of our weekly Forums after their due dates. At that time the Forum will be locked and no additional posts will be permitted. Naturally, I urge you to read my wrapup post, the posts of your classmates, and any summary feedback I provide. If you wish to continue to discuss a topic posed in a Forum that has been locked, you can certainly do so by using the Message tool or the Q&A Forum to interact with the other members of our course.
The Week 1 Introduction Forum: During the first week of class each student must make a post to the Week 1 Introduction Forum. You are to use this Forum to introduce yourself and state your goals and objectives as they relate to our course. You are required to make a post to the Week 1 Introduction Forum in order to complete your enrollment in the course. Your post must be at least 250 words, and you must complete it by the end of the first week. This is a university requirement.
Quizzes and Examinations: The five graded quiz assignments are dispersed throughout the course. Each quiz will count as 10% of the course grade, the midterm and final exams will each comprise 20% of the course grade. Generally, the exams and quizzes will contain problems similar to those discussed in the suggested homework problems and the many examples given in our textbook. However, you should expect to be challenged by the graded exercises. Exams and quizzes will be conducted as indicated on the course schedule and students are expected to complete them on time. No late submissions will be accepted.
Specific instructions will be provided for each examination and quiz in the Lessons section of our classroom at the outset of the week in which these graded exercises are due. Each of these graded exercises is to be completed on an individual basis. You may consult published textbooks, articles, and other printed materials. However, no collaboration is permitted on the examinations or quizzes. You are not to discuss, orally, in print—in any manner—any aspect of the graded exercises with anyone other than your instructor. Clearly, studentteacher relationships are built on trust. This is especially true in the case of an online course. For example, students must trust that teachers have made appropriate decisions about the structure and content of the courses they teach, and teachers must trust that students complete assignments as directed. Acts that violate this trust undermine the educational process and compromise the integrity of the perpetrator. Don’t cheat. Don’t compromise your integrity. To do so invalidates the very purpose which likely motivated you to undertake this course—to learn, to become a better decision maker, to broaden your perspective, and to increase your skill set.
At the beginning of the week in which they are due, exams and quizzes will be posted in the Tests & Quizzes section of our classroom. When you are prepared to take an assessment go to the Tests & Quizzes section of our classroom and click on the assessment. With the exception of the Final Exam, which is a 3 hour timed exam, all other graded assessments have no time limit. It is important for you to understand that you will be able to submit your answers to an assessment only once. Your answers must be submitted by the 11:55PM Eastern Time deadline, as indicated in the syllabus. I will not accept late submissions. So, please don’t wait until the last minute to submit your answers to a quiz or exam. As soon as you submit your answers your assessment will be graded, and your score will be recorded in the Gradebook. Twentyfour hours after the deadline and once everyone has submitted their answers, you can access the feedback by clicking on the assessment in the Tests & Quizzes section of our classroom. Naturally, if you answer any of the questions on an assessment incorrectly I urge you to review the feedback and reconcile any errors you may have made on a quiz or exam.
The Final Examination will be worth 25 points and count as 20% of the final grade. It will be a three hour, online, openbook, opennote exam. The final exam will cover all of the material presented during our course. You will be able to access the Final Exam only once. So, be sure to set aside a dedicated three hour period in which to complete it. You may not consult with any other person while taking the exam.
The notations used in statistical work aren’t found in many word processing programs, making it difficult to produce many of the symbols used in our course. You may wish to use the Symbol font in Microsoft Word and the Insert/Object/Microsoft Equation feature in Word when preparing documents related to our course. Insert/Symbol is also sometimes useful. Of course, you will also want to familiarize yourself with the Insert/Edit Equation feature contained in the Rich Text Editor that is available in the Rich Text Editor toolbar in our classroom. Additionally, since many of the computations and analyses required in our course can be easily carried out using Microsoft Excel, you may wish to familiarize yourself with the process whereby Excel outputs can be copied and pasted into a Word or pdf file.
Evaluation Criteria 
Grades for the course will be based on the following.
Grade Instruments  Points Possible  % of Final Grade 
Quiz 1  20  10% 
Quiz 2  20  10% 
Quiz 3  20  10% 
Quiz 4  20  10% 
Quiz 5  20  10% 
Graded Forums (8)  80 (10pts each)  10% 
Mid Term Examination  25  20% 
Final Examination  25  20% 
TOTAL  230  100% 
Students’ final grades will be posted within 7 days of the end of the semester. Students should not telephone the university looking for grades until at least 30 days after the end of the semester.
Please see the Student Handbook to reference the University’s grading scale.
Course Outline 
Week

Topic(s)

Learning Objective(s)  Reading(s)

Assignment(s)

1  The Nature of Probability and Statistics  CO1, CO2
Demonstrate knowledge of statistical terms
Explain the importance of computers and calculators in statistics 
Read and study Chapter 1
View the videos: Nature of Statistics and Probability
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Introduce yourself in the Introduction Forum and get to know your classmates. Remember, your post must be at least 250 words and must be posted by 11:55PM Eastern Time on the first Sunday of our course.
Respond to at least two other Week 1 Forum posts by 11:55PM Eastern Time on SUNDAY.
Suggested Practice Problems: Chapter 1 Review Exercises (p34): 5,6,8,11,13,19,21,29,31,3943,4549,51,57
Complete the Chapter 1 Quiz (p36). This does not need to be turned in. It is for your use. Answers are in the text.
Complete the APUS Honor Code and Pledge Assignment.

2  Frequency Distributions and Graphs  CO3
Organize data using frequency distributions
Represent data in frequency distributions graphically using histograms, frequency polygons, and ogives
Represent data using Pareto charts, time series graphs and pie graphs
Draw and interpret a stem and leaf plot
Draw and interpret a scatter plot for a set of paired data 
Read and study Chapter 2
View the videos: Frequency Distributions and Graphs
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 2 Review Exercises (p107): 1,3,11,17,19,27
Complete the Chapter 2 Quiz (p111). This does not need to be turned in. It is for your use. Answers are in the textbook.
Make a post to the Weeks 23 Forum by 11:55PM Eastern Time on Sunday.

3  Data Description  CO5
Summarize data using measures of central tendency such as the mean, median, mode and midrange
Describe data using measures of variation such as the range, variance, and standard deviation
Identify the position of a data value in a data set, using various measures of position such as percentiles, deciles and quartiles
Use the techniques of exploratory data analysis, including box plots and five number summaries to discover various aspects of data 
Read and study Chapter 3
View the videos: Data Description
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 3 Review Exercises (p186): 6,16,22,23
Complete the Chapter 3 Quiz (p189). This does not need to be turned in. It is for your use. Answers are in the text.
Respond to at least two other Weeks 23 forum posts by 11:55PM Eastern Time on Sunday.
Complete Quiz #1 by 11:55 PM Eastern Time on Sunday.
Access Quiz1_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. 
4  Probability and Counting Rules  CO6; CO7
Determine sample spaces and find the probability of an event
Find the probability of compound events using addition rules
Find the probability of compound events using multiplication rules
Find the conditional probability of an event
Find the total number of outcomes in a sequence of events using the fundamental counting rule
Use the permutation rule to find the number of ways that r objects can be selected from n objects
Find the number of ways that r objects can be selected from n objects without regard to order using the combination rule.
Find the probability of an event using counting rules 
Read and study Chapter 4
View the videos: Probability and Counting Rules
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 4 Review Exercises (p255): 2,3,6,15,17,24,27,32,34,39.
Complete the Chapter 4 Quiz (p258). This does not need to be turned in. It is for your use. Answers are in the text.
Make a post to the Weeks 45 Forum by 11:55PM Eastern Time on SUNDAY.

5  Discrete Probability Distributions.  CO9
Construct a probability distribution for a random variable
Find the mean, variance, standard deviation and expected value for a discrete random variable
Find the probability for X successes in n trials of a binomial experiment
Find the mean, variance, and standard deviation for the variable of a binomial distribution

Read and study Chapter 5
View the videos: Discrete Probability Distributions
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 5 Review Exercises (p298): 1,3,5,8,12,15,20,21.
Complete the Chapter 5 Quiz (p300). This does not need to be turned in. It is for your use. Answers are in the text.
Respond to at least two other Weeks 45 forum posts by 11:55PM Eastern Time on Sunday.
Complete Quiz #2 by 11:55 PM Eastern Time on Sunday.
Access Quiz2_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. 
6  The Normal Distribution I  CO8
Identify distributions as symmetric or skewed
Identify the properties of a normal distribution
Find the area under the standard normal distribution, given various z values
Find the probabilities for a normally distributed variable by transforming it into a standard normal distribution
Find specific data values for given percentages, using the standard normal distribution 
Read and study Chapter 6.1 6.2
View the videos Normal Distribution
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom

Suggested Practice Problems:
Complete the following questions in the Chapter 6 Review Exercises (p354): 1,2,3,4,6,12.
Make a post to the Weeks 67 Forum by 11:55PM Eastern Time on SUNDAY.

7  The Normal Distribution II  CO8
Use the central limit theorem to solve problems involving sample means for large samples
Use the normal approximation to compute probabilities for a binomial variable

Read and study Chapter 6.36.4
View the videos Normal Distribution
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 6 Review Exercises (p355): 16, 21.
Complete the Chapter 6 Quiz (p356). This does not need to be turned in. It is for your use. Answers are in the text.
Respond to at least two other Weeks 67 forum posts by 11:55PM Eastern Time on SUNDAY. 
8  Midterm Examination  Demonstrate Knowledge of Statistical Concepts  Review Chapters
1 – 6 
Make a post to the Weeks 89 Forum by 11:55PM Eastern Time on SUNDAY.
Complete the Midterm Exam by 11:55 PM Eastern Time on Sunday.
Access Midterm Exam_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. 
9  Confidence Intervals and Sample Size  CO10
Find a confidence interval estimate for the population mean when s is known.
Determine the sample size for finding a confidence interval for the mean
Find a confidence interval estimate for the population mean when s is unknown.
Find the confidence interval for a proportion
Determine the minimum sample size for finding a confidence interval for a proportion
Find a confidence interval for a variance and a standard deviation 
Read and study Chapter 7
View the videos Confidence Interval & Sample Size
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 7 Review Exercises (p399): 2,5,9,16.
Complete the Chapter 7 Quiz (p401). This does not need to be turned in. It is for your use. Answers are in the text.
Respond to at least two other Weeks 89 Forum posts by 11:55PM Eastern Time on SUNDAY.
Complete Quiz #3 by 11:55 PM Eastern Time on Sunday.
Access Quiz3_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once.

10  Hypothesis Testing I  CO11; C012
Understand the definitions used in hypothesis testing
State the null & alternate hypotheses
Find the critical values for the z test
State the five steps used in testing
Test means for large samples using the z test
Test means for small samples using the t test

Read and study Chapter 81 to 84
View the videos: Hypothesis Testing
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 8 Review Exercises (p470): 3,7,10,11.
Make a post to the Weeks 1011 Forum by 11:55PM Eastern Time on SUNDAY.

11  Hypothesis Testing II  CO11; CO12
Test proportions using the z test
Test variances or standard deviations using the Chi Square test
Test hypotheses using confidence intervals 
Read and study Chapter 85 to 86
View the videos: Hypothesis Testing
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 8 Review Exercises (p472): 15,17,18,20.
Complete the Chapter 8 Quiz (p473). This does not need to be turned in. It is for your use. Answers are in the text.
Respond to at least two other Weeks 1011 Forum posts by 11:55PM Eastern Time on SUNDAY.
Complete Quiz #4 by 11:55 PM Eastern Time on Sunday.
Access Quiz4_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once.

12  Testing Differences between means, variances and proportions  CO11; CO12
Test the difference between two population means using the z test
Test the difference between two population variances or standard deviations
Test the difference between two population means using the ttest
Test the difference between two means when using small dependent samples
Test the difference between two population proportions 
Read and study Chapter 9
View the videos: Testing the Differences in Means, Variances, and Proportions
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 9 Review Exercises (p530): 1, 4, 8, and 12.
Complete the Chapter 9 Quiz (p532). This does not need to be turned in. It is for your use. Answers are in the text.
Make a post to the Weeks 1213 Forum by 11:55PM Eastern Time on SUNDAY.

13  Regression and Correlation  CO13; CO14
Draw a scatter plot for a set of ordered pairs
Compute the correlation coefficient
Test the hypothesis: H_{0}: r =0 Compute the equation of the regression line
Compute the coefficient of determination
Compute the standard error of the estimate
Find a predication interval

Read and study Chapter 10
View the videos: Regression and Correlation
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 10 Review Exercises (p583): 4 and 8.
Complete the Chapter 10 Quiz (p584). This does not need to be turned in. It is for your use. Answers are in the text.
Respond to at least two other Weeks 1213 forum posts by 11:55PM Eastern Time on SUNDAY.
Complete Quiz #5 by 11:55 PM Eastern Time on Sunday.
Access Quiz5_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once.

14 
ChiSquare Tests and ANOVA 
CO15
Conduct Goodness of Fit tests
Use Contingency Tables to Test Independence 
Read and Study Chapter 11.1 – 11.3
View the videos: Hypothesis Testing
Videos are located at: http://www.apus.edu/media/mathWV/statistics.htm
View and study the PowerPoint presentation in the Lessons section of the classroom 
Suggested Practice Problems:
Complete the following questions in the Chapter 11 Review Exercises (p634): 5,8 and 13.
Complete the Chapter 11 Quiz (p636). This does not need to be turned in. It is for your use. Answers are in the text.
Make a post to the Weeks 1415 Forum by 11:55PM Eastern Time on SUNDAY. 
15  Course Review  Summarize Course Material  Review all course material.  Respond to at least two other Weeks 1415 forum posts by 11:55PM Eastern Time on SUNDAY. 
16  Final Examination  Demonstrate your knowledge of statistics for the analysis of business management decisions  Make a post to the optional Week 16 Forum. There is no requirement to respond to others, but you are encouraged to do so.
Complete the 3 hour timed, online Final Exam by 11:55 PM Eastern Time on Sunday.
Access Final Exam_MATH302 in the Tests & Quizzes section of our classroom. Remember you will be able to submit your answers only once. 
Policies 
Please see the Student Handbook to reference all University policies. Quick links to frequently asked question about policies are listed below.
Late Assignments
Students are expected to submit classroom assignments by the posted due date and to complete the course according to the published class schedule. The due date for each assignment is listed under each assignment. Generally speaking, late work may result in a deduction up to 20% of the grade for each day late, not to exceed 5 days. As a working adult I know your time is limited and often out of your control. Faculty may be more flexible if they know ahead of time of any potential late assignments.
Academic Dishonesy
Academic dishonesty incorporates more than plagiarism, which is using the work of others without citation. Academic dishonesty includes any use of content purchased or retrieved from web services such as CourseHero.com. Additionally, allowing your work to be place on such web services is academic dishonesty, as it is enabling the dishonesty of others. The copy and pasting of content from any web page, without citation as a direct quote, is academic dishonesty. When in doubt, do not copy/paste, and always cite.
Netiquette
Online universities promote the advance of knowledge through positive and constructive debate–both inside and outside the classroom. Discussions on the Internet, however, can occasionally degenerate into needless insults and “flaming.” Such activity and the loss of good manners are not acceptable in a university setting–basic academic rules of good behavior and proper “Netiquette” must persist. Remember that you are in a place for the fun and excitement of learning that does not include descent to personal attacks, or student attempts to stifle the discussion of others.
 Technology Limitations: While you should feel free to explore the fullrange of creative composition in your formal papers, keep email layouts simple. The Sakai classroom may not fully support MIME or HTML encoded messages, which means that bold face, italics, underlining, and a variety of colorcoding or other visual effects will not translate in your email messages.
 Humor Note: Despite the best of intentions, jokes and–especially–satire can easily get lost or taken seriously. If you feel the need for humor, you may wish to add “emoticons” to help alert your readers: ;), : ), J
Writing Expectations
 All students’ work is to be presented with quality and content consistent with this level college course. Grading on forum posts will include adherence to spelling, grammar, and if outside sources are used, proper citation and reference style as indicated below.
Citation and Reference Style
 All materials should be formatted in APA style. You can find an online APA style guide in the APUS Library. Navigate to APUS Log in » Online Library: CampusGuides » Library Tutorial Center »Writing Help or you can use the link http://apus.campusguides.com/writing/citation and then click on APUS APA Style Guide.
 Studentscan also use RefWorks 2.0 to help output the correct APA citation and APA reference style to be used as part of coursework for this class. RefWorks is an online webbased application that can be accessed through the APUS Online Library. Follow the links for APUS » Online Library: CampusGuides » Library Tutorial Center »RefWorks Help.
Disclaimer Statement
Course content may vary from the outline to meet the needs of this particular group.
Academic Services 
The Online Library is available to enrolled students and faculty from inside the electronic campus. This is your starting point for access to online books, subscription periodicals, and Web resources that are designed to support your classes and generally not available through search engines on the open Web. In addition, the Online Library provides access to special learning resources, which the University has contracted to assist with your studies. Questions can be directed to librarian@apus.edu.
 Charles Town Library and Inter Library Loan: The University maintains a special library with a limited number of supporting volumes, collection of our professors’ publication, and services to search and borrow research books and articles from other libraries.
 Electronic Books: You can use the online library to uncover and download over 50,000 titles, which have been scanned and made available in electronic format.
 Electronic Journals: The University provides access to over 12,000 journals, which are available in electronic form and only through limited subscription services.
 com: Turnitin.com is a tool to improve student research skills that also detects plagiarism. Turnitin.com provides resources on developing topics and assignments that encourage and guide students in producing papers that are intellectually honest, original in thought, and clear in expression. This tool helps ensure a culture of adherence to the University’s standards for intellectual honesty. Turnitin.com also reviews students’ papers for matches with Internet materials and with thousands of student papers in its database, and returns an Originality Report to instructors and/or students.
 Tutoring: Students have access to 10 free hours of tutoring service. Tutoring is available in the following subjects: math (basic math through advanced calculus), science (biology, chemistry, and physics), accounting, statistics, economics, Spanish, writing, grammar, and more. Additional information is located in the Online Research Center. Students may have access to some free hours of tutoring service per year depending on their affiliation. If you are Active Duty DOD Military (and their dependents), please go to the Online Library Tutorial page to link directly to your branch of service to start your online tutoring with Tutor.com: http://www.tutor.com/military/colleges/amuapus All other students (nonactive duty DOD military) who have NOT used Smarthinking but are interested in online tutoring, please go to the Online Library Tutorial page to link to the AMU/APU Civilian & CG Military Tutor.com portal at http://www.tutor.com/colleges/landing/apus
Detailed information regarding tutor.com is located in the Online Library on the Tutorial & Student Study Center page.
http://www.apus.edu/onlinelibrary/tutorials/index.htm
Any questions regarding online tutoring should be emailed to librarian@apus.edu. The library staff is available 7 days a week for about 18 hours a day (in shifts).
Supplemental Materials 
The following links are to online tutorials for this class. You may click on the links directly to view the discussion. http://www.apus.edu/media/mathWV/index.htm
Nature of Statistics and Probability
 Data Distributions — types of data
 Inference — What is it?
 Random Variables — definitions
 Sampling — How to select valid samples
 Sampling — Invalid Types
 Sampling — Random Samples
 Sampling — Valid Types
Frequency Distributions and Graphs
 Bar Graph
 Dot plot
 Frequency Polygon
 Histogram
 Ogive
 Pareto Chart
 Pie Chart
 StemandLeaf Plot
 Time Series Plot
Data Description
 Comparing two data distributions
 Data Distributions — calculating a trimmed mean
 Data Distributions — calculating mean and median
 Data Distributions — calculating range and interquartile range
 Data Distributions — calculating variance and standard deviation
 Data Distributions — Chebyshev’s Theorem
 Data Distributions — definition
 Data Distributions — measures of central tendency
 Data Distributions — measures of dispersion (spread)
 Data Distributions — modified box plots
 Data Distributions — resistant statistics
Probability and Counting Rules
 Continuous probability distribution calculations
 Probability — calc probabilities from relative frequency distributions
 Probability — definition and properties
 Probability — Independent versus Disjoint
 Probability — intersection of events
 Probability — tree diagram (1)
 Probability — tree diagram (2)
 Probability — union of events
 Probability — using properties of probability
 Probability Distributions – definitions
Discrete Probability Distributions
 Binomial Probability Calculation
 Binomial Probability Distribution
 Binomial, Geometric, and Poisson – definitions
 Confidence Interval for a Population Proportion
 Discrete probability distribution calculations
 Mean and standard deviations of a discrete probability distribution
 Sampling Distribution of Sample Proportion
Normal Distribution
 Central Limit Theorem
 Normal Distribution — Empirical Rule
 Normal Distribution — Empirical Rule (example)
 Normal Distribution — Finding data value given percentile
 Normal Distribution — Finding percentile
 Normal Distribution — Probability Calculation using calculator
 Normal Distribution — Probability Calculation using table
 Normal Distribution – Properties
 Normal Distribution — Standard Normal Distribution
 Sampling Distribution of Sample Mean from Normal Population
 Zscores
 Zscores — finding raw data value from zscore
 Zscores — finding standard deviation from zscore
 Zscores — who scored better?
Confidence Interval and Sample Size
 Confidence Interval for mean (sigma known)
 Confidence Interval for mean (sigma unknown)
 Confidence Intervals — Finding zcritical values
 Confidence intervals — when can you use?
 Confidence intervals compare width of z with t
 Confidence Intervals –Finding tcritical values
 Recipe for a Confidence Interval
 Sample Size Calculation (CI for p)
 Widths of confidence intervals
Hypothesis Testing
 Chisquare confidence interval for population variance
 Chisquare confidence interval for population variance example
 Chisquare distributions
 Chisquare goodnessoffit test example
 Chisquare test of homogeneity example
 Chisquare test of homogeneity example (calculator)
 Chisquare test of independence example
 Chisquare test of independence example (calculator)
 Chisquare test of population variance example
 Differences between normal and tdistributions
 Recipe for a Significance Test
 Sign Test for a population Proportion using Calculator
 Significance Test for a Population Proportion
 Tests requiring the Chisquare distribution
Testing the Differences in Means, Variances and Proportions
 Significance test for mean (sigma known)
 Significance test for mean (sigma known) using calculator
 Significance test for mean (sigma unknown)
 Significance test for mean (sigma unknown) using calculator
Regression and Correlation
 Regression – Assumptions
 Regression — Calculating Correlation Coefficient
 Regression – Confidence Interval for a Predicted y
 Regression – Confidence Interval for Slope (Beta)
 Regression — Correlation Coefficient Definition and Properties
 Regression — Example from Start to Finish
 Regression — Graphing a Residual Plot
 Regression – Prediction
 Regression — Residual Plot Definitions and Properties
 Regression – Scatter plot
 Regression — Test of Significance for Rho Population Correlation
 Regression — Test of Significance for Slope Beta
 Regression — What is it?