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MATH530 - Applied Statistics

Course Details

Course Code: MATH530 Course ID: 2680 Credit Hours: 3 Level: Graduate

This is an interactive course designed to help students achieve a greater understanding of the statistical methods and models available to analyze data and to solve problems associated with making decisions and testing hypotheses in uncertain conditions. The course is designed for students seeking a thorough appreciation of how statistical tools can support sound decision making efforts in a wide range of situations. Topics covered include inferential statistics, averages, measures of variation, the Normal distribution and its uses, sampling distributions, hypothesis testing for large and small samples, regression and correlation, and Chi-Square distributions. The skills, tools and methodologies needed to analyze systems and to make decisions are provided. State of the art analytical tools and quantitative methods, including computer-based solutions are discussed. 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 introduced and discussed during the course.

Course Schedule

Registration Dates Course Dates Session Weeks
11/26/18 - 05/03/19 05/06/19 - 06/30/19 Spring 2019 Session I 8 Week session
02/25/19 - 08/02/19 08/05/19 - 09/29/19 Summer 2019 Session I 8 Week session

Current Syllabi

After completing the course, the student should be able to:

CO-1. Identify types of data.
CO-2. Demonstrate the proper use of statistical terminology and notation.
CO-3. Describe the various types of sampling techniques.
CO-4. 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.
CO-5. Compute measures of central tendency and measures of variance for quantitative data.
CO-6. Explain the relationship between statistics and probability.
CO-7. Compute the probability of events using the laws of probability.
CO-8. Examine the outcomes in a sample space using various counting techniques.
CO-9. Distinguish between discrete and continuous random variables.
CO-10. Evaluate the mean and standard deviation of random variables and linear combinations of random variables.
CO-11. Analyze real-world applications using the binomial, geometric, Poisson, and normal probability distributions.
CO-12. Assess the probability of events associated with the normal distribution.
CO-13. Evaluate the sampling distribution for the sample mean, sample variance, and sample proportion.
CO-14. Create confidence interval estimates for population means, population proportions, the difference between population means, and the difference between population proportions from samples.
CO-15. Produce appropriate tests of hypotheses associated with various population parameters.
CO-16. Synthesize the results of statistical tests of hypotheses to draw meaningful conclusions regarding the significance of various types of statistical tests.
CO-17. Judge the risk associated with making a type I error in conducting tests of hypotheses by computing the p-value associated with such tests.
CO-18. Generate linear regression models to predict the value of a response variable.
CO-19. Justify the use of linear regression models to forecast future observations in various real-world applications.

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 part-time non-resident 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.

I urge you to utilize the Q&A 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 on the Q&A Forum. Naturally, I hope that the Q&A Forum will facilitate interactions among the members of our class. If you have an insight that you wish to share or a question you wish to have answered please use the Q&A Forum to exchange such information.

Student grades for the course will be based on class participation, three quizzes, and three examinations.

Class Participation: Punctuality, familiarity with the required readings, and classroom questions or comments that are relevant and insightful are valued. 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 in an effort to build a positive and effective learning environment--for yourself and others.

Class participation via the Discussion Forums is a course requirement and will count as 10 percent of the overall course grade. You are required to respond to the questions posed in these Discussion Forums by making a post in the Discussion Forum by 11:55PM EASTERN time on Wednesday during the week in which a discussion question is posed. Your responses to each of these questions will be evaluated using a 0 to 20 scale, and your contribution to these Discussion Forums will count a total of 10 percent toward the overall course grade. Keep in mind that you need not necessarily answer a discussion question correctly to earn full credit for your post. The evaluation 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. Collectively, I’m confident that we will derive the correct response to each of these discussion questions.

To make a post to a Discussion Forum, click on the Forum topic link, then click Start a New Conversation. In the title block of the dialog box that appears kindly insert your first and last name; compose your post in the message box; and then click Post Message. Answers to these discussion questions will be posted after the Wednesday 11:55PM EASTERN time deadline. At that time the Discussion Forum will be locked and no additional posts will be permitted. You are urged to read the solution post, the posts of your classmates, and the feedback that is provided. If you wish to continue to discuss a the question 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. To make a post to the Week 1 Introduction Forum, click on the Forum topic link, then click Start a New Conversation. In the title block of the dialog box that appears kindly insert your first and last name; compose your post in the message box; and then click Post Message.

Besides completing your enrollment in the course, the Week 1 Introduction Forum is designed to 1) build peer-to-peer relationships by introducing oneself and one’s background to the class; 2) to articulate individual student learning goals and/or expectations for the class. Therefore, in your introduction you may wish to touch upon the following:

1. Who you are and how you would like to be addressed.

2. Your academic major or program of study.

3. Your current status in your program of study.

4. Your academic goals including why you are taking this course and what you hope to achieve by completing it.

5. Other information about yourself that you would like to share

Quizzes & Examinations: Three examinations and three quizzes will be utilized to evaluate your performance in the course. Each exam will account for 20% of your overall grade. Each quiz will account for 10% of your overall 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, student-teacher 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. 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 and the course calendar. Late submissions are not accepted, 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. The correct answers will be available 24 hours after the deadline and once everyone has submitted their answers. At that time, 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 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 (the fx icon) contained in the Rich Text Editor that is available in the Forums section of 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.

Additionally, as noted above, 2 percentage points of extra credit will be awarded to every student making an appropriate post to the Week 1 Introduction Forum.

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.

The final grade in the course will be based on three examinations, three quizzes, and five Challenge Discussion Boards, as indicated below. Grades will be assigned based on the following scores:

NameGrade %
APUS Honor Code 1.00 %
APUS Honor Code and Pledge 1.00 %
Forums 10.00 %
Week 1 Forum 1.25 %
Week 2 Forum 1.25 %
Week 3 Forum 1.25 %
Week 4 Forum 1.25 %
Week 5 Forum 1.25 %
Week 6 Forum 1.25 %
Week 7 Forum 1.25 %
Week 8 Forum 1.25 %
Quizzes 30.00 %
Quiz 1_MATH530 10.00 %
Quiz 2_MATH530 10.00 %
Quiz 3 MATH530 10.00 %
Exams 60.00 %
Exam3_MATH530 20.00 %
Exam1_MATH530 20.00 %
Exam2_MATH530 20.00 %

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.

In addition to the required course texts, there are many public domain Websites that are useful. Please abide by the university’s academic honesty policy when using Internet sources.

Book Title:Understandable Statistics, 10th ed.
Publication Info:Brooks/Cole Publishing
Author:Brase, Charles Henry
Unit Cost:$323.02

Previous Syllabi

Not current for future courses.