Spring 2006

MATH 3332/01 - Probability and Statistical Inference

Instructor

Dr. Anda Gadidov

Office

Science Building Room 529

Phone

(770)423-6098, e-mail: agadidov@kennesaw.edu
All emails should originate from the students’ netid.student.kennesaw.edu account or from their WebCT account. Our e-mail system allows for email filtering software that blocks certain domains, one of which could be your commercial email provider.  For more information on setup and use of your email account, go to https://students.kennesaw.edu/email.

Office hours

MW 12:30pm- 2:00pm;  other times by appointment

Class meets

MW 2:00pm-3:15pm in CL1005

Text

Probability and Statistics for Engineering and the Sciences, sixth ed., by Jay L. Devore,  Thomson Learning, ISBN 0-534-39933-9

Prerequisites

Math 1190 Calculus I

Description

This course is designed to introduce the student to probability and both descriptive and inferential statistics. Topics include: random variables and probability distributions, expectation and variance of random variables, properties of estimators, exploratory data techniques, confidence intervals, hypothesis tests for population mean and proportion. STATDISK, or SAS and TI 83 Plus calculator will be used.

Learning 
outcomes

1. Students should acquire appropriate vocabulary (population, sample, census, parameter, statistic) and notation.
2. Students will be able to correctly plot and describe statistical data.
3. Students will be able to correctly interpret statistical plots.
4. Students will understand the importance of measures of center and variation.
5. Students will understand basic probability concepts and be able to use them accordingly.
6. Students will learn and understand the concept of random variable and its probability distribution.
7. Students will know to distinguish between discrete and continuous distributions and be able to apply the concepts to real- life problems.
8. Students will be able to build confidence intervals to estimate population parameters such as means and proportions from statistical data.
9. Students will be able to perform hypothesis tests for population parameters and appropriately interpret the results.
10. Students will be able to successfully use software to describe, analyze, and perform inferential statistics.
11. Students will gain appreciation for the importance of statistics in everyday life.

Topic outline

Chapter 1: Overview and Descriptive Statistics: basic concepts, mean, variance and standard deviation; exploratory data analysis. 

Chapter 2: Probability: properties of probability; counting methods; conditional probability; independence. 
Chapter 3: Discrete Distributions: discrete random variables; expected value; the Bernoulli distribution, hypergeometric and the Poisson distribution. 
Chapter 4: Continuous Distributions: continuous random variables and probability density functions; the Uniform, the Normal distribution, the Gamma family of distributions. 
Chapter 5: Joint Probability Distributions and Random Samples; distribution of sums of random variables; random functions associated with normal distributions; the Central Limit Theorem. 
Chapter 6: Point estimation: general concepts. 
Chapter 7: Confidence intervals: confidence intervals for means, proportions and variances; sample size. 
Chapter 8: Tests of Statistical Hypotheses; tests for means, proportions and variances; tests of the equality of two normal distributions.

Grading

Homework will be assigned and be part of the grade. I encourage you to work the problems since this is the best way to prepare for this course.  Check my homepage http://math.kennesaw.edu for updates on the course. You are also encouraged to attend the weekly talks, and monthly Math Nights organized by the Mathematics Department. At these talks you will see researchers presenting their work, students presenting a Capstone experience in general a wide array of applications of Mathematics. For each talk you attend there will be a 2 point bonus added to your exam of choice.

Your grade will be based on your performance on homework assignments, class participation, quizzes and tests. There will be a quiz almost every week, three semester exams and a final comprehensive exam. Quizzes will be graded on a scale of 0 to 10 and only the best ten grades will count toward your final grade. The final is scheduled on Monday, May 3, 2:00 pm- 4:00pm
Make-up quizzes or tests will not be given unless there are exceptional circumstances.  If you must miss a test, you should notify me in writing before the scheduled test time. 
Grades will be assigned as follows: 

Quizzes

100p 

 

A

90% and above

HW

100p

 

B

between 80% and 90%

Exam 1

100p

 

C

between 70% and 80%

Exam 2

100p

 

D

between 60% and 70%

Exam 3

100p

 

F

below 60%

Final exam 

125p

 

 

 

Total

625p

 

 

 

Tentative schedule of exams:  Exam 1: Feb. 15 , Chapters 1-3
                                             Exam 2: Mar. 15, Chapters 4-5
                                             Exam 3: Apr. 17, Chapters 6-8

Academic
misconduct

Every KSU student is responsible for upholding the provisions of the Student Code of Conduct,
as published in the Undergraduate and Graduate Catalogs. Section II of the Student Code of
Conduct addresses the University’s policy on academic honesty, including provisions regarding 
plagiarism and cheating, unauthorized access to University materials, misrepresentation/falsification
of University records or academic work, malicious removal, retention, or destruction of library
materials, malicious/intentional misuse of computer facilities and/or services, and misuse of
student identification cards. Incidents of alleged academic misconduct will be handled through the established procedures of the University Judiciary Program, which includes either an “informal” resolution by a faculty member, resulting in a grade adjustment, or a formal hearing procedure, which may subject a student to the Code of Conduct’s minimum one semester suspension requirement.

Withdrawal
policy

Students choosing to withdraw from this course without academic penalty must do so by March 3, 2006.  Withdrawal forms can be obtained from the Office of the Registrar.  The completed form must be approved by the Registrar.  A student ceasing to attend class and completing course requirements will be assigned a failing grade if official withdrawal has not been completed.  There is a new University policy on the total number of withdrawals a student may have.

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