Statistics I
Fall 1999
MW 11-12:30

Professor: Betsy Greenberg

  Office: CBA 6.306

   Hours: MW 1:30 - 2:30 or by appointment

   E-mail: betsyg@mail.utexas.edu

   WWW: http://uts.cc.utexas.edu/~betsyg/ms

   Phone: 471-1756
 

TA: Seema Prasad
  Office: ENS 402

   Hours: TuTh 4:00 - 5:00 pm or by appointment
              Please email seema@ece.utexas.edu  by 3 pm
               if you intend to come to office hours.
 

Text:  Wackerly, Mendenhall, and Scheaffer, Mathematical Statistics with Applications, 5th Edition, 1996.

Grade: Homework: 25%

   Tests(2): 25% each

   Final Exam: 25%

Brief Description:
This course is the first in a two semester sequence providing mathematical explanations for statistical concepts together with data analysis applications. This first semester will cover foundations in probability and random variables, estimation, confidence intervals, hypothesis tests, and regression. The second semester will continue with these topics and also cover design of experiments, analysis of variance, analysis of categorical data, and non-parametric statistics.
Prerequisite: Familiarity with differential and integral calculus is assumed.

Computing:

We will use a computer package called Minitab to do calculations and graphics. This package is available for IBM compatible or Macintosh computers and can be purchased at the entrance of the University Coop textbook department. The Student Microcomputer Facility and College of Business Administration also have Minitab installed on both Macintosh and Windows computers. You can download a demo version from the Minitab Homepage. Data sets are available to download.  The data can be copied and pasted into Minitab worksheets.

Online help is available to help you get started with Minitab for Windows or for the Macintosh. Screenshot illustrations for individual Minitab commands are also available.

Homework:
Assignments will be made approximately weekly and will include problems from the textbook in addition to data analysis problems to be handed out.
Syllabus:
 
Week
Date
 Topic Reading
1
August 25
 Introduction* 1.1-1.6
2
30
 
September 1
 Probability 

Random Variables*

 2.4, 2.7, 2.8 

2.11, 3.1-3.3
3
6
 
8
 Labor Day 

Binomial Distribution*

   

3.4
4
13
 
15
 Continuous random variables 

Normal Distribution*

 4.2, 4.3 

4.5
5
20
 
22
 Bivariate Distributions 

Expectations

 5.2, 5.4 

5.5, 5.6
6
27
 
28
 Variance and Covariance 

Review

 5.7, 5.8
7
October 4
 
6
 Test #1 

Sampling Distributions*

   

7.1, 7.2
8
11
 
13
 Central Limit Theorem* 

Point Estimators

 7.3, 7.5 

8.1-8.3
9
18
 
20
 Confidence Intervals 

Large Sample Confidence Intervals*

 8.5 

8.6, 8.8
10
25
 
27
 Methods of Estimation 

Hypothesis Testing

 9.6, 9.7 

10.1, 10.2
11
November 1
 
3
 Large Sample Tests* 

Likelihood Ratio Tests

 10.3 

10.11
12
8
 
10
 Review 

Test #2

  
13
15
 
17
 Least Squares Regression* 

Properties of Least Squares Estimators

 11.1-11.3 

11.4
14
22
 
24
 Inferences for Regression Parameters 

Inference for Prediction*

 11.5 

11.6, 11.7
15
27
 
December 1
 Correlation* 

Review

 11.8
Final
Exam
9
 Thursday, 9:00 - noon  
 
* Minitab commands will be introduced.
Homework assignments:
 
Due Date Problems
Wednesday, September 8 1.2*, 1.5, 1.7*, 1.12, 
2.10, 2.51, 2.52, 2.51, 2.65, 2.98
 Wednesday, September 15 3.3, 3.6, 3.10, 3.13, 3.21, 3.22*, 
3.30, 3.32, 3.40*, 3.42
 Wednesday, September 22 4.1, 4.6, 4.10, 4.12, 4.17, 4.34*, 4.35*, 4.36, 4.37, 4.43
Wednesday, September 29 5.3, 5.7, 5.9, 5.21, 5.33, 5.35 
5.37, 5.38, 5.47, 5.49
Wednesday, October 13 5.44, 5.50, 5.55, 5.59, 5.63, 5.69 
7.1, 7.2, 7.5, 7.6
Monday, October 25 7.19, 7.20, 7.25, 7.32, 7.35, 7.37, 7.39 
8.4 (skip q4), 8.7, 8.8
Monday, November 1 8.36, 8.39, 8.41, 8.44, 8.49, 8.53 
9.53 (skip last 2 questions), 9.64
Monday, Novermber 8 Assignment #8
Wednesday, November 24 10.88, 11.5, 11.6, 11.7, 11.8, 11.11,11.15.
Monday, December 6 Assignment #10

* Problem is to be done using Minitab.