MA 487 - Introduction to Mathematical Statistics - Spring 2004

Assignments

Date and Time of Last Update to This Page: 09/27/10 03:06 PM


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Once we have finished covering a section of the text, you are responsible for working the non hand in homework problems for that section which are given below.  Homework problems from the Virtual Laboratories in Probability and Statistics (VLPS) will also be indicated below.

Assignments

 
Date of Class Assignment(s) Due

New Material Covered/

Activity Used

Non Hand In Homework Hand In Assignments (Due Date)

M 1/12

None

Intro to the Virtual Labs

and Review of Probability concepts.

- Based on level of familiarity, work through Minitab and Excel Tutorials  on my NSF project website.

- Start reading Sections C.1 and C.2 about discrete and continuous distributions in the VLPS.  Work problems C.1.1-17.

Easy Quiz 1 and Student Self Assessment (1/16)

W 1/14

None Review of Probability Concepts:  Discrete and Continuous Random Variables (In Text: Sections 3.1, 3.3, 3.5, 4.1, 4.2, 4.4) Finish problems assigned above, start working problems C.2.2 - 6, 10-16 in the VLPS  
F 1/16

Easy Quiz 1

and

Student Self Assessment

Review of Probability Concepts:  More on Discrete & Continuous Distributions, the Distribution Function (In Text:  Above Sections and 4.5)

- Finish problems assigned above and also work these problems in the VLPS C.6.12(a,b),13-17, 19, 20

- Review Mathematical Expectation and Moment Generating Functions (Sections 3.2, 3.4 of text)

 
M 1/19 No Class MLK Holiday      
W 1/21 (12:40-2:00)  None Review of Mathematical Expectation and Moment Generating Functions (Text:  Sections 3.2 and 3.4, VLPS:  Probability|Expected Value|Parts 1, 2, and 4) You should be able to derive the mean, variance and moment generating function for each distribution (that we have covered to date) featured on the front flaps of your text.  
F 1/23 (12:40-2:00) In Class Quiz 2 on Basic Distributions,  Mathematical Expectation, and Moment Generating Functions Introductory Lecture on Sampling Distributions (The Sample Mean)    
W 1/28 (12:40-2:00) Hand In Your Summary of the Lecture on Friday 1/23 The Gamma Distribution (Text:  Section 4.3, VLPS: Statistics|Special Distributions|Gamma)

Section 4.3:  1 - 5

VLPS: Statistics|Special Distributions|Gamma:  2, 3, 4, 18, 19, 20, 21

Homework 1: 

Section 4.3:  3 and 4

VLPS:  4

(Due Date:  2/2)

F 1/30 (12:40-2:00)   Distributions of Functions of a Random Variable, Review of Multivariate Distributions and Independent Random Variables (In Text Sections 4.5, 5.1)

Section 4.5:  1, 2, 3, 9, 11, 12 

Section 5.1:  1, 3, 5, 7, 9, 11

 
M 2/2 (12:40-2:00)  Homework 1 Due More on Independent Random Variables (In Text:  Sections 5.1, 6.1, 6.2, and 4.3 (the Chi-Square Distribution))

Section 6.1: 1, 2, 3, 4, 5, 6, 9, 11, 14

Section 6.2:  1-10, 13, 14

Section 4.3:  9, 10 (ans:  a=5.226, b=21.03), 11, 12, 14 (ans: .05), 15, 16 (Chi-Square Problems)

Homework 2:  VLPS: Statistics|Special Distributions|Gamma:  22, 23 and from Text Problem 14 in Section 6.1.

(Due Date:  2/11)

W 2/4 (12:40-2:00)   Distributions of Sums of Independent Random Variables and Random Functions Associated with the Normal Distribution (6.2 and 6.3)

Finish Problems Assigned Above

Section 6.3:  1-15

Add Problem 6.3-15 to Homework 2.
F 2/7 (12:40-2:00)   More from Section 6.3 and the Central Limit Theorem (6.4)

Section 6.4:  1-10

 
W 2/11 (12:40-2:00) Homework 2 Due Confidence Intervals for Means (7.2) and the T Distribution (6.6)

Section 7.2:  1-17 odd, 19 (a,b), 21

Section 6.6:  1, 2

 
M 2/16 (12:40-2:00)  

Finish Sections 7.2 and 6.6

Finish Homework Problems From 7.2 and 6.6 Assigned Above  
W 2/18 (12:40-2:00) In Class Quiz 3 on Sections 6.1-6.4 Start Point Estimation (7.1)

Work Example 7.1-1 on page 344 before next class period.

Section 7.1:  1, 2, 3, 5 (a,b), 7, 8, 9, 12, 13

Homework 3:  Problems 7.1-8 and 7.1-13

Due Monday 3/1

M 2/23 (12:40 - 2:00)   Finish Point Estimation (7.1) Finish Problems from Section 7.1  
W 2/25 (12:40-2:00)  Abstract for Student Paper and Presentation Due Confidence Intervals for Differences of Two Means (7.3) Start Problems from Section 7.3: 1, 3, 5, 7, 9, 10, 11, 13   
M 3/1 (12:40-2:00)

 Homework 3 Due

Review for Midterm

   
W 3/3 (12:40-2:00)  Midterm Exam Midterm Covers 4.3, 4.5, 6.1, 6.2, 6.3, 6.4, 6.6, 7.1, 7.2 Continue Working Problems from Section 7.3  
M 3/8 (12:40-2:00)  

More from 7.3

Work on Section 7.3 Problems

Homework 4:  Problem 7.3-10

(Due:  Wed. 3/17)

W 3/10 (12:40-2:00)  

Finish 7.3

Start Confidence Intervals for Proportions (7.5)

 

Finish Section 7.3 Problems

Section 7.4:  1, 3, 5 (optional)

Start Section 7.5:  1 - 17 odd

 

Section 7.6:  1- 17 odd

Add the following Problems to Homework 4: 

- Fill in the details of the derivation of formula 7.5.4 on page 381 of your text.  The derivation starts on the bottom of page 380)

- Problem 7.6-18

M 3/15 (12:40-2:00)  

Finish Confidence Intervals for Proportions (7.5)

Sample Size (7.6)

Finish Section 7.5:  1 - 17 odd

Section 7.6:  1- 17 odd

 
W 3/17 (12:40-2:00) Homework 4 Due Fundamentals of Hypothesis Testing - Tests About Proportions and Means (8.1, 8.2)

Section 8.1:  7, 9, 11, 13, 15, 17, 19

Section 8.2:  1, 3, 5, 7, 15

 
M 3/22- F 3/26 No Class - Spring Break Have a great Spring Break!    
M 3/29 (12:40-2:00)   More Hypothesis Testing- Tests about Means and the Paired t-test (8.1,8.2)

Finish the problems assigned in Sections 8.1 and 8.2 above.  Also work the following problems from these sections:

Section 8.1:  1, 3, 5

Section 8.2:  17, 19, 21

Feel free to use Minitab for these problems!  Minitab is available in the Madison Hall computer lab and the Mathematics Learning Center in the UAH Library.

Homework 5:  Problem 8.2-10   If you use Minitab for your computations, you should cut-and-paste the appropriate output into a word document to be handed in with your write-up.  (Due Wednesday, 4/7)
W 3/31 (12:40-2:00)   More Hypothesis Testing including Type I and Type II error analysis (8.1,8.2) Finish all problems assigned from Sections 8.1 and 8.2 Add the following to Homework 5:  Problem 8.1-12 with part (e) Find the probability of a Type II error if p=0.75.
M 4/5 (12:40-2:00)  Rough Draft of Project Paper Due Correlation and Regression (5.2, 7.8)

Section 5.2: 1, 11

Section 7.8:  1 (a,b), 2 (a,b), 3, 5, 11, 13, 15

Homework 6:  5.2-5 (also show that the regression line goes through the point (xbar,ybar); 5.2-12 add part (d) Plot a 95% confidence interval for the predicted values of y given a value of x on your plot of the data and the regression line.  (Due Wednesday 4/14)
W 4/7 (12:40-2:00) Homework 5 Due (8.2-10 & 8.1-12 with new part (e))

- More Regression - Overview of Tests and Confidence Intervals Associated with Regression

- Start Chi-Square Goodness of Fit Tests

Finish Homework from 5.2 and 7.8

Start Section 8.4 Problems:  1 - 11 odd

 
M 4/12 (12:40-2:00)   - More Chi-Square (Testing for Independence) Section 8.5:  5 - 9  
W 4/14 (12:40-2:00)  Homework 6 Due One-Way ANOVA Section 8.6:  1 - 13 odd  
M 4/19 (12:40-2:00) Final Draft of Project Paper Due

Also Hand-In a One-Paragraph Abstract for your Project Presentation

ANOVA Finish the Problems Assigned Above in Section 8.6 - Make Appointment with Me to Take an Assessment Quiz (it will take about 20 minutes).  This needs to be done before the final exam.
W 4/21 (12:40-2:00)   - Student Presentations    
M 4/26 Last Day of Class

- Student Presentations

- Review for Final

  - Download and complete the Student Self Assessment (Due Monday 5/3)
M 5/3 Final Exam 11:30 a.m. - 2:00 p.m.

Student Self Assessment Due

Solution to Problem 5.2-5

For Information on the Final Exam Topics, click here

   

 


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