MATH472 - Introduction to Mathematical Statistics - Spring 2005

Class Pace/Assignments

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


Up ] MATH472 Syllabus ] [ Class Pace/Assignments ]

 

Once we have finished covering a Section in the text, you are responsible for working the non hand in homework problems for that section given at the above link.   This page will be updated as we progress through the class so please check regularly for updates.

 

For Quick Minitab Instructions click here.  For a downloadable pdf file (Meet Minitab 14) with a few more details click here.

 

Assignments (in reverse chronological order)

 
Week & Date of Class Assignment(s) Due/Quiz or Test Scheduled

Material Covered

Homework (Practice and Hand-In)

Week 15

M 5/2

Final Exam

Final Exam Topics

3:00-5:30 p.m.

   

Week 14

F 4/29

Please see the Student Presentations Page for Abstracts, etc.

Also see the Project Evaluation Form I will be using.

Presentation 5:  John Burton

Presentation 6:  John Larson & Brice O'Hara

 

Week 14

W 4/27

Presentation 3:  Jen Eckrote & Thomas Fields

Presentation 4:  Megan Aldrich & Tiffany Timm

 

Week 14

M 4/25

Presentation 1:  Kevin Strosnider & Kris Tuck

Presentation 2:  Lindsay Robson & Demetria Wilson

 

Week 13

 F 4/22

  - More Analysis of Variance including Comparing Analysis of Variance to Regression - Finish practice problems assigned below

Week 13

W 4/20

  - Start Analysis of Variance (8.6, 8.7) Practice:  Section 8.6:  1 - 13 odd

Week 13

M 4/18

 

- Finish Chi-Square Tests

- Finish Practice Problems Assigned below.

Week 12

F 4/15

Presentation Abstract and Presenter Bios Due (in electronic form to Dr. L.) - More with Chi-Square Tests Practice:  Section 8.5:  1, 5 - 15 odd

Week 12

W 4/13

  - Start Chi-Square Tests:  Sections 8.4 and 8.5 Practice:  Section 8.4:  1 - 11 odd, 15

Week 12

M 4/11

Hand-In Homework 8 Due

NEW DUE DATE!

- Finish Regression Basics Practice:  Section 7.9: 1, 3, 5, 7

Week 11

F 4/8

 

- More on Regression:  Section 7.9 (or 8.8)

Check out the Formulas and Relationships handout for Simple and Multiple Regression

Week 11

W 4/6

  - More on Regression:  Section 7.9 (or 8.8)  

Week 11

M 4/4

  - More Regression:  Section 7.8

Practice: 

Section 5.2:  1, 5 (also prove the line goes through mu X and mu Y), 11

Section 7.8:  1 (a,b), 3 , 5, 11 (a,b, d), (Use Minitab, Excel, or your TI-83 for the computational problems.)

Add to Hand-In Homework 8:  5.2-5 (also show that the line you derive passes through the point (mu X, mu Y) and that beta equals row times sigma Y divided by sigma X)

Week 10

F 4/1

  - Start Regression: Section 5.2  

Week 10

W 3/30

Impromptu Hand-In Homework Due - Finish Section 7.1

Finish  all practice problems from Section 7.1

Hand-In Homework 8:   Work problem 7.1-4 (For this problem show that the max. likelihood estimator for lambda is (surprise!) the sample mean and also draw a histogram of the data fitted with a Poisson curve with the maximum likelihood estimator as the parameter).  Due Friday, 4/8.  NOTE:  I will very likely be adding another problem from the Regression material to this assignment!

Week 10

M 3/28

  - Continue with Section 7.1  

Week 9

F 3/25

Hand-In Homework 7 Due - Section 7.1 - Point Estimation - Maximum Likelihood Estimators Practice:  Section 7.1:  1, 3, 5 (a and b only), 7 (for part (c) only compute the maximum likelihood estimate), 9

Week 9

W 3/23

 

- Section 8.1 - Hypothesis Tests for Proportions, Errors in Hypothesis Tests

Practice:  Section 8.1:  1 - 15 odd

Week 9

M 3/21

  - More on Hypothesis Testing fundamentals Make sure you have finished all practice problems assigned from Sections 8.2 and 8.3
M 3/14 - F 3/18 Spring Break!    

Week 8

F 3/11

  - Cover highlights from Section 8.3

Practice:  Section 8.3:  1 - 7 odd, 15, 17, 21

Hand-In Homework 7:  Work problems 8.2-6, 8.3-14.  Clearly indicate your null and alternative hypothesis, what test statistic you are using and why, the p-value of the test, and you conclusion in the context of the problem.  Due Friday, March 25, 2005.

Week 8

W 3/9

Take-Home Midterm Exam Due Beginning of Class - Start Chapter 8 - Hypothesis Testing, Section 8.2

Read Section 8.1

Practice:  Section 8.2:  1, 3, 5, 7, 9, 15, 17

Week 8

M 3/7

Noon: deadline to withdraw with grade of "W"

- More on Confidence Intervals for Proportions (Section 7.5)

- Sample Size (Section 7.6)

Practice:  Section 7.6:  1 - 17 odd

Week 7

F 3/4

Take In-Class Midterm Exam

Receive Take-Home Midterm Exam

- In-Class Midterm Exam covers the following sections: 3.3 - 3.5, 4.1 - 4.4, 6.1 - 6.4, 6.6 (t-distrib.), 7.2, 7.3

- Take-Home Exam may also include the following sections (tentative list):  7.5, 7.6

 

Week 7

W 3/2

Hand-In Homework 6 Due

- Confidence Intervals for Proportions (Section 7.5)

Practice:  Section 7.5:  1 - 11 odd

Week 7

M 2/28

No Class - Snow Day    

Week 6

F 2/25

Abstract for Class Paper and Presentation Due - Confidence Intervals for the Difference of Two Means (Section 7.3)  

Week 6

W 2/23

  - Finish on Confidence Intervals for Means  

Week 6

M 2/21

Hand-In Homework 5 Due - More on Confidence Intervals for Means (with an Intro to the T distribution (Sec. 6.6))

Finish the practice problems assigned below.

Hand-In Homework 6

Week 5

F 2/18

  - Confidence Intervals for Means (Section 7.2)

Practice: Sections 7.2:  1 - 21 odd and

Section 6.6 #1, 2

Week 5

W 2/16

  - The Central Limit Theorem (Section 6.4) Practice:  Section 6.4:  1 - 9 odd

Week 5

M 2/14

Hand-In Homework 4 Due

- More on Random Functions Associated with Normal Distributions (Section 6.3)

Finish all practice problems assigned below.

Hand-In HW5

Week 4

F 2/11

  - More on Independent Random Variables:  Random Functions Associated with Normal Distributions (Sections 6.2 and 6.3) Practice:  Section 6.3:  1 - 15

Week 4

W 2/9

  - Review of Independent Random Variables and Sums of Independent Random Variables (Sections 6.1 and 6.2)

Practice:  Section 6.2:  1, 3 (on part (a) use Moment Generating Functions), 5, 7, 9, 11, 13

Add to Hand-In HW4:  Add problem 6.2 #8 to your hand-in assignment.  Work it two ways:  using n independent Poisson r.v.s (this is how it is stated in the text) and using n independent Chi-Square r.v.s.

Week 4

M 2/7

  - Review Hand-In Homework 3 - Look over Sections 6.1 and 6.2 of your text.

Week 3

F 2/4

Hand-In Homework 3 Due

- More on the Normal Distribution (Relationship with Chi-Square, Normal q-q plots)

Finish all practice problems assigned from Section 4.4 below

Hand-In HW4:  Section 4.4 #12 (find the mean, standard deviation, and graph a histogram and q-q plot of the data). Due Monday 2/14

Week 3

W 2/2

  - Review of the Normal Distribution (Section 4.4) Practice:  Section 4.4:  (Make sure you can use your calculator to work these problems):  1 - 9 odd, 17, 21.  Use Minitab or some other software package to work these problems:  13, 15, 19 (b,c)

Week 3

M 1/31

  - The Chi-Square Distribution (Section 4.3) Finish Problems Assigned below from Section 4.3

Week 2

F 1/28

Hand-In Homework 2 Due - The Gamma Family of Distributions:  Exponential, Gamma, Chi Square (Sections 4.2, 4.3)

Practice:  Section 4.3:  1, 5, 7, 9, 10, 11, 12, 14, 15,

Hand-In HW3: Section 4.3: 3, 4, 13 Due Friday, 2/4/05

Week 2

W 1/26

 

- The Exponential and Gamma Distributions (Sections 4.2, 4.3)

Practice:  Section 4.2: 6 - 11, 13, 15, 19

Week 2

M 1/24

  - Finish the Poisson Distribution, Review Properties of Continuous Distributions (Sections 4.1, 4.2). Finish the Practice problems assigned below from Section 3.5, including those that require the use of Minitab.

Week 1

F 1/21

Easy Homework 1 Due - The Poisson Distribution (Section 3.5)

Practice:  Start these problems Section 3.5: 1 - 5, 7, 9, 10, 11 - 17 odd.  On the simple computational problems, use the VLPS to get a quick graph of the Poisson distribution!  We will discuss how to use Minitab to work the data intensive problems (11 on).

Hand-In HW 2:  Section 3.5 #9 (calculate both the exact and approximate values of these probabilities - clearly indicate the distributions and parameters of all random variables you use), and #12 (you will definitely want to use a software package for this problem!).  Due 1/28

Week 1

W 1/19

 

- Continue Review of Bernoulli Trials (Sections 3.3, 3.4)

Practice:  Use the Virtual Labs to work the following problems in Chapter 11 (Bernoulli Trials):

Section 1 (Introduction): 8, 9, 10, 11, 12

Section 2 (The Binomial Distribution): 4, 5, 28, 30 a-d, 31, 37, 38, 39

Section 3 (The Geometic Distribution):  4, 5, 14, 15

Here is a Link to a Page with Answers (scroll down the page)

Week 1

M 1/17

Easy Homework 1 (Due 1/21)

- Review of Syllabus (Technology Issues)

- Start Review of Bernoulli Trials and Resulting Distributions (Binomial, Geometric, Negative Binomial) 

Practice:  Make sure your laptop is configured with the required software (see the Syllabus).  Work through the Minitab and Excel tutorials on my NSF Project Website.  Also see the excellent Minitab instructions by Dr. Hans Engler of Georgetown.

 


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