Stat 2000: Solutions for Distance Assignment 2 (classroom sections should take a look, too)

Published: Sun, 03/12/17

I have attached the solutions to Assignment 2 for those of you who aren't in distance.  The questions and tips are below.
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Did you read my tips on how to study and learn this course?  If not, here is a link to those important suggestions:
Did you miss my Tips for Assignment 1? Click here.
The department posted SOLUTIONS for Assignment 1 (these are not my solutions). Click here.
Tips for Assignment 2
Here is a link to the actual assignment, in case you don't have it handy:
Please note that I made major changes to my book in September 2014.  If you are using a book older than September 2014, you are missing about 100 pages of new material and an entirely new lesson on Probability.

Study Lessons 4 and 5 in my study book (if you have it) to learn the concepts involved in Assignment 2.  Remember my advice in the tips above.  Don't start working on the assignment too soon.  Study and learn the lesson first, and use the assignment to test your knowledge.  Of course, always seek out assistance from my book, your course notes, etc. if you ever hit a question you don't understand, but try not to be learning things as you do an assignment.  Learn first, then put your learning to the test.
Questions 1 and 2
Make sure you have read this important message I sent about changes to Lesson 4 in my book:

This is obviously a two-sample problem like my Lesson 4, #6 and #7.  Be sure you use the Rule of Thumb to decide whether you will use the pooled method or the unpooled method.  If ratio of standard deviations is less than 2, you pool. 
Question 3
You should recognize that this is a matched pairs problem.  Note that the A and B scores in a matched pair are dependent, not independent.  However, each pair is independent of other pairs.  For a small sample, the differences must be normally distributed for us to reliably use t in a matched pairs test.
Questions 4 and 5
Similar to my Lesson 4, #3 and #4.
Question 6
I teach you how to interpret P-values in Lesson 2, #6.  Be careful though, those were interpretations for P-values for the mean.  Now you are interpreting for the mean difference in matched pairs, so be careful in your wording.
Questions 7 to 11
Make sure you have read this important message I sent about changes to Lesson 4 in my book:

This is obviously a two-sample problem like my Lesson 4, #6 and #7.  Be sure you use the Rule of Thumb to decide whether you will use the pooled method or the unpooled method.  If ratio of standard deviations is less than 2, you pool. 

For question 8, I teach you how to interpret confidence intervals in Lesson 1, #1(b), for example.  Be careful though, those were interpretations for confidence intervals for the mean.  Now you are interpreting for the difference between two means, so be careful in your wording.
Questions 12 to 15
More two-sample stuff.