One of the datasets available with the text is about the Golden State Warriors 2015-2016 Season - there is a total of 82 games in a NBA season. One of the variables is Free Throws Attempted and Free Throws Made. We will work with this variable to answer the following questions.

1. How many more (or fewer) free throw attempts do the Warriors tend to get (on average) at home games as compared to their road games? Find a 95% Confidence Interval for the difference (home - road) in mean free throw attempts. There were n = 41home games for which x = 21.854 and s = 7.80 . There were n = 41road games for which x = 21.805 and s = 7.75

2. Do the Warriors make more free throws (on average) during games they played home than on the road? There were n = 41home games for which x =17.07 and s = 6.10 . There were n = 41away games for which x =16.24 and s = 5.99 .

The Comprehensive Assessment of Outcomes in Statistics (CAOS) exam is an online multiple-choice test on concepts covered in a typical Introductory Statistics course. Students can take a pretest version before instruction and a posttest version after instruction. Scores on the pretest and posttest for a random sample of n =10 students with one instructor are shown below.

Student A B C D E F G H I J

Pretest 42.5 40 47.5 65 60 47.5 42.5 37.5 42.5 37.5

Posttest 60 45 55 80 65 72.5 57.5 55 57.5 55

3. Use this information to compute and interpret a 95% confidence interval for the improvement in mean CAOS scores between the two exams for this one instructor's class. (Mean of the Differences)

4. Can we conclude, at the 5% significance level, that the mean improvement from the pretest to the posttest for students with this one instructor is higher than the national norm of 9.1 points?