It is possible to test hypotheses about before and after changes

3. It is possible to test hypotheses about "before and after" changes, a so- called "paired test." You already saw a "before and after" problem in the context of confidence intervals: Exercise 2 in Section 8.6. Now let's do a "paired test" problem. We suspect that on average stu- dents will score higher on their second attempt at the SAT mathematics exam than on their first attempt. Here the population is the changes in score (second try minus first try). [2, 14.18] (a) What is the value of the claimed constant Mo? (b) Using Formula 88 notation, what is the alternative hypothesis Ha? (c) Is H. right-tailed, left-tailed, or two-tailed? (d) Using complete sentences, interpret the alternative hypothesis Ha. (e) Using complete sentences, interpret the null hypothesis Ho