A high school teacher wants to know if a new study program improves test scores of her students. She records the scores of her students on exams before the program is introduced, and after: Student 1 2 3 4 5 6 7 8 Before 82 74 51 96 85 72 75 64 After 95 76 63 98 77 69 81 72 a) Using the 5% significance level, can you conclude that the new study program is effective? Use the p-value approach. b) Construct a 98% confidence interval for the mean d.