3. The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students' study habits and attitudes toward school. Scores range from 0 to 200. The mean score for the US. college students is about 115. A teacher suspects that older students have different attitudes toward school than the 115 average. She gives the SSHA to a random sample of 36 students who are at least 30 years old. Their mean attitude score is 129 with a standard deviation of 38. (10 pts) a. Write the null and alternate hypothesis for this test. b. What are the assumptions (conditions) of this test? Were they met for this example? How do you know? Calculate the test statistic for this test. Show all your work. d. Use Excel to calculate the p-value for your test statistic. Write which formula you used in Excel and what your pvalue was. (HINT: these formulas are included in the One-Sample t-test Pre-class Activity) E"