. The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude, and study habits of college students. Scores range from 0 to 200 and follow (approximately) a Normal distribution with mean 115 and standard deviation 25. You suspect that incoming freshmen have a mean which is different from 115, because they are often excited and anxious about entering college. You give the SSHA to 25 students who are incoming freshmen and find their mean score is 116.2 a. What is the null and alternative hypothesis? b. What is the proper test statistic and its value? c. For a significance level of 5%, what is the cut-off value for this test? d. Find the p-value. ECO 213 Spring 2021 Dr. Peterson University of Illinois Springfield Page 2 of 2 e. What do you conclude? f. Suppose the school wants to know if it should add more resources to provide support for freshman. The concern is that freshman might have a lower average SSHA but if the average is higher then there is no concern. How would that change your hypothesis test? The cut-off value? The p-value?