5. The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Scores range from 0 to 200. The mean score for U.S. college students is about 115, and the standard deviation is about 30. A teacher who suspects that older students have better attitudes toward school gives the SSHA to 25 students who are at least 30 years of age (mature students). Their mean score is x = 133.2. Conduct a test of significance (at a significance level of 0.01) for the teacher's claim that older students have better attitudes toward school by completing the following questions (refer to the lecture slides for the full procedure): (a) State the null hypothesis Ho and the alternative hypothesis Ha. (b) Calculate the test statistic. Round to 2 decimal places. (c) Find the P-value. Round to 4 decimal places. Include a diagram of the distribution with the area shaded. (d) Compare the P-value with the significance level o (see question 3 exam- ples) and then write the conclusion (i.e., There is sufficient evidence / There is not sufficient evidence . . .). Show your work