A new prep class was designed to improve SAT test scores. Four students were Score before Score after Difference selected at random. Their scores on two practice exams were recorded, one before the class and one after. At a 5% significance level, test the claim that the 1840 1920 prep class will increase the mean student score on the SAT. Let p1 be the mean 1960 2160 score of students before the class and let up = [.11 uz. Assume variables are normally distributed. 1920 2200 a. If the scores after taking the class show improvement, 2150 2100 then llz will be (greater/less) than p1. This will cause the sign of up = [.11 uz to be (positiveegative) b. Write the hypotheses in terms of up. c. Find the p-value: (decimal form, 4 dec places). Circle one: p-value S a p-value > a d. Based on part c, circle the statement that must be true. TV in the CR TV not in the CR e. What is the decision of the test? (circle) Reject Ho f. At the significance level, there Fail to reject Ho (is/is not) enough evidence to support the claim that