Problem 4. (13 marks in total) A business student claims that, on average, an MBA student is required to prepare more than five cases per week. To examine the claim, a statistics professor asks a random sample of 10 MBA students to report the number of cases they prepare weekly. There results are exhibited below. 2 7 4 8 9 5 11 3 74 Assume that the number of cases is normally distributed with a standard deviation of 1.5. (a) (10 marks) Can the professor conclude at the 5% significance level that the claim is true? (b) (3 marks) What is the p-value of the test?