II. Problem Solving 1. Allied Corporation is trying to determine whether to purchase Machine A or B. It has leased the two machines for a month. A random sample of 5 employees has been taken. These employees have gone through a training session on both machines. Below you are given information on their productivity rate on both machines. (Let the difference d = Machine B - Machine A.) Productivity Rate Person Machine A Machine B 42 48 53 58 51 47 UAWN 53 55 47 53 a. State the null and alternative hypotheses to determine whether Machine B has a higher production rate than Machine A. (5 points) b. Find the mean and standard deviation for the difference. (6 points) c. Compute the test statistic. (6 points) d. Using p-value approach to test the null hypothesis stated in Part a at the 10% level. You must report the p-value. (6 points)