**Please show all work!

Problem4 In order to improve the grades of students at XYZ, several incentive programs have been introduced. Results of random samples of grades from after and before the incentive programs are given below. Assume the two populations are normally distributed After Incentives 14 2.85 Before incentives 12 2.61 Sample Size Sample Mean Sample Standard Deviation 40 Sample Mode 2.5 3.0 Give the hypotheses. Compute the test statistic Using a.10 level of significance, test to determine whether the incentive programs have a. b. c. significantly increased the average grades. Discuss why