Question 2: An instructor teaching MSCI 2020 gave two midterm exams (Midterm 1 and Midterm 2) for her class. Midterm 1 was online exam and Midterm 2 was in-person exam. She wants to check whether the online performance is better than the in-person exam performance. She randomly selected 25 students from her class. Assume midterm exam grades are normally distributed. The data is given below: Midterm 1 77 66 86 55 78 97 62 52 80 86 95 84 72 57 91 91 74 78 75 69 82 52 79 71 93 Midterm 2 75 69 60 57 82 83 67 50 75 52 71 53 79 65 80 89 63 66 74 70 78 65 50 70 63 You are asked to do the appropriate hypothesis test at 6% significance level. a. Write down the hypothesis. b. Use excel for this test and get the excel output. c. Identify the rejection region. Write down the decision rule based on your rejection region. d. Fill the cell that shows the p-value of this test with green color e. Fill the cell that shows the Test statistic with yellow color f. State your conclusion with reason.