In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided t-test. All the procedures should be done with 5% P-value or 95% confidence interval. The empirical literature suggests that class absenteeism undermines students’ academic performance and that an enforced mandatory attendance policy may be beneficial. Open Attendance data. Using data on 90 second-year students enrolled in a Statistics course, test if students who are assiduous in attending lectures have higher final grades than students who are usually absent. 1. What test/procedure did you perform? (5 points) a. One-sided t-test b. Two-sided t-test c. Regression d. Confidence Interval 2. What is the P-value/margin of error? (5 points) a. 0.005589 b. 0.02794 c. 0.05589 d. 0.002794 3. What is the Statistical interpretation? (5 points) a. The P-value is smaller than 0.5 thus we are confident to say that assiduous students have higher final grades. b. The P-value is greater than 5% thus the answer is inconclusive. c. The P-value is much smaller than 5% thus we are very certain that the slope is not zero. d. None of these 4. What is the conclusion? (5 points) a. The test is inconclusive and more data is needed. b. We are confident that regular attending students have higher final grades than absentee students. c. We cannot be confident that students who are assiduous in attending lectures have higher final grades than students who are usually absent. d. Since the test is inconclusive the conclusion is inconclusive as well. e. None of these. DATA: absent assiduous 60 90 80 40 80 70 70 60 70 100 40 100 60 100 70 90 90 90 70 50 70 90 50 30 70 10 90 40 40 80 60 90 50 80 30 40 70 70 50 40 40 70 60 50 0 60 70 90 20 90 10 80 70 60 60 80 20 70 70 30 80 80 20 40 40 60 30 80 60 60 40 90 20 70 90 70 60 80 40 100 70 60 70 80 90 70 60 40