7. [5 marks] Suppose that we wanted to know whether the average scores in a very large Math class were the same or not.

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7 5 Marks Suppose That We Wanted To Know Whether The Average Scores In A Very Large Math Class Were The Same Or Not 1 (116.31 KiB) Viewed 54 times

7. [5 marks] Suppose that we wanted to know whether the average scores in a very large Math class were the same or not. To explore this, a sample of 9 students were selected. The scores of each test were recorded for each student, giving us a pair of observations for each student. The data are given in the table below: WIN Student Test 1 Score 1 75 2 76 3 77 4 81 5 87 6 79 7 74 8 9 71 Test 2 Score 74 72 79 85 83 80 79 96 75 Score Difference (Test 1 - Test 2) 1 4 -2 -4 4 -1 -5 -12 -4 Ол 84 Note: Assume that the score differences follow a Gaussian distribution. Conduct the appropriate hypothesis test to determine if there is a difference between test scores, on average. Be sure to show all steps clearly and show all relevant work in your solution (as noted in question 1).