A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. At the 0.05 significance level, test the claim that the mean score is not affected by the course using PHANTOMS.
Before: 74, 83, 75, 88, 84, 63, 93, 84, 91, 77
After: 73, 77, 70, 77, 74, 67, 95, 83, 84, 75
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