Test the given claim about the means of two populations. Assumethat two dependent samples have been randomly selected fromnormally distributed populations. A test of abstract reasoning isgiven to a random sample of students before and after theycompleted a formal logic course. The results are given below. Atthe 0.05 significance level, test the claim that the mean score isnot affected by the course. Include your null and alternativehypotheses, the test statistic, P-value or critical value(s),conclusion about the null hypothesis, and conclusion about theclaim in your answer.
| Before | 74 | 83 | 75 | 88 | 84 | 63 | 93 | 84 | 91 | 77 |
| After | 73 | 77 | 70 | 77 | 74 | 67 | 95 | 83 | 84 | 75 |
