In: Statistics and Probability
Test the given claim about the means of two populations. Assume
that two dependent samples have been randomly selected from
normally distributed populations. 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. Include your null and alternative
hypotheses, the test statistic, P-value or critical value(s),
conclusion about the null hypothesis, and conclusion about the
claim 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 |