Given two dependent random samples with the following results:
Population 1 Population 2
79 83
65 63
63 72
82 72
69 72
68 75
60 53
51 57
Can it be concluded, from this data, that there is a significant difference between the two population means?
Let d=(Population 1 entry)-(Population 2 entry). Use a significance level of α=0.02 for the test. Assume that both populations are normally distributed.
State the null and alternative hypotheses for the test.