You wish to test the following claim (Ha) at a significance level of a = 0.005. For the context of this problem, μd = μ2 - μ1 where the first data set represents a pre-test and the second data set represents a post-test.
H0: μd = 0
Ha: μd ≠ 0
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 8 subjects. The average difference (post-pre) is d = -26 with a standard deviation of the differences of sd = 33.4.
What is the test statistic for this sample?
What is the p-value for this sample?