You wish to test the following claim (Ha) at a significance level of α=0.002. 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. Ho: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=−20.4 with a standard deviation of the differences of sd=41.3.
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