You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
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=46n=46 subjects. The average difference (post - pre) is ¯d=7.2d¯=7.2 with a standard deviation of the differences of sd=25.8sd=25.8.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
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