Question: You wish to test the following claim () at a significance level of . For the context of this problem, 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 subjects. The average difference (post - pre) is with a standard deviation of the differences of .

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =