You wish to test the following claim (Ha) at a significance level of=0.001

. For the context of this problem,d=21 where the first data set represents a pre-test and the second data set represents a post-test.

Ho:d=0

Ha:d>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 36 subjects. The average difference (post - pre) is 4.9 with a standard deviation of the differences of 32.6.

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 =