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

=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

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 =

The test statistic is...

• in the critical region
• not in the critical region

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• there is sufficient evidence to conclude that the mean difference of post-test from pre-test are equal to 0.
• there is not sufficient evidence to conclude that the mean difference of post-test from pre-test are equal to 0.
• there is sufficient evidence to conclude that the mean difference of post-test from pre-test is greater than 0.
• there is not sufficient evidence to conclude that the mean difference of post-test from pre-test is greater than 0.