You wish to test the following claim (HaHa) at a significance level of =0.005=0.005. For the context of this problem, d=21d=2-1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:d=0Ho:d=0 Ha:d<0Ha: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 93 subjects. The average difference (post - pre) is -3.7 with a standard deviation of the differences of 35.8. a. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = b. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = c. The test statistic is...

• in the critical region
• not in the critical region

d. This test statistic leads to a decision to...

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

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