Calculation
You wish to test the following claim (H1) at a significance level of ? = 0.01. For the context of this problem, d = x2 ? x1 where the first data set represents a pre-test and the second data set represents a post-test.
H0: ?d = 0
H1: ?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 n = 24 subjects. The average difference (post ? pre) is d? = 3.9 with a standard deviation of the differences of sd = 19.3.
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...
