Question

You wish to test the following claim ( H a ) at a significance level of α = 0.005 . For the context of this problem, μ d = P o s t T e s t − P r e T e s t where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your μ 1 and μ 2 are so that the differences are computed correctly.)

H o : μ d = 0

H a : μ d ≠ 0

You believe the population of difference scores is normally distributed, but you do not know the standard deviation.

You obtain the following sample of data:

pre-test	post-test
46.8	51.2
63.2	65.9
61.9	59.5
48.4	65
66.5	77.1
53.4	53.4
64.3	60
63.6	64.9
48.1	42.4
38.1	26.4
59.7	50.3
43.5	46
53.4	60.8
51.3	60
53.9	42.2
62.6	68
56.1	61.5
66	66.9
47.7	53.7
44.9	38.6

What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.)

What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.)

Answer 1

this p value software calculated. We don't have that much big table for the total value what we got here.. Check the calculations.