Question

You wish to test the claim that post-test scores are an improvement, at a significance level of 0.05

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
51.4	56.5
36.8	63.5
51	55.6
45	69.9
38	22.3
50	64.9
37.2	48.4
29.3	31.3
56.9	63
29.3	40.1
39.6	49.9
50.3	28.7
62.4	65.9
39.2	37.1
70.5	66.4
15.8	18.9
30.7	71.6
76.2	61.9
56	66.8
39.6	68.2
43.3	57.4
25.8	30.9
46.7	42.6
67.4	65.9

Use correct notation for all answers:
a.) State the null and alternative hypothesis.

b.) What is the p-value for this sample?

c.) State your conclusion.

d.) Interpret your conclusion specific to this situation.  

Answer 1