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You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the...

You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the context of this problem, μd=PostTest−PreTestμd=PostTest-PreTest one data set represents a pre-test and the other data set represents a post-test. Each row represents the pre and post test scores for an individual.

      Ho:μd=0Ho:μd=0
      Ha:μd≠0Ha:μd≠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
30.6 59.1
67 46.4
37.5 34.9
53 72.5
42 51.8
52.3 27.6
26.3 41.4
50 10.5
32.5 40
54.5 56.2
47.5 17.3
33.6 37.6
41.4 47.8
21.4 34.7
47.2 40.7
37.5 20.3
50 63.9
47.8 70.7
41.4 50.6
50.9 56.1
34.1 57.8

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