You wish to test the following claim (Ha) at a significance level of α=0.001. For the context of this problem, μd=μ2−μ1where the first data set represents a pre-test and the second data set represents a post-test.       Ho:μd=0       Ha: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 60 167.3 59.6 91.9 60.4 59.4 62.3 125.1 48.7 30.5 70.7 153.1 66.5 158.8 52.4 38.9 50.3 70.9 41.5 114 64.5 179.8 46 39.7 65.4 123.2 49 53.1 33.3 24.2 65.4 124.8 72.7 180 40 53.6 42.9 135.2 55.7 -10.4 63.1 140.2 55.4 61.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =  What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =  The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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You wish to test the following claim (Ha) at a significance level of α=0.001. For the context of this problem, μd=μ2−μ1where the first data set represents a pre-test and the second data set represents a post-test.

      Ho:μd=0
      Ha: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
60 167.3
59.6 91.9
60.4 59.4
62.3 125.1
48.7 30.5
70.7 153.1
66.5 158.8
52.4 38.9
50.3 70.9
41.5 114
64.5 179.8
46 39.7
65.4 123.2
49 53.1
33.3 24.2
65.4 124.8
72.7 180
40 53.6
42.9 135.2
55.7 -10.4
63.1 140.2
55.4 61.9



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

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

The p-value is...

  • less than (or equal to) αα
  • greater than αα



This test statistic leads to a decision to...

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



As such, the final conclusion is that...

  • There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.
  • There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.
  • The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0.
  • There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.
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