Question

You wish to test the following claim (HaHa) at a significance level of α=0.05. For the...

You wish to test the following claim (HaHa) at a significance level of α=0.05. For the context of this problem, μd=PostTest−PreTestμd=PostTest-PreTest. Each row gives the scores of a single individual.

      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
66.4 128
65.2 128.6
65.2 73.5
35.2 72.7
59.3 47
55 -0.1
43.4 114.7
56.7 65
58.7 46.4
36.6 69.2
72 104.6
49.2 80.7
70.9 105.9
46.1 38.1
47.5 95.3
65.2 93.1
54 60
48.8 79.1
54 -11.9



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.)

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

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