You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05. For the context of this problem, d=x2−x1d=x2-x1 where the first data set represents a pre-test and the second data...


You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05. For the context of this problem, d=x2−x1d=x2-x1 where the first data set represents a pre-test and the second data set represents a post-test.



      Ho:μd=0Ho:μd=0

      H1:μd<><>



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-testpost-test
47.2-2.7
45.434.9
27.615.1
43.392.7
41.3-21.2
15.58.4
32.428.7
55.353.8
45.754.7
33.256.4
27.617.1
30.85.9
46.814.6
45.48.6
4325.8
5017
3236.6
33.6-22.7





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 less than 0.

  • There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0.

  • The sample data support the claim that the mean difference of post-test from pre-test is less than 0.

  • There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0.


Jun 03, 2022
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