You wish to test the following claim (HaHa) at a significance level of α=0.05. For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set...



You wish to test the following claim (HaHa) at a significance level of α=0.05. For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test.


      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 pre-test and post-test samples for n=243 subjects. The average difference (post - pre) is ¯d=2 with a standard deviation of the differences of sd=13.3.


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


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


The test statistic is...


  • in the critical region

  • not in the critical region






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.






Jun 07, 2022
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