You wish to test the following claim (HaHa) at a significance level of α=0.01. 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=0.01. 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=0
 Ha:μd<>


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=267 subjects. The average difference (post - pre) is ¯d=−2.6 with a standard deviation of the differences of sd=14.5




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 10, 2022
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