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You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the...

You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the context of this problem, μd=μ2−μ1μd=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=264n=264 subjects. The average difference (post - pre) is ¯d=3.6d¯=3.6 with a standard deviation of the differences of sd=20.4sd=20.4.

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 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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