You wish to test the following claim (H1) at a significance level of α=0.005. For the context of this problem, d=x2−x1 where the first data set represents a pre-test and the second data set represents a post-test.       Ho:μd=0       H1: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=111 subjects. The average difference (post - pre) is ¯d=3.3 with a standard deviation of the differences of sd=38.5.

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You wish to test the following claim (H1) at a significance level of α=0.005. For the context of this problem, d=x2−x1 where the first data set represents a pre-test and the second data set represents a post-test.

      Ho:μd=0
      H1: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=111 subjects. The average difference (post - pre) is ¯d=3.3 with a standard deviation of the differences of sd=38.5.

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.
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