You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. 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=64n=64 subjects. The average difference (post - pre) is ¯d=−0.6d¯=-0.6 with a standard deviation of the differences of sd=8.6sd=8.6.
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. 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
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 not equal to 0.
- There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.
- The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0.
- There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.
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