Question

You wish to test the following claim (Ha) at a significance
level of α=0.005. 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>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=19 subjects. The average
difference (post - pre) is ¯d=21.6 with a standard deviation of the
differences of sd=25.5.

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.

Answer #1

critical value for this test =2.878

test statistic = 3.692

The test statistic is in the critical region

This test statistic leads to a decision to reject the null

As such, the final conclusion is that The sample data support the claim that the mean difference of post-test from pre-test is greater than 0.

You wish to test the following claim (HaHa) at a significance
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the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
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Ho:μd=0Ho:μd=0
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level of α=0.10α=0.10. For the context of this problem,
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