Question

# You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. For the...

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. 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=14n=14 subjects. The average difference (post - pre) is ¯d=−17.4d¯=-17.4 with a standard deviation of the differences of sd=36.2sd=36.2.

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 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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