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# You wish to test the following claim ( H a ) at a significancelevel of Î± = 0.10 . For the context of this problem, Î¼ d = Î¼ 2 âˆ’ Î¼1 where the first ...

## Question

###### You wish to test the following claim ( H a ) at a significancelevel of Î± = 0.10 . For the context of this problem, Î¼ d = Î¼ 2 âˆ’ Î¼1 where the first data set represents a pre-test and the seconddata set represents a post-test. H o : Î¼ d = 0 H a : Î¼ d < 0 Youbelieve the population of difference scores is normallydistributed, but you do not know the standard deviation. You obtainpre-test and post-test samples for n = 8 subjects. The averagedifference (post - pre) is Â¯ d = âˆ’ 15.1 with a

You wish to test the following claim ( H a ) at a significance level of Î± = 0.10 . For the context of this problem, Î¼ d = Î¼ 2 âˆ’ Î¼ 1 where the first data set represents a pre-test and the second data set represents a post-test. H o : Î¼ d = 0 H a : Î¼ d < 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 = 8 subjects. The average difference (post - pre) is Â¯ d = âˆ’ 15.1 with a standard deviation of the differences of s d = 47.4 . What is the critical value for this test? (Report answers accurate to two decimal places.) critical value = What is the test statistic for this sample? (Report answers accurate to two 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 less than 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0. The sample data support the claim that the mean difference of post-test from pre-test is less than 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0.

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