A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected Sobe subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. The results for the test turn out to be: Ho: H = 35.0. H1:µ/35.0. Test statistic: t = 7.252. Critical values: t = -2.861, 2.861. Reject Ho. There is %3D sufficient evidence to warrant rejection of the claim that the mean is equal to 35.0. If a defense attorney argues the results are not valid because the sample size was too small, is his argument valid here? D Yes, because the t-test is not as powerful as the z-test. O No, because we rejected the null hypothesis. Yes, because we rejected the null hypothesis. No, the sample size is never an issue.

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A test of sobriety involves measuring the subject's motor skills. Twenty randomly-selected sober
subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01
level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0.
Use the traditional method of testing hypotheses. The results for the test turn out to be:
Ho: H = 35.0. H1:µ/35.0. Test statistic: t 7.252. Critical values: t = -2.861, 2.861. Reject Ho. There is
sufficient evidence to warrant rejection of the claim that the mean is equal to 35.0.
If a defense attorney argues the results are not valid because the sample size was too small, is his
argument valid here?
Yes, because the t-test is not as powerful as the z-test.
No, because we rejected the null hypothesis.
Yes, because we rejected the null hypothesis.
O No, the sample size is never an issuc.
O We need more information to answer.
Transcribed Image Text:A test of sobriety involves measuring the subject's motor skills. Twenty randomly-selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. The results for the test turn out to be: Ho: H = 35.0. H1:µ/35.0. Test statistic: t 7.252. Critical values: t = -2.861, 2.861. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean is equal to 35.0. If a defense attorney argues the results are not valid because the sample size was too small, is his argument valid here? Yes, because the t-test is not as powerful as the z-test. No, because we rejected the null hypothesis. Yes, because we rejected the null hypothesis. O No, the sample size is never an issuc. O We need more information to answer.
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