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Dr. Stoney and Dr. McAuliffe both teach statistics at Shochoe Bottom University. Of interest is the...

Dr. Stoney and Dr. McAuliffe both teach statistics at Shochoe Bottom University. Of interest is the difference in the mean score earned by all of Dr. Stoney’s students on the test and the mean score earned by all of Dr. McAuliffe’s students on the test. A simple random sample of 72 students who took Dr. Stoney’s test was selected, the mean score on the test for this sample of 72 students was 78.3 with a standard deviation of 11.2. An independent simple random sample of 61 students who took Dr. McAuliffe’s test was selected, the mean score on the test for this sample of 61 students was 80.2 with a standard deviation of 9.7. It is conjectured that the mean score of all students who took Dr. Stoney’s test is different from the mean score of all students who took Dr. McAuliffe’s test. If appropriate, use this information to test (BY HAND) the hypotheses at the ?? = .10 level of significance.

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