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A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953 and a standard deviation of $463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.

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In a study designed to test the effectiveness of acupuncture for treating migraine, 142 subjects were treated with acupuncture and 80 subjects were given a sham treatment. The numbers of migraine attacks for the acupuncture treatment group had a mean of 1.8 and a standard deviation of 1.4. The number of migraine attacks for the sham treatment group had a mean of 1.6 and a standard deviation of 1.2.

Construct the 95% confidence interval estimate of the mean number of migraine attacks for those treated with acupuncture.

Construct the 95% confidence interval estimate for the mean number of migraine attacks for those given the sham treatment

Compare the two confidence intervals. What do the results suggest about the effectiveness of acupuncture?

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