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Question: Eight golfers were asked to submit their latest scores on their favorite golf courses. These golfers were each given a set of newly designed clubs. After playing with the new clubs for a few months, the golfers were again asked to submit their latest scores on the same golf courses. The results are summarized below.
a. Compute d¯ and sd.
b. Give a point estimate for μ1 - μ2 = μd.
c. Construct the 99% confidence interval for μ1 - μ2 = μd. from these data.
d. Test, at the 1% level of significance, the hypothesis that on average golf scores are lower with the new clubs.
The standard deviation of the sample was 6.2 weeks. Construct a 95 percent confidence interval for the population mean. Is it reasonable that the population mean is 28 weeks?
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