Eight golfers were asked to submit their latest scores on their favorite golf course. 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: golfers 1 2 3 4 5 6 7 8 own clubs 77 80 69 73 73 72 75 77 new clubs 72 81 68 73 75 70 73 75 a. Compute ?̅and ?? b. Give a point estimate for ?? = ?1 − ?2 c. Construct the 99% confidence interval for ?? = ?1 − ?2 d. Test at the 1% level of significance, the hypothesis that on average golf scores are lower with the new clubs.

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Eight golfers were asked to submit their latest scores on their favorite golf course. 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:

golfers 1 2 3 4 5 6 7 8
own clubs 77 80 69 73 73 72 75 77
new clubs 72 81 68 73 75 70 73 75


a. Compute ?̅and ??
b. Give a point estimate for ?? = ?1 − ?2
c. Construct the 99% confidence interval for ?? = ?1 − ?2
d. Test at the 1% level of significance, the hypothesis that on average golf scores are lower with the new clubs.

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