Q. 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. Golfer 1 2 3 4 5 6 7 8 Own clubs 23 23 69 73 73 72 23 23 New clubs 72 81 68 73 75 70 73 75 (a) Construct the 99% confidence interval for ?1 − ?2 = ?d from these data. (b) Test, at the 1% level of significance, the hypothesis that on average golf scores are lower with the new clubs.
Q. 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. Golfer 1 2 3 4 5 6 7 8 Own clubs 23 23 69 73 73 72 23 23 New clubs 72 81 68 73 75 70 73 75 (a) Construct the 99% confidence interval for ?1 − ?2 = ?d from these data. (b) Test, at the 1% level of significance, the hypothesis that on average golf scores are lower with the new clubs.
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Author:Amos Gilat
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Q. 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.
Golfer | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
Own clubs | 23 | 23 | 69 | 73 | 73 | 72 | 23 | 23 |
New clubs | 72 | 81 | 68 | 73 | 75 | 70 | 73 | 75 |
(a) Construct the 99% confidence interval for ?1 − ?2 = ?d from these data.
(b) Test, at the 1% level of significance, the hypothesis that on average golf scores are lower with the new clubs.
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