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.
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.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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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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