A researcher wishes to know if golf scores own clubs are lower with the new clubs. Eight golfers were asked to submit their latest scores on their favourite 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 12 3 4 56|7 8 Own clubs 77 80 69 73 73 72 75 77 New clubs 72 81 68 73 75 70 73 75 (d = own clubs – new clubs) (a) List out the difference, d, and give a point estimate for the difference in mean and standard deviation. (b) State a suitable null hypothesis, alternative hypothesis and tail test. (c) Calculate the test statistic, t*. (d) Determine the degree of freedoms and critical value for a = 0.025. Test, by using critical value method at the 2.5% level of significance, the hypothesis that on average golf scores are lower with the new clubs. (e)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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please answer questions c,d,e.

A researcher wishes to know if golf scores own clubs are lower with the new clubs. Eight golfers
were asked to submit their latest scores on their favourite 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 45 6|78
Own clubs 77 80 69 73 73 72 75 77
New clubs 72 81 68 73 75 70 73 75
(d = own clubs – new clubs)
(a)
List out the difference, d, and give a point estimate for the difference in mean and
standard deviation.
(b)
State a suitable null hypothesis, alternative hypothesis and tail test.
(c)
Calculate the test statistic, t*.
(d)
Determine the degree of freedoms and critical value for a = 0.025.
(e)
Test, by using critical value method at the 2.5% level of significance, the hypothesis
that on average golf scores are lower with the new clubs.
Transcribed Image Text:A researcher wishes to know if golf scores own clubs are lower with the new clubs. Eight golfers were asked to submit their latest scores on their favourite 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 45 6|78 Own clubs 77 80 69 73 73 72 75 77 New clubs 72 81 68 73 75 70 73 75 (d = own clubs – new clubs) (a) List out the difference, d, and give a point estimate for the difference in mean and standard deviation. (b) State a suitable null hypothesis, alternative hypothesis and tail test. (c) Calculate the test statistic, t*. (d) Determine the degree of freedoms and critical value for a = 0.025. (e) Test, by using critical value method at the 2.5% level of significance, the hypothesis that on average golf scores are lower with the new clubs.
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