
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN: 9780547587776
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
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Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table.
First
Final
First
Final
Player
Round
Round
Player
Round
Round
Golfer 1
70
72
Golfer 11
72
72
Golfer 2
71
72
Golfer 12
72
70
Golfer 3
70
75
Golfer 13
70
73
Golfer 4
72
71
Golfer 14
70
74
Golfer 5
70
69
Golfer 15
68
70
Golfer 6
67
67
Golfer 16
68
65
Golfer 7
71
67
Golfer 17
71
70
Golfer 8
68
73
Golfer 18
70
68
Golfer 9
67
72
Golfer 19
69
68
Golfer 10
70
69
Golfer 20
67
71
Suppose you would like to determine if the mean score for the first round of a golf tournament event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased
player concentration cause scores to come down?
(a) Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores.
State the null and alternative hypotheses. (Use u, = mean score first round - mean score fourth round.)

Transcribed Image Text:Suppose you would like to determine if the mean score for the first round of a golf tournament event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased
player concentration cause scores to come down?
(a) Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores.
State the null and alternative hypotheses. (Use u, = mean score first round - mean score fourth round.)
O Ho: H+ 0
H: H = 0
Hạ: Hg> 0
O Ho: Hg>0
O Ho: Hg = 0
H: H #0
o = Pri :°H O
Calculate the value of the test statistic. (Round your answer to three decimal places.)
-1.136 X
Calculate the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject H,. There is sufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.
O Do not Reject H,. There is sufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.
O Do not reject H.. There is insufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.
O Reject H. There is insufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.
(b) What is the point estimate of the difference between the two population means? (Use mean score first round - mean score fourth round.)
For which round is the population mean score lower?
O The mean of the fourth round scores was lower than the mean of the first round scores.
O The mean of the first round scores was lower than the mean of the fourth round scores.
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