26. Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in PGA tournaments are shown in the following table. Suppose you would like to determine if the mean score for the first round of a PGA Tour 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? First Round Final First Round Final Round Player Round Player Michael Letzig Scott Verplank D. A. Points . Jerry Kelly Soren Hansen 70 72 72 75 71 Aron Price Charles Howell 72 72 71 70 72 70 67 72 70 73 Jason Dufner 70 Mike Weir Carl Pettersson Bo Van Pelt Ernie Els 70 68 77 70 69 D. J. Trahan Bubba Watson Reteif Goosen Jeff Klauk Kenny Perry 67 68 65 71 67 71 70 68 68 75 73 Cameron Beckman Nick Watney Tommy Armour III 70 67 70 69 68 69 67 71 Use a = .10 to lest for a statistically significantly difference between the popula- tion means for first- and fourth-round scores. What is the p-value? What is your conclusion? What is the point estimate of the difference between the two population means? For which round is the population mean score lower? c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? Could this confidence interval have been used to test the hypothesis in part (a)? Explain. b.
26. Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in PGA tournaments are shown in the following table. Suppose you would like to determine if the mean score for the first round of a PGA Tour 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? First Round Final First Round Final Round Player Round Player Michael Letzig Scott Verplank D. A. Points . Jerry Kelly Soren Hansen 70 72 72 75 71 Aron Price Charles Howell 72 72 71 70 72 70 67 72 70 73 Jason Dufner 70 Mike Weir Carl Pettersson Bo Van Pelt Ernie Els 70 68 77 70 69 D. J. Trahan Bubba Watson Reteif Goosen Jeff Klauk Kenny Perry 67 68 65 71 67 71 70 68 68 75 73 Cameron Beckman Nick Watney Tommy Armour III 70 67 70 69 68 69 67 71 Use a = .10 to lest for a statistically significantly difference between the popula- tion means for first- and fourth-round scores. What is the p-value? What is your conclusion? What is the point estimate of the difference between the two population means? For which round is the population mean score lower? c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? Could this confidence interval have been used to test the hypothesis in part (a)? Explain. b.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:reports the higher mean score?
26. Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in
PGA tournaments are shown in the following table. Suppose you would like to determine
if the mean score for the first round of a PGA Tour 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?
First
Final
First
Round
Final
Round
Player
Round
Round
Player
Michael Letzig
Scott Verplank
D. A. Points .
70
72
Aron Price
Charles Howell
Jason Dufner
Mike Weir
Carl Pettersson
72
72
71
72
72
70
70
75
71
70
70
68
73
Jerry Kelly
Soren Hansen
D. J. Trahan
Bubba Watson
72
77
70
69
70
65
67
67
Bo Van Pelt
68
67
75
71
Ernie Els
Cameron Beckman
Nick Watney
Tommy Armour III
71
70
Reteif Goosen
Jeff Klauk
Kenny Perry
68
70
68
67
73
69
68
70
69
67
71
a. Use a = .10 to test for a statistically significantly difference betwcen the popula-
tion means for first- and fourth-round scores. What is the p-value? What is your
conclusion?
b. What is the point estimate of the difference between the two population means? For
which round is the population mean score lower?
c. What is the margin of error for a 90% confidence interval estimate for the difference
between the population means? Could this confidence interval have been used to test
the hypothesis in part (a)? Explain.
27. À manufacturer produces both a deluxe and a standard model of an automatic sander
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