CENGAGENOW FOR ANDERSON/SWEENEY/WILLIAM
CENGAGENOW FOR ANDERSON/SWEENEY/WILLIAM
13th Edition
ISBN: 9781337094399
Author: Cochran
Publisher: IACCENGAGE
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Chapter 10.3, Problem 26E

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?

Player First Round Final Round
Michael Letzig 70 72
Scott Verplank 71 72
D. A. Points 70 75
Jerry Kelly 72 71
Soren Hansen 70 69
D. J. Trahan 67 67
Bubba Watson 71 67
Reteif Goosen 68 75
Jeff Klauk 67 73
Kenny Perry 70 69
Aron Price 72 72
Charles Howell 72 70
Jason Dufner 70 73
Mike Weir 70 77
Carl Pettersson 68 70
Bo Van Pelt 68 65
Ernie Els 71 70
Cameron Beckman 70 68
Nick Watney 69 68
Tommy Armour III 67 71
  1. a. Use α = .10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? What is your conclusion?
  2. b. What is the point estimate of the difference between the two population means? For which round is the population mean score lower?
  3. 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.
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Chapter 10 Solutions

CENGAGENOW FOR ANDERSON/SWEENEY/WILLIAM

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