Player Round 1 Round 2 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 Scores in the first and fourth (final) rounds of a sample of 20 golfers who competed in PGA tournaments are shown in the file GolfScores. Suppose you would like to determine if the mean score for the first round of PGA Tour event is significantly different than the mean score of the fourth (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? Set your hypothesis to test if there is difference in the mean scores of the first and fourth rounds. Use α= .10 to test for a statistically significant difference between the population means for first- and fourth-round scores. What is the p-value? What is your conclusion? Will your conclusion in a) change if α = 0.05?

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Author:Amos Gilat
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Player Round 1 Round 2
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. Scores in the first and fourth (final) rounds of a sample of 20 golfers who competed in PGA tournaments are shown in the file GolfScores. Suppose you would like to determine if the mean score for the first round of PGA Tour event is significantly different than the mean score of the fourth (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?
  2. Set your hypothesis to test if there is difference in the mean scores of the first and fourth rounds.
  3. Use α= .10 to test for a statistically significant difference between the population means for first- and fourth-round scores. What is the p-value? What is your conclusion?
  4. Will your conclusion in a) change if α = 0.05?
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