5. 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 2 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 Round First Round Final Round Player Michael Letzig Scott Verplank D. A. Points Jerry Kelly Soren Hansen Player 70 71 70 72 70 72 72 75 Aron Price Charles Howell Jason Dufner Mike Weir Carl Pettersson 72 72 72 70 73 77 69 68 70 D. J. Trahan Bubba Watson 67 67 Bo Van Pelt 68 65 70 68 Emie Els Cameron Beckman Nick Watney Тommy Amour ш 71 67 71 Reteif Goosen 68 75 70 Jeff Klauk 67 70 73 69 69 67 68 Kenny Perry 71 (a). Use a = .10 to test for a statistically significantly difference between the popu- lation means for first- and fourth-round scores. What is the p-value? What is your conclusion?

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5. 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?
Final
Round
Final
Round
First
First
Player
Round
Player
Round
Michael Letzig
Scott Verplank
D. A. Points
Jerry Kelly
Soren Hansen
D. J. Trahan
70
72
Aron Price
72
72
71
70
72
72
75
71
Charles Howell
Jason Dufner
Mike Weir
72
70
70
70
73
77
70
67
Carl Pettersson
68
70
65
69
67
Bo Van Pelt
68
Bubba Watson
71
67
Emie Els
71
70
Reteif Goosen
68
75
Cameron Beckman
70
68
Jeff Klauk
Nick Watney
Tommy Armour III
67
73
69
68
Kenny Perry
70
69
67
71
(a). Use a = .10 to test for a statistically significantly difference between the popu-
lation means for first- and fourth-round scores. What is the p-value? What is your
conclusion?
Transcribed Image Text:5. 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? Final Round Final Round First First Player Round Player Round Michael Letzig Scott Verplank D. A. Points Jerry Kelly Soren Hansen D. J. Trahan 70 72 Aron Price 72 72 71 70 72 72 75 71 Charles Howell Jason Dufner Mike Weir 72 70 70 70 73 77 70 67 Carl Pettersson 68 70 65 69 67 Bo Van Pelt 68 Bubba Watson 71 67 Emie Els 71 70 Reteif Goosen 68 75 Cameron Beckman 70 68 Jeff Klauk Nick Watney Tommy Armour III 67 73 69 68 Kenny Perry 70 69 67 71 (a). Use a = .10 to test for a statistically significantly difference between the popu- lation means for first- and fourth-round scores. What is the p-value? What is your conclusion?
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