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 (Golfweek, February 14, 2009, and February 28, 2009). 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 Sleve McDichael 72 72 Onson Sweemey 68 68 Darryl Archideld 72 72 Anatoli Smorin 68 68 Rey McScriff 73 73 Glenallen Mixon 69 69 Mario McRlwain 74 74 Raul Chamgerlain 69 73 Mike Sernandez 70 73 Tony Smehrik 71 69 Player First Round Final Round Bobson Dugnutt 73 75 Willie Dustice 65 73 Scott Dourque 68 70 Shown Furcotte 70 68 Dean Wesrey 69 76 Mike Truk 72 72 Dwigt Rortugal 70 77 Tim Sandaele 72 66 Karl Dandleton 69 70 Todd Bonzalez 69 69 2a. Use α=0.10 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?
2. 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 (Golfweek, February 14, 2009, and February 28, 2009). Suppose you would like to determine if the mean score for the first round of a PGA Tour |
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Player |
First Round |
Final Round |
|
|
Sleve McDichael |
72 |
72 |
|
|
Onson Sweemey |
68 |
68 |
|
|
Darryl Archideld |
72 |
72 |
|
|
Anatoli Smorin |
68 |
68 |
|
|
Rey McScriff |
73 |
73 |
|
|
Glenallen Mixon |
69 |
69 |
|
|
Mario McRlwain |
74 |
74 |
|
|
Raul Chamgerlain |
69 |
73 |
|
|
Mike Sernandez |
70 |
73 |
|
|
Tony Smehrik |
71 |
69 |
|
|
Player |
First Round |
Final Round |
|
|
Bobson Dugnutt |
73 |
75 |
|
|
Willie Dustice |
65 |
73 |
|
|
Scott Dourque |
68 |
70 |
|
|
Shown Furcotte |
70 |
68 |
|
|
Dean Wesrey |
69 |
76 |
|
|
Mike Truk |
72 |
72 |
|
|
Dwigt Rortugal |
70 |
77 |
|
|
Tim Sandaele |
72 |
66 |
|
|
Karl Dandleton |
69 |
70 |
|
|
Todd Bonzalez |
69 |
69 |
|
2a. Use α=0.10 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?
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