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?

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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 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?

 

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