a. Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? t-value (to 3 decimals) Degrees of freedom p-value is greater than 0.20 What is your conclusion? There is no significant difference between the mean scores for the first and final rounds. b. What is the point estimate of the difference between the two population means? (to 2 decimals) For which round is the population mean score lower? First round c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (to 3 decimals) Could this confidence interval have been used to test the hypothesis in part (a)? Yes Explain. Use the point of the difference between the two population means and add and subtract this MOE. If zero is in the interval the difference is not statistically significant. If zero is not in the interval the difference is statistically significant.

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a. Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value?
t-value
(to 3 decimals)
Degrees of freedom
p-value is greater than 0.20
What is your conclusion?
There is no
significant difference between the mean scores for the first and final rounds.
b. What is the point estimate of the difference between the two population means?
(to 2 decimals)
For which round is the population mean score lower?
First round
c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means?
(to 3 decimals)
Could this confidence interval have been used to test the hypothesis in part (a)?
Yes
Explain.
Use the point of the difference between the two population means and add and subtract this MOE. If zero is
in the interval the
difference is not statistically significant. If zero is not
in the interval the difference is statistically significant.
Transcribed Image Text:a. Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? t-value (to 3 decimals) Degrees of freedom p-value is greater than 0.20 What is your conclusion? There is no significant difference between the mean scores for the first and final rounds. b. What is the point estimate of the difference between the two population means? (to 2 decimals) For which round is the population mean score lower? First round c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (to 3 decimals) Could this confidence interval have been used to test the hypothesis in part (a)? Yes Explain. Use the point of the difference between the two population means and add and subtract this MOE. If zero is in the interval the difference is not statistically significant. If zero is not in the interval the difference is statistically significant.
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 whether the mean score for the first round of 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? Enter negative values
as negative numbers.
First
Final
First
Final
Player
Round
Round
Player
Round
Round
Michael Letzig
67
66
Aron Price
70
74
Scott Verplank
66
68
Charles Howell
76
72
D.A. Points
76
65
Jason Dufner
69
73
Jerry Kelly
69
71
Mike Weir
70
77
Soren Hansen
75
75
Carl Pettersson
76
65
D.J. Trahan
66
72
Вo Van Pelt
66
69
Bubba Watson
65
76
Ernie Els
67
72
Reteif Goosen
73
77
Cameron Beckman
72
75
Jeff Klauk
68
72
Nick Watney
74
67
Kenny Perry
67
66
Tommy Armour III
71
76
Transcribed Image Text: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 whether the mean score for the first round of 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? Enter negative values as negative numbers. First Final First Final Player Round Round Player Round Round Michael Letzig 67 66 Aron Price 70 74 Scott Verplank 66 68 Charles Howell 76 72 D.A. Points 76 65 Jason Dufner 69 73 Jerry Kelly 69 71 Mike Weir 70 77 Soren Hansen 75 75 Carl Pettersson 76 65 D.J. Trahan 66 72 Вo Van Pelt 66 69 Bubba Watson 65 76 Ernie Els 67 72 Reteif Goosen 73 77 Cameron Beckman 72 75 Jeff Klauk 68 72 Nick Watney 74 67 Kenny Perry 67 66 Tommy Armour III 71 76
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