Scores in the first and fourth (final) rounds for a sample of 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 71 66 Aron Price 70 68 Scott Verplank 69 75 Charles Howell 72 66 D.A. Points 65 67 Jason Dufner 69 70 Jerry Kelly 65 65 Mike Weir 69 73 Soren Hansen 66 75 Carl Pettersson 70 68 D.J. Trahan 73 69 Bo Van Pelt 73 73 Bubba Watson 71 68 Ernie Els 69 73 Reteif Goosen 65 71 Cameron Beckman 69 72 Jeff Klauk 67 68 Nick Watney 68 73 Kenny Perry 68 74 Tommy Armour III 77 73 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 -value? t-value (to 3 decimals) Degrees of freedom t-value is 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? c. What is the margin of error for a 90 % confidence interval estimate for the difference between the population means? (to 3 decimals)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 42PFA

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Scores in the first and fourth (final) rounds for a sample of 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	71	66	Aron Price	70	68
Scott Verplank	69	75	Charles Howell	72	66
D.A. Points	65	67	Jason Dufner	69	70
Jerry Kelly	65	65	Mike Weir	69	73
Soren Hansen	66	75	Carl Pettersson	70	68
D.J. Trahan	73	69	Bo Van Pelt	73	73
Bubba Watson	71	68	Ernie Els	69	73
Reteif Goosen	65	71	Cameron Beckman	69	72
Jeff Klauk	67	68	Nick Watney	68	73
Kenny Perry	68	74	Tommy Armour III	77	73

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 -value?