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c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? .791 (to 3 decimals)

c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? .791 (to 3 decimals)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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. t-value Degrees of freedom p-value is greater than 0.20 What is your conclusion? Player Michael Letzig Scott Verplank D.A. Points Jerry Kelly Soren Hansen D.J. Trahan Bubba Watson Reteif Goosen Jeff Klauk Kenny Perry a. Use α = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? a -1.024 There is no b. What is the point estimate of the difference between the two population means? 19 Yes (to 3 decimals) -1.15 (to 2 decimals) For which round is the population mean score lower? ✓ Explain. First Round 71 .791 (to 3 decimals) Could this confidence interval have been used to test the hypothesis in part (a)? 69 69 73 69 69 72 69 65 Final Round 66 KORN KNORR 75 68 66 76 72 75 72 67 significant difference between the mean scores for the first and final rounds. First round c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? 77 71 Player Aron Price Charles Howell Jason Mike Weir Carl Bo Van Pelt Ernie Els Cameron Beckman Nick Watney Tommy Armour III Dufner First Final Round Round 77 Pettersson 67 75 70 70 74 75 71 7 74 77 7 7 5 2 17 1 65 66 66 76 67 72 77 75 72 72 71 LOED DI
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. t-value Degrees of freedom p-value is greater than 0.20 What is your conclusion? Player Michael Letzig Scott Verplank D.A. Points Jerry Kelly Soren Hansen D.J. Trahan Bubba Watson Reteif Goosen Jeff Klauk Kenny Perry a. Use α = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? a -1.024 There is no b. What is the point estimate of the difference between the two population means? 19 Yes (to 3 decimals) -1.15 (to 2 decimals) For which round is the population mean score lower? ✓ Explain. First Round 71 .791 (to 3 decimals) Could this confidence interval have been used to test the hypothesis in part (a)? 69 69 73 69 69 72 69 65 Final Round 66 KORN KNORR 75 68 66 76 72 75 72 67 significant difference between the mean scores for the first and final rounds. First round c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? 77 71 Player Aron Price Charles Howell Jason Mike Weir Carl Bo Van Pelt Ernie Els Cameron Beckman Nick Watney Tommy Armour III Dufner First Final Round Round 77 Pettersson 67 75 70 70 74 75 71 7 74 77 7 7 5 2 17 1 65 66 66 76 67 72 77 75 72 72 71 LOED DI
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