Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table. First Final Round Round First Round Final Round Player Player Golfer 1 70 72 Golfer 11 72 72 Golfer 2 71 72 Golfer 12 72 70 Golfer 3 70 73 Golfer 13 70 73 Golfer 4 72 71 Golfer 14 70 75 Golfer 5 70 69 Golfer 15 68 70 Golfer 6 67 67 Golfer 16 68 65 Golfer 7 71 68 Golfer 17 71 70 Golfer B 68 74 Golfer 18 70 68 Golfer 9 67 71 Golfer 19 69 68 Golfer 10 70 69 Golfer 20 67 71 Suppose you would like to determine if the mean score for the first round of a golf tournament 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 o (a) Use 0.10 to test for a statistically significantly difference between the population means for first and fourth-round scores. State the null and alternative hypotheses. (Use - mean score first round - mean score fourth round.) OHO H₂H50 OHO H₂-D Hoid-O HD OH-0 H₂H SD OHNSO AHD Calculate the value of the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value-[
Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table. First Final Round Round First Round Final Round Player Player Golfer 1 70 72 Golfer 11 72 72 Golfer 2 71 72 Golfer 12 72 70 Golfer 3 70 73 Golfer 13 70 73 Golfer 4 72 71 Golfer 14 70 75 Golfer 5 70 69 Golfer 15 68 70 Golfer 6 67 67 Golfer 16 68 65 Golfer 7 71 68 Golfer 17 71 70 Golfer B 68 74 Golfer 18 70 68 Golfer 9 67 71 Golfer 19 69 68 Golfer 10 70 69 Golfer 20 67 71 Suppose you would like to determine if the mean score for the first round of a golf tournament 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 o (a) Use 0.10 to test for a statistically significantly difference between the population means for first and fourth-round scores. State the null and alternative hypotheses. (Use - mean score first round - mean score fourth round.) OHO H₂H50 OHO H₂-D Hoid-O HD OH-0 H₂H SD OHNSO AHD Calculate the value of the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value-[
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Transcribed Image Text:Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table.
First
Final
First
Round
Final
Round
Player
Round
Round
Player
Golfer 1
70
72
Golfer 11
72
72
Golfer 2
71
72
Golfer 12
72
70
Golfer 3
70
73
Golfer 13
70
73
Golfer 4
72
71
Golfer 14
70
75
Golfer 5
70
69
Golfer 15
68
70
Golfer 6
67
67
Golfer 16
68
65
Golfer 7
71
68
Golfer 17
70
Golfer B
68
74
Golfer 18
68
Golfer 9
67
71
Golfer 19
68
Golfer 10
70
69
Golfer 20
67
71
Suppose you would like to determine if the mean score for the first round of a golf toumament 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 do
(a) Use 0.10 to test for a statistically significantly difference between the population means for first and fourth-round scores.
State the null and alternative hypotheses. (Use - mean score first round - mean score fourth round.)
OHO
H₂H50
OHO
Ho: 0
H:HD
OH-0
H₂H5O
OHMO
OHNSO
Calculate the value of the test statistic. (Round your answer to three decimal places.)
Calculate the p-value. (Round your answer to four decimal places.)
p-value-
71
70
69
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