You may need to use the appropriate technology to answer this question. 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 Final Player Round Round Player Round Round Golfer 1 70 72 Golfer 11 72 72 Golfer 2 71 72 Golfer 12 72 70 Golfer 3 70 75 Golfer 13 70 73 Golfer 4 72 71 Golfer 14 70 74 Golfer 5 70 69 Golfer 15 68 70 Golfer 6 67 67 Golfer 16 68 65 Golfer 7 71 67 Golfer 17 71 70 Golfer 8 68 73 Golfer 18 70 68 Golfer 9 67 72 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 down? (a) Use a = 0.10 to test fora statistically significantly difference between the ponulation means for first- and fourth-round scores.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
icon
Related questions
icon
Concept explainers
Topic Video
Question

Ive tried to send this question in for the third time now and it still hasn't been answered right. 

You may need to use the appropriate technology to answer this question.
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
Final
Player
Round
Round
Player
Round
Round
Golfer 1
70
72
Golfer 11
72
72
Golfer 2
71
72
Golfer 12
72
70
Golfer 3
70
75
Golfer 13
70
73
Golfer 4
72
71
Golfer 14
70
74
Golfer 5
70
69
Golfer 15
68
70
Golfer 6
67
67
Golfer 16
68
65
Golfer 7
71
67
Golfer 17
71
70
Golfer 8
68
73
Golfer 18
70
68
Golfer 9
67
72
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 down?
(a) Use a = 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 u, = mean score first round - mean score fourth round.)
Transcribed Image Text:You may need to use the appropriate technology to answer this question. 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 Final Player Round Round Player Round Round Golfer 1 70 72 Golfer 11 72 72 Golfer 2 71 72 Golfer 12 72 70 Golfer 3 70 75 Golfer 13 70 73 Golfer 4 72 71 Golfer 14 70 74 Golfer 5 70 69 Golfer 15 68 70 Golfer 6 67 67 Golfer 16 68 65 Golfer 7 71 67 Golfer 17 71 70 Golfer 8 68 73 Golfer 18 70 68 Golfer 9 67 72 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 down? (a) Use a = 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 u, = mean score first round - mean score fourth round.)
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 down?
(a) Use a = 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 u, = mean score first round - mean score fourth round.)
O Ho: H+ 0
H: H = 0
Hạ: Hg> 0
O Ho: Hg>0
O Ho: Hg = 0
H: H #0
o = Pri :°H O
Calculate the value of the test statistic. (Round your answer to three decimal places.)
-1.136 X
Calculate the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject H,. There is sufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.
O Do not Reject H,. There is sufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.
O Do not reject H.. There is insufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.
O Reject H. There is insufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round.
(b) What is the point estimate of the difference between the two population means? (Use mean score first round - mean score fourth round.)
For which round is the population mean score lower?
O The mean of the fourth round scores was lower than the mean of the first round scores.
O The mean of the first round scores was lower than the mean of the fourth round scores.
Transcribed Image Text: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 down? (a) Use a = 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 u, = mean score first round - mean score fourth round.) O Ho: H+ 0 H: H = 0 Hạ: Hg> 0 O Ho: Hg>0 O Ho: Hg = 0 H: H #0 o = Pri :°H O Calculate the value of the test statistic. (Round your answer to three decimal places.) -1.136 X Calculate the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject H,. There is sufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round. O Do not Reject H,. There is sufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round. O Do not reject H.. There is insufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round. O Reject H. There is insufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round. (b) What is the point estimate of the difference between the two population means? (Use mean score first round - mean score fourth round.) For which round is the population mean score lower? O The mean of the fourth round scores was lower than the mean of the first round scores. O The mean of the first round scores was lower than the mean of the fourth round scores.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax