alculate the value of the test statistic. (Round your answer to three decimal place Calculate the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. O Reject Ho. 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 Do not Reject Ho. 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 Ho. 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 Ho. 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. 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. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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 =
State your conclusion.
Reject Ho. 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.
Do not Reject Ho. 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.
Do not reject Ho. 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.
Reject Ho. 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.
(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?
The mean of the fourth round scores was lower than the mean of the first round scores.
The mean of the first und scores was lower than the mean of the fourth round scores.
(c) What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.)
Could this confidence interval have been used to test the hypothesis in part (a)? Explain.
Yes. One could check to see if the 90% confidence interval includes a difference of 1. If the interval contains 1, the difference is not statistically significant.
Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval contains 0, the difference is not statistically significant.
Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval does not contain 0, the difference is not statistically significant.
Yes. One co check to see the 90% confidence interval includes a difference of 1. If the interval does not contain 1, the difference is not statistically significant.
No. One can not use a confidence interval to test hypothesis in part (a) because hypothesis tests and confidence intervals are two different things.
Transcribed Image Text: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 = State your conclusion. Reject Ho. 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. Do not Reject Ho. 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. Do not reject Ho. 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. Reject Ho. 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. (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? The mean of the fourth round scores was lower than the mean of the first round scores. The mean of the first und scores was lower than the mean of the fourth round scores. (c) What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.) Could this confidence interval have been used to test the hypothesis in part (a)? Explain. Yes. One could check to see if the 90% confidence interval includes a difference of 1. If the interval contains 1, the difference is not statistically significant. Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval contains 0, the difference is not statistically significant. Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval does not contain 0, the difference is not statistically significant. Yes. One co check to see the 90% confidence interval includes a difference of 1. If the interval does not contain 1, the difference is not statistically significant. No. One can not use a confidence interval to test hypothesis in part (a) because hypothesis tests and confidence intervals are two different things.
Scores in the first and fourth (final) rounds for a sample of 20 goiters who competea in goir tournaments are shown in the following table.
Player
Golfer 1
Golfer 2
Golfer 3
Golfer 4
Golfer 5
Golfer 6
Golfer 7
Golfer 8
Golfer 9
Golfer 10
Ho: Md > O
Ha: Moso
d
First
Round
O Ho: H0
Ha: Md
70
= 0
71
70
72
70
67
71
68
67
70
Final
Round
72
72
73
71
69
67
67
72
71
69
Player
Golfer 11
Golfer 12
Golfer 13
Golfer 14
Golfer 15
Golfer 16
Golfer 17
Golfer 18
Golfer 19
Golfer 20
First
Round
72
72
70
70
68
68
71
70
69
67
Final
Round
72
70
73
77
70
65
70
68
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?
68
(a) Use α = 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 μd = mean score first round mean score fourth round.)
= 0
Ho: Md
Ha: Md ≤0
Ho: Md ≤0
На: ма
Ho: μd = 0
> 0
Ha: Md 0
71
Transcribed Image Text:Scores in the first and fourth (final) rounds for a sample of 20 goiters who competea in goir tournaments are shown in the following table. Player Golfer 1 Golfer 2 Golfer 3 Golfer 4 Golfer 5 Golfer 6 Golfer 7 Golfer 8 Golfer 9 Golfer 10 Ho: Md > O Ha: Moso d First Round O Ho: H0 Ha: Md 70 = 0 71 70 72 70 67 71 68 67 70 Final Round 72 72 73 71 69 67 67 72 71 69 Player Golfer 11 Golfer 12 Golfer 13 Golfer 14 Golfer 15 Golfer 16 Golfer 17 Golfer 18 Golfer 19 Golfer 20 First Round 72 72 70 70 68 68 71 70 69 67 Final Round 72 70 73 77 70 65 70 68 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? 68 (a) Use α = 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 μd = mean score first round mean score fourth round.) = 0 Ho: Md Ha: Md ≤0 Ho: Md ≤0 На: ма Ho: μd = 0 > 0 Ha: Md 0 71
Expert Solution
steps

Step by step

Solved in 6 steps with 25 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman