Is there any difference in the variability in golf scores for players on a women's professional golf tour and players on a men's professional golf tour? A sample of 20 tournament scores from events in a tour for women showed a standard deviation of 2.4628 strokes, and a sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2173. Conduct a hypothesis test for equal population variances to determine if there is any statistically significant difference in the variability of golf scores for male and female professional golfers. Use a = 0.10. State the null and alternative hypotheses. 2 H_: 2 Ho H₂01 H: #02 2 2 02 2 022 202 Ho: 1 H₂ 2 1 02 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers. Do not reject Ho. We can conclude that there is a difference in the variability of golf scores for male and female professional golfers. Do not reject H.. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers. Reject Ho. We can conclude that there is a difference in the variability of golf scores for male and female professional golfers.
Is there any difference in the variability in golf scores for players on a women's professional golf tour and players on a men's professional golf tour? A sample of 20 tournament scores from events in a tour for women showed a standard deviation of 2.4628 strokes, and a sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2173. Conduct a hypothesis test for equal population variances to determine if there is any statistically significant difference in the variability of golf scores for male and female professional golfers. Use a = 0.10. State the null and alternative hypotheses. 2 H_: 2 Ho H₂01 H: #02 2 2 02 2 022 202 Ho: 1 H₂ 2 1 02 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers. Do not reject Ho. We can conclude that there is a difference in the variability of golf scores for male and female professional golfers. Do not reject H.. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers. Reject Ho. We can conclude that there is a difference in the variability of golf scores for male and female professional golfers.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:Is there any difference in the variability in golf scores for players on a women's professional golf tour and players on a men's professional golf tour? A sample of 20 tournament scores from events in a tour for women showed a standard deviation of
2.4628 strokes, and a sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2173. Conduct a hypothesis test for equal population variances to determine if there is any statistically significant difference in
the variability of golf scores for male and female professional golfers. Use a = 0.10.
State the null and alternative hypotheses.
2
H_:
2
Ho
H₂01
H:
#02
2
2
02
2
022
202
Ho: 1
H₂
2
1
02
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject Ho. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers.
Do not reject Ho. We can conclude that there is a difference in the variability of golf scores for male and female professional golfers.
Do not reject H.. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers.
Reject Ho. We can conclude that there is a difference in the variability of golf scores for male and female professional golfers.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman