MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 2.4683 strokes, and a sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2117. 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
α = 0.10.
A. State the null and alternative hypotheses.
1.H0: σ12 ≤ σ22
Ha: σ12 > σ22
2. H0: σ12 = σ22
Ha: σ12 ≠ σ22
3. H0: σ12 > σ22
Ha: σ12 ≤ σ22
4. H0: σ12 ≠ σ22
Ha: σ12 = σ22
B.
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 =
C. State your conclusion.
1. Do not reject H0. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers.
2. Reject H0. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers.
3. Do not reject H0. We can conclude that there is a difference in the variability of golf scores for male and female professional golfers.
4. Reject H0. We can conclude that there is a difference in the variability of golf scores for male and female professional golfers.
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