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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

H_a: σ₁² > σ₂²

2. H₀: σ₁² = σ₂²

H_a: σ₁² ≠ σ₂²

3. H₀: σ₁² > σ₂²

H_a: σ₁² ≤ σ₂²

4. H₀: σ₁² ≠ σ₂²

H_a: σ₁² = σ₂²

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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