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 2.4687 strokes, and sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2121. 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. 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

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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 showeda standard deviation of 2.4687 strokes, and a
sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2121. 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.
O Ho:
H: 0,2 =
o Ho: o,
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 can conclude that there is a difference in the variability of golf scores for male and female professional golfers.
O Reject Ho. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers.
O Do not reject Ho: We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers.
O Do not reject Ho. We can conclude that there is a difference in the variability of golf scores for male and female professional golfers.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. 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 showeda standard deviation of 2.4687 strokes, and a sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2121. 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. O Ho: H: 0,2 = o Ho: o, 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 can conclude that there is a difference in the variability of golf scores for male and female professional golfers. O Reject Ho. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers. O Do not reject Ho: We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers. O Do not reject Ho. We can conclude that there is a difference in the variability of golf scores for male and female professional golfers.
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