Author Question: Use the two-standard-deviations F-interval procedure to find the required confidence interval. ... (Read 81 times)

anjilletteb · **on:** Apr 7, 2020

Use the two-standard-deviations F-interval procedure to find the required confidence interval. Assume that independent samples have been randomly selected from the two populations and that the variable under consideration is normally distributed on both populations.

A researcher is interested in comparing the amount of variation in women's scores on a certain test and the amount of variation in men's scores on the same test. Independent random samples of 11 men and 13 women yielded the following scores.

Men: 72, 60, 52, 87, 66, 74, 95, 50, 81, 70, 72
Women: 70, 78, 62, 96, 75, 68, 41, 74, 80, 47, 73, 94, 65

Construct a 95% confidence interval for the ratio,

where σ₁ is the population standard deviation of the scores for men and σ₂ is the population standard deviation of the scores for women.
(Note:

and

)
◦ 0.48 to 1.62
◦ 0.48 to 1.68
◦

0.62 to 2.16

◦ 0.26 to 3.20

succesfull · **Reply #1 on:** Apr 7, 2020

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