# Let S2X and S2Y be the respective variances of two independent random samples of sizes n and m from N(Î¼X,

## Question:

If the observed values are n = 13, m = 9, 12S2X = 128.41, and 8 s2y = 36.72, show that a 98% confidence interval for the ratio of the two variances, Ïƒ2X/Ïƒ2Y, is [0.41, 10.49], so that [0.64, 3.24] is a 98% confidence interval for ÏƒX/ÏƒY.

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## Probability and Statistical Inference

**ISBN:** 978-0321923271

9th edition

**Authors:** Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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