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Exercise 11-26 Algo Consider the following measures based on independently drawn samples from normally distributed populations: (You may find it useful to reference the appropriate table: chi-square table or F table) Sample 1: -276, and -51 Sample 2: s2 164, and n2 26 a. Construct the 90% interval estimate for the ratio of the population variances. Round P value and final answers to 2 decimal places.) Confidence interval to b. Using the confidence interval from Part (a), test if the ratio of the population variances differs from 1 at the 10% significance level. The 90% confidence interval contains the value 1. Thus, we cannot conclude that the population variances differ at the 10% significance level.

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Answer #1

a)

51 26 50 25 degree of freedom of numeratorv1 - degree of freedom of denominator v2 51 276.0000 52 164.0000 1.6829 for 90 % CI and given df critical value of F v1,v2) 1.842 hence 90 % CI for proprotion of ratio of variance 0.9136 3.1000

from above 90% confidence interval for ratio of population variance =0.91 to 3.10

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