# Hypothesis testing for variances: F test

For two samples from what are assumed to be normally distributed populations, the sample size and standard deviations are n1 = 10, s1 = 23.5, n2 =9 and s2=10.4. At the 0.10 level of significance, test the null hypothesis that the population variances are equal. Would your conclusion be different if the test had been conducted at the 0.05 level? At the 0.02 level?

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Solution:

We are given

n1=10

s1=23.5

n2=9

s2=10.4

We have to check if there is any difference in variances

Ho: two variances are same

H1: two variances are different

Level of significance = 0.10

It's a two tailed test

Let us calculate test statistics F

For significance level 0.10

We ...

#### Solution Summary

Solution describes the steps for testing the claim that population variaces are equal.