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?© BrainMass Inc. brainmass.com March 4, 2021, 8:59 pm ad1c9bdddf
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We are given
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
Solution describes the steps for testing the claim that population variaces are equal.