One engineer wants to test the mean difference of two independent populations bu

Question

One engineer wants to test the mean difference of two independent populations but he/she has no clue of population variances of the two populations, what are the procedures (steps) he/she should follow in order to solve the problem? First he/she should use F test to test the assumption of equal variances, next if he/she finds that sigma^2_1 = sigma^2_2, the engineer should use separate-variance t test otherwise he/she should use pooled-variance t test. Simply use separate-variance t test. Simply use pooled-variance t test. First he/she should use F test to test the assumption of equal variances, next if he/she finds that sigma^2_1 = sigma^2_2, the engineer should use pooled-variance t test otherwise he/she should use separate-variance t test.

Explanation / Answer

last option is correct, because if we want to compare the mean difference of two independent populations, then we will use the t-test for difference of means(independent sample). In this test no population variances are required.

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