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We like to test that mean income of town A is higher than that of town...

We like to test that mean income of town A is higher than that of town B with 0.05 alpha. To test, we collect 15 data from each town. Which one is the correct one? Choose all applied.

A. We need to do Two Shapiro tests first and if both conclusions are not "reject H0", then do Wilcoxon rank sum test with medians to compare.
B. We need to do Two Shapiro tests first and if both conclusions are "Do not reject H0", then do pooled t test if population variances of incomes of two towns are equal.
C. We need to do Two Shapiro tests first and if both conclusions are "Do not reject H0", then do separated t test if population variances of incomes of two towns are equal.
D. We need to do Two Shapiro tests first and if both conclusions are not "reject H0", then do Wilcoxon rank sum test with means to compare.

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