Suppose that for two populations that are approximately normally distributed with means M1 and M2 and standard deviations S1 and S2, you wish to test the hypothesis H0: M1 = M2 versus H0: M1! = M2. Discuss how your testing procedure will differ if you assume that the population variances are: 1) known and equal; 2) known but unequal; 3) unknown and equal; 4) unknown but unequal.

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