GCU Population Variance Assumptions in Hypothesis Testing Questions
Question Description
I’m working on a statistics discussion question and need the explanation and answer to help me learn.
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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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