Comparison of Means Focuses on the Difference Between Two Population

Essay

Comparison of means focuses on the difference between two population or treatment means, μ₁ − μ₂. When testing the hypothesis, H₀ : μ₁ − μ₂ = 0, there are three possible alternative hypotheses.
a) Using correct statistical notation, list these three alternative hypotheses.
b) For each alternative hypothesis in part (a), give an example of a situation from your own experience or your reading where one might use that alternative hypothesis. Be sure to clearly specify a context, define your variables, and state the null and alternative hypothesis.