Suppose You Are to Test for Equality of Four Different $$H _ { 0 } : \mu _ { A } = \mu _ { B } = \mu _ { C } = \mu _ { D }$$

Essay

Suppose you are to test for equality of four different population means, with $$H _ { 0 } : \mu _ { A } = \mu _ { B } = \mu _ { C } = \mu _ { D }$$ Write the hypotheses for the paired tests. Use methods of
probability to explain why the process of ANOVA has a higher degree of confidence than
testing each of the pairs separately.