Provide an Appropriate Response $\mathrm { H } _ { 0 } : \mu _ { \mathrm { A } } = \mu _ { \mathrm { B } } = \mu _ { \mathrm { C } } = \mu _ { \mathrm { D } }$

Essay

Provide an appropriate response.
-Suppose you are to test for equality of four different means, with $\mathrm { H } _ { 0 } : \mu _ { \mathrm { A } } = \mu _ { \mathrm { B } } = \mu _ { \mathrm { C } } = \mu _ { \mathrm { D } }$ . 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.