The Data Below Represent the Weight Losses for People on Three

Essay

The data below represent the weight losses for people on three different exercise programs. $\begin{array}{ccc}\text { Exercise A }&\text { Exercise B }&\text { Exercise C }\\\hline 2.5 & 5.8 & 4.3 \\8.8 & 4.9 & 6.2 \\7.3 & 1.1 & 5.8 \\9.8 & 7.8 & 8.1 \\5.1 & 1.2 & 7.9\end{array}$ If we want to test the claim that the three size categories have the same means, why don't we
use three separate hypothesis tests for $$\mu _ { 1 } = \mu _ { 2 } , \mu _ { 2 } = \mu _ { 3 } , \text { and } \mu _ { 1 } = \mu _ { 3 } ?$$