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
$\begin{array} { c c c } \text { Exercise A } & \text { Exercise B } & \text { Exercise C } \\\hline 2.5 & 5.8 & 4.3 \\8.8 & 4.9 & 6.2 \\7.3 & 1.1 & 5.8 \\9.8 & 7.8 & 8.1 \\5.1 & 1.2 & 7.9\end{array}$
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= $\mu$ $\mu$ ₂= $\mu$ ₃ , and $\mu$ ₁ = $\mu$ ₃