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The Data Below Represent the Weight Losses for People on Three

question 40

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The data below represent the weight losses for people on three diets.  Diet A  Diet B  Diet C 1.753.84.88.84.96.27.31.15.89.87.88.15.11.26.9\begin{array}{lcc}\text { Diet A } & \text { Diet B } & \text { Diet C } \\\hline 1.75 & 3.8 & 4.8 \\8.8 & 4.9 & 6.2 \\7.3 & 1.1 & 5.8 \\9.8 & 7.8 & 8.1 \\5.1 & 1.2 & 6.9\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 μ1=μ2,μ2=μ3\mu _ { 1 } = \mu _ { 2 } , \mu _ { 2 } = \mu _ { 3 } , and μ1=μ3\mu _ { 1 } = \mu _ { 3 } ?


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