The Data Below Represent the Weight Losses for People on Three

question 42

Multiple Choice

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= $\mu$ ₂, $\mu$ = $\mu$ ₃ , and $\mu$ ₁= $\mu$ ₃ ?

• A) Actually, we do want to use three separate hypothesis tests.
• B) The risk of type I error increases and becomes too high.
• C) The risk of type II error increases and becomes too high.
• D) A hypothesis test for comparing two means does not exist.

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