The Data Below Represent the Weight Losses for People on Three

question 12

Multiple Choice

The data below represent the weight losses for people on three different exercise programs. $\begin{array}{ccc}\text { Exercise A } & \text { Exercise B } & \text { Exercise } \mathbf{C} \\\hline 2.5 & 5.8 & 4.3 \\8.8 & 4.9 & 6.2 \\7.3 & 1.1 & 5.8 \\9.8 & 7.8 & 8.1 \\5.1 & 1.2 & 7.9\end{array}$

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 $\mu _ { 1 } = \mu _ { 2 } , \mu _ { 2 } = \mu _ { 3 }$ , 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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Definitions:

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A variety of lettuce known for its crispness and resistance to bolting, commonly used in salads.

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