The Data Below Represent the Weight Losses for People on Three

question 27

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 $\mu _ { 1 } = \mu _ { 2 } , \mu _ { 2 } = \mu _ { 3 } , \text { and } \mu _ { 1 } = \mu _ { 3 }$ ?

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

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Definitions:

Early Intervention Programs

Initiatives aimed at early detection and response to individual or population-specific vulnerabilities to prevent or mitigate developmental delays or disorders.

Return On Investment

A performance measure used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments.

High Risk Programs

Initiatives or efforts aimed at individuals or groups considered to be at significant risk of developing health, social, or behavioral problems.

SES

Socioeconomic status, a measure of an individual's or family's economic and social position in relation to others, based on income, education, and occupation.