Data Set 11-8: $$\begin{array} { c c c } \text { Group A } & \text { Group B } & \text { Group C } \ \hline 8 & 5 & 1 \ 10 & 10 & 10 \ 12 & 15 & 19 \end{array}$$ -Descriptions for Groups A, B, and C in Data Set 11-8 follow. For which would the ANOVA described in Chapter 11 not be appropriate? A) New Yorkers, Bostonians, Chicagoers 9 political participants B) age 16, age 20, age 24 3 female participants C) freshmen, sophomores, seniors 9 student participants D) all of the other alternatives are correct.

Question

Quizplus · Accepted Answer

ANOVA assumes that the groups being compared have similar variances and are normally distributed. It also assumes that the samples are independent. Choice B, which involves only 3 female participants of different ages, likely violates these assumptions due to the small sample size and the potential for age to introduce systematic differences not accounted for by ANOVA.

Data Set 11-8 Group A Group B Group C 851101010121519\begin{array} { c c c } \text { Group A } & \text { Group B } & \text { Group C } \\\hline 8 & 5 & 1 \\10 & 10 & 10 \\12 & 15 & 19\end{array} Group A 81012​ Group B 51015​ Group C 11019​​

Data Set 11-8 $\begin{array} { c c c } \text { Group A } & \text { Group B } & \text { Group C } \\\hline 8 & 5 & 1 \\10 & 10 & 10 \\12 & 15 & 19\end{array}$