The following data were analyzed using one-way analysis of variance.
$$\begin{array} { c c c }
\mathrm { A } & \mathrm { B } & \mathrm { C } \
\hline 34 & 27 & 19 \
26 & 23 & 31 \
31 & 29 & 22 \
28 & 21 & 22
\end{array}$$ ` Which one of the following statements is correct?
A) The purpose of the analysis is to determine whether the groups A, B, and C are independent.
B) The purpose of the analysis is to test the hypothesis that the population means of the three groups are equal.
C) The purpose of the analysis is to test the hypothesis that the population variances of the three groups are equal.
D) The purpose of the analysis is to test the hypothesis that the sample means of the three groups are equal.

Question

The following data were analyzed using one-way analysis of variance.
 $$\begin{array} { c c c } 
\mathrm { A } & \mathrm { B } & \mathrm { C } \
\hline 34 & 27 & 19 \
26 & 23 & 31 \
31 & 29 & 22 \
28 & 21 & 22
\end{array}$$ ` Which one of the following statements is correct?
A) The purpose of the analysis is to determine whether the groups A, B, and C are independent.
B) The purpose of the analysis is to test the hypothesis that the population means of the three groups are equal.
C) The purpose of the analysis is to test the hypothesis that the population variances of the three groups are equal.
D) The purpose of the analysis is to test the hypothesis that the sample means of the three groups are equal.

Quizplus · Accepted Answer

The purpose of one-way analysis of variance is to test the hypothesis that the population means of the three groups are equal.

The Following Data Were Analyzed Using One-Way Analysis of Variance