Data Set 11-8: $$\begin{array} { c c c }
\text { Group A } & \text { Group B } & \text { Group C } \
\hline 8 & 5 & 1 \
10 & 10 & 10 \
12 & 15 & 19
\end{array}$$
-Consider the three components of the error variance in Data Set 11-8.
A) They are about equal
B) They are not equal
C) Two are equal and one is different
D) Not enough information is given.

Question

Data Set 11-8: $$\begin{array} { c c c } 
\text { Group A } & \text { Group B } & \text { Group C } \
\hline 8 & 5 & 1 \
10 & 10 & 10 \
12 & 15 & 19
\end{array}$$
-Consider the three components of the error variance in Data Set 11-8.
A) They are about equal
B) They are not equal
C) Two are equal and one is different
D) Not enough information is given.

Quizplus · Accepted Answer

The components of the error variance refer to the variability within each group. By looking at the numbers, Group A has a range of 4 (from 8 to 12), Group B has a range of 10 (from 5 to 15), and Group C has a range of 18 (from 1 to 19). These ranges indicate that the variability within each group is not equal, hence the components of the error variance are not equal.

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