Data Set 13-6: The numbers in the cells are means based on samples of 5 in each cell.
$\begin{array}{c}
\begin{array}{ccc}
&{\text { Experiment X }} \
& \mathrm{B}_{1} & \mathrm{~B}_{2} \
\mathrm{~A}_{1} & 5 & 10 \
\mathrm{~A}_{2} & 10 & 5
\end{array}
\quad\begin{array}{ccc}
& {\text { Experiment } \mathrm{Y}} \
& \mathrm{B}_{1} & \mathrm{~B}_{2} \
\mathrm{~A}_{1} & 5 & 10 \
\mathrm{~A}_{2} & 5 & 10
\end{array}\
\quad\begin{array}{rlr}
{\text { Experiment } \mathrm{Z}} \
& \mathrm{B}_{1} & \mathrm{~B}_{2} \
\mathrm{~A}_{1} & 5 & 5 \
\mathrm{~A}_{2} & 5 & 10
\end{array}
\end{array}$

-In Data Set 13-6, the main effect of B could be significant in
A) X and Y
B) X and Z
C) Y and Z

Question

Data Set 13-6: The numbers in the cells are means based on samples of 5 in each cell.
 $\begin{array}{c}
\begin{array}{ccc} 
&{\text { Experiment X }} \
& \mathrm{B}_{1} & \mathrm{~B}_{2} \
\mathrm{~A}_{1} & 5 & 10 \
\mathrm{~A}_{2} & 10 & 5
\end{array}
\quad\begin{array}{ccc} 
& {\text { Experiment } \mathrm{Y}} \
& \mathrm{B}_{1} & \mathrm{~B}_{2} \
\mathrm{~A}_{1} & 5 & 10 \
\mathrm{~A}_{2} & 5 & 10
\end{array}\
\quad\begin{array}{rlr}
{\text { Experiment } \mathrm{Z}} \
& \mathrm{B}_{1} & \mathrm{~B}_{2} \
\mathrm{~A}_{1} & 5 & 5 \
\mathrm{~A}_{2} & 5 & 10
\end{array}
\end{array}$

-In Data Set 13-6, the main effect of B could be significant in
A) X and Y
B) X and Z
C) Y and Z

Quizplus · Accepted Answer

In Experiment Y, the means for B1 and B2 are the same across levels of A, indicating no main effect of B. In Experiment Z, the means for B1 and B2 change from A1 to A2, suggesting a potential interaction rather than a clear main effect of B. Only in Experiment X is there a clear difference in the means for B1 and B2 across both levels of A, indicating a potential main effect of B.

Data Set 13-6: the Numbers in the Cells Are Means