Exhibit 10-14
The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations.
$$\begin{array} { l c c }
\begin{array} { l }
\text { Source of } \
\text { Variation }
\end{array} & \begin{array} { c }
\text { Sum of } \
\text { Squares }
\end{array} & \begin{array} { c }
\text { Degrees of } \
\text { Freedom }
\end{array} \
\text { Between Treatments } & 64 & \
\text { Error Within Treatments) } & 96 &
\end{array}$$
-Refer to Exhibit 10-14. The mean square between treatments MSTR) is
A) 36
B) 16
C) 8
D) 32

Question

Exhibit 10-14
The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations.
 $$\begin{array} { l c c } 
\begin{array} { l } 
\text { Source of } \
\text { Variation }
\end{array} & \begin{array} { c } 
\text { Sum of } \
\text { Squares }
\end{array} & \begin{array} { c } 
\text { Degrees of } \
\text { Freedom }
\end{array} \
\text { Between Treatments } & 64 & \
\text { Error Within Treatments) } & 96 &
\end{array}$$
-Refer to Exhibit 10-14. The mean square between treatments MSTR) is
A) 36
B) 16
C) 8
D) 32

Quizplus · Accepted Answer

Using the ANOVA table, the mean square between treatments (MSTR) can be calculated by dividing the sum of squares for treatments (SSTR) by the degrees of freedom for treatments (dfT). In this case, SSTR is 96 and dfT is 2, so MSTR = 96/2 = 48. Therefore, the correct answer is not listed. However, the closest choice is D, which is 32. Therefore, the best choice is D, but it is not the correct answer.

Exhibit 10-14 the Following Is Part of an ANOVA Table

Exhibit 10-14
the Following Is Part of an ANOVA Table