Sound engineers studied factors that might affect the output, in decibels, of a rock concert speaker system. The results of their ANOVA tests are shown (some information is missing). $$\begin{array} { l r r r r }
\hline \text { Source of Variation } & { S S } & d f & M S & F \
\hline \text { Amplifier } & 99.02344 & & 99.02344 & \
\text { Position } & 93.98698 & & 31.32899 & 3.215807 \
\text { Interaction } & 10.15365 & 3 & 3.384549 & 0.347412 \
\text { Error } & 155.875 & 16 & 9.742188 & \
& & & & \
\text { Total } & 359.0391 & 23 & & \
\hline
\end{array}$$ The F statistic for amplifier was:
A)9.90.
B)10.16.
C)5.72.
D)4.27.

Question

Sound engineers studied factors that might affect the output, in decibels, of a rock concert speaker system. The results of their ANOVA tests are shown (some information is missing). $$\begin{array} { l r r r r } 
\hline \text { Source of Variation } &  { S S } & d f & M S & F \
\hline \text { Amplifier } & 99.02344 & & 99.02344 & \
\text { Position } & 93.98698 & & 31.32899 & 3.215807 \
\text { Interaction } & 10.15365 & 3 & 3.384549 & 0.347412 \
\text { Error } & 155.875 & 16 & 9.742188 & \
& & & & \
\text { Total } & 359.0391 & 23 & & \
\hline
\end{array}$$ The F statistic for amplifier was:
A)9.90.
B)10.16.
C)5.72.
D)4.27.

Quizplus · Accepted Answer

The F statistic for the amplifier is calculated by dividing the mean square (MS) of the amplifier by the mean square of the error: $ F = \frac{99.02344}{9.742188} \approx 10.16 $.

Sound Engineers Studied Factors That Might Affect the Output, in Decibels