Sound engineers studied factors that might affect the output (in decibels) of a rock concert speaker system. The desired level of significance was ? = .05. The results of their ANOVA tests are shown (some information is missing). $$\begin{array} { l r r l r l }
\hline \text { Source of Variation } & { S S } & { d f } & M S & F & P \text {-value } \
\hline \text { Amplifier } & 99.02344 & & 99.02344 & & 0.005718 \
\text { Position } & 93.98698 & & 31.32899 & 3.215807 & 0.051003 \
\text { Interaction } & 10.15365 & 3 & 3.384549 & 0.347412 & 0.791505 \
\text { Error } & 155.875 & 16 & 9.742188 & & \
\text { Total } & 359.0391 & 23 & & & \
\hline
\end{array}$$ The most reasonable conclusion at ? = .05 about the three sources of variation (amplifier, position, and interaction) would be that their effects are:
A)significant, significant, insignificant.
B)insignificant, significant, significant.
C)very significant, almost significant, insignificant.

Question

Sound engineers studied factors that might affect the output (in decibels) of a rock concert speaker system. The desired level of significance was ? = .05. The results of their ANOVA tests are shown (some information is missing). $$\begin{array} { l r r l r l } 
\hline \text { Source of Variation } & { S S } &  { d f } & M S & F & P \text {-value } \
\hline \text { Amplifier } & 99.02344 & & 99.02344 & & 0.005718 \
\text { Position } & 93.98698 & & 31.32899 & 3.215807 & 0.051003 \
\text { Interaction } & 10.15365 & 3 & 3.384549 & 0.347412 & 0.791505 \
\text { Error } & 155.875 & 16 & 9.742188 & & \
\text { Total } & 359.0391 & 23 & & & \
\hline
\end{array}$$ The most reasonable conclusion at ? = .05 about the three sources of variation (amplifier, position, and interaction) would be that their effects are:
A)significant, significant, insignificant.
B)insignificant, significant, significant.
C)very significant, almost significant, insignificant.

Quizplus · Accepted Answer

The amplifier has a p-value of 0.005718, which is less than α = .05, indicating it is very significant. The position has a p-value of 0.051003, which is slightly above α = .05, indicating it is almost significant. The interaction has a p-value of 0.791505, which is much greater than α = .05, indicating it is insignificant.

Sound Engineers Studied Factors That Might Affect the Output (In