A Firm Is Concerned with Variability in Hourly Output at Several

Multiple Choice

A firm is concerned with variability in hourly output at several factories and shifts. Here are the results of an ANOVA using output per hour as the dependent variable (some information is missing) . $$\begin{array} { | l | c | c | c | c | c | } \hline \text { Source } & \text { Sum of Squares } & d f & \text { Mean Square } & \text { FRatio } & P \text {-value } \\\hline \text { Factory } & 19012.5 & 1 & 19012.5 & 26.427 & 0.000 \\\hline \text { Shift } & 258.333 & 2 & 129.167 & 0.180 & 0.838 \\\hline \text { Factory* Shift } & 80908.333 & 2 & 40454.167 & 56.230 & \\\hline \text { Error } & 8633.333 & 12 & 719.444 & & \\\hline \text { Total } & 108812.5 & 17 & 6400.735 & & \\\hline\end{array}$$ The p-value for the interaction effect is going to be:

A) very small (near 0) .
B) very large (near 1) .
C) impossible to know-could be either large or small.