Question: A production engineer was interested in and studied the effects of machine model and operator on the output in a bottling plant. There are three bottling machines used in the bottling plant, and each machine is a different model. Twelve operators were employed in the plant. During the study, four operators were assigned to one of the three machines and worked six-hour shifts each day for five days on that machine. For each operator, the average number of cases produced per hour for each day was recorded as the response variable. Hence, there are 5 days/per operator \(\times 4\) operators/per machine \(\times 3\) machines \(=60\) total observations in this data set. The following plots were created by John, the same statistician from the previous problem. The left(middle) panel was used to explain the main effect of the machines(operators). The right panel was used to explain the interaction effects between machine and operators. Do the plots below provide any useful information regarding the main interest of this study? Explain briefly.

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