A Manager Records the Production Output of Three Employees Who

Essay

A manager records the production output of three employees who each work on three different machines for three different days. The sample results are given below and the Minitab results follow. $$\begin{array}{l}\begin{array} { r r r c c } &&&{ \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\& \text { I } & 23,27,29 & 30,27,25 & 18,20,22 \\\text { Machine } & \text { II } & 25,26,24 & 24,29,26 & 19,16,14 \\& \text { III } & 28,25,26 & 25,27,23 & 15,11,17\end{array}\\\\\text { ANALYSIS OF VARIANCE ITEMS }\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } & { \text { SS } } & { \text { MS } } \\\text { MACHINE } & 2 & 34.67 & 17.33 \\\text { EMPLOYEE } & 2 & 504.67 & 252.33 \\\text { INTERACTION } & 4 & 26.67 & 6.67 \\\text { ERROR } & 18 & 98.00 & 5.44 \\\text { TOTAL } & 26 & 664.00 &\end{array}\end{array}$$ Using a 0.05 significance level, test the claim that the interaction between employee and machine has no effect on the number of items produced.