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A Manager Records the Production Output of Three Employees Who

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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.  Employee  A  B  C  I 31,34,3229,23,2221,20,24 Machine  II 19,26,2235,33,3025,19,23 III 21,18,2620,23,2436,37,31 ANALYSIS OF VARIANCE ITEMS  SOURCE  DF  SS  MS  MACHINE 21.19.59 EMPLOYEE 25.852.93 INTERACTION 4710.81177.70 ERROR 18160.008.89 TOTAL 26877.85\begin{array}{l}\begin{array} { r r c c c } &&& { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\& \text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\\text { Machine } & \text { II } & 19,26,22 & 35,33,30 & 25,19,23 \\& \text { III } & 21,18,26 & 20,23,24 & 36,37,31\end{array}\\\\\text { ANALYSIS OF VARIANCE ITEMS }\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } & { \text { SS } } & \text { MS } \\\text { MACHINE } & 2 & 1.19 & .59 \\\text { EMPLOYEE } & 2 & 5.85 & 2.93 \\\text { INTERACTION } & 4 & 710.81 & 177.70 \\\text { ERROR } & 18 & 160.00 & 8.89 \\\text { TOTAL } & 26 & 877.85 &\end{array}\end{array} Assume that the number of items produced is not affected by an interaction between employee and machine. Using a 0.05 significance level, test the claim that the choice of employee has no effect on the number of items produced.


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