Assume That the Number of Items Produced Is Not Affected

Essay

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 machine has no effect on
the number of items produced. $$\begin{array}{l}\begin{array} { c r c c c } & { \text { Employee } } \\ && \text { A } & \text { B } & \text { C } \\& \text { I } &16,18,19&15,17,20&14,18,16\\\text { Machine } & \text { II } & 20,27,29 & 25,28,27 & 29,28,26 \\& \text { III } & 15,18,17 & 16,16,19 &13,17,16 \\& & & \end{array}\\\\\text { ANALYSIS OF VARIANCE ITEMS }\\\\\begin{array} { l c r r } \text { SOURCE } & \text { DF } & \text { SS } & { \text { MS } } \\\text { MACHINE } & 2 & 588.74 & 294.37 \\\text { EMPLOYEE } & 2 & 2.07 & 1.04 \\\text { INTERACTION } & 4 & 15.48 & 3.87 \\\text { ERROR } & 18 & 98.67 & 5.48 \\\text { TOTAL } & 26 & 704.96 &\end{array}\end{array}$$ 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.