Assume That the Number of Items Produced Is Not Affected

question 173

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. $\begin{array}{cccc}&&&\text { Employee }\\&&\mathbf{A}&\mathbf{B}&\mathbf{C}\\&\text { I } & 16,18,19 & 15,17,20 & 14,18,16 \\\text { Machine } &\text { II } & 20,27,29 & 25,28,27 & 29,28,26 \\&\text { III } & 15,18,17 & 16,16,19 & 13,17,16\end{array}$

$\quad$$\quad$$\text { ANALYSIS OF VARIANCE ITEMS }$

$\begin{array}{lcrr}\text { SOURCE } & \text { DF } & \text { SS } &{\text { MS }} \\\text { MACHINE } & 2 & 588.74 & 294.37 \\\text { EMPLOYEE } & 2 & 2.07 & 1.04 \\\text { INTERACTION } & 4 & 15.48 & 3.87 \\\text { ERROR } & 18 & 98.67 & 5.48 \\\text { TOTAL } & 26 & 704.96 &\end{array}$ 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.

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