A Manager Records the Production Output of Three Employees Who

question 1

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

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

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