A Manager Records the Production Output of Three Employees Who

question 55

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.

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Definitions:

Bilateral

Involving or relating to two sides; affecting or pertaining to both sides of something.

Pressure Changes

Variations in the force exerted by a fluid or gas on its surroundings, which can affect weather, physical health, and mechanical operations.

Auditory System

The sensory system that includes the ears and the brain structures that process sound.

Sound

Vibrations that travel through the air or another medium and can be heard when they reach a person's or animal's ear.