Use the Minitab Display to Test the Indicated Claim Assume That the Number of Items Produced Is Not Affected

question 53

Essay

Use the Minitab display to test the indicated claim. 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. $$\begin{array}{l}\begin{array} { c r c c c } & { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\\text { Machine } & \text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\& \text { II } & 19,26,22 & 35,33,30 & 25,19,23 \\& \text { III } & 21,18,26 & 20,23,24 & 36,37,31\end{array}\\\text { ANALYSIS OF VARIANCE ITEMS }\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\\text { MACHINE } & 2 & 1.19 & .59 \\\text { EMPLOYEE } & 2 & 5.85 & 2.93 \\\text { INTERACTION } & 4 & 710.81 & 177.70 \\\text { ERROR } & 18 & 160.00 & 8.89 \\\text { TOTAL } & 26 & 877.85 &\end{array}\end{array}$$ 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 machine has no effect on the number of items produced.

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Definitions:

Prefrontal Cortex

A region of the brain located at the front of the frontal lobes, associated with complex behaviors, decision making, and moderating social behavior.

Temporal Lobes

Areas of the cortex located along the side of the brain, starting just behind the temples, containing the neurons responsible for the sense of hearing and meaningful speech.

Short-Term Memories

The phase of memory where small amounts of information can be stored for a short period of time.

Serial Position Effect

Tendency of information at the beginning and end of a body of information to be remembered more accurately than information in the middle of the body of information.