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

question 1

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

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Definitions:

Erythrocytes

Red blood cells that are responsible for carrying oxygen from the lungs to the body's tissues and returning carbon dioxide back to the lungs.

Smooth Muscle

Involuntary, non-striated muscle found in the walls of internal organs such as the intestine and uterus, controlling movement within these organs.

Homeostatic Actions

These are the processes through which an organism maintains stability in its internal environment despite external changes.

Anesthetic

Substances that cause loss of sensation or consciousness, used medically during surgeries.