Use the Minitab Display to Test the Indicated Claim $\quad$

question 43

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. $\begin{array}{cccc}&&&\text { Employee }\\&&\mathbf{A}&\mathbf{B}&\mathbf{C}\\&\text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\\text { Machine } &\text { II } & 19,26,22 & 35,33,30 & 25,19,23 \\&\text { III } & 21,18,26 & 20,23,24 & 36,37,31\end{array}$

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

$\begin{array}{lrrr}\text { SOURCE } & \text { DF } &{\text { SS }} & \text { MS } \\\text { MACHINE } & 2 & 1.19 & .59 \\\text { EMPLOYEE } & 2 & 5.85 & 2.93 \\\text { INTERACTION } & 4 & 710.81 & 177.70 \\\text { ERROR } & 18 & 160.00 & 8.89 \\\text { TOTAL } & 26 & 877.85 &\end{array}$ 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:

Minor

A person under the age of majority, legally considered incapable of making certain decisions and contracts on their own behalf.

Ratify

To formally approve or confirm an agreement or treaty, making it officially valid.

Enforceable

Capable of being imposed or upheld by legal means or action.

Statutory Law

Laws enacted by a legislative body, such as Congress or a state legislature.