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

question 87

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 machine has no
effect on the number of items produced.

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Definitions:

Reasonable Basis

A legally justified reason for taking a particular action, often used in tax and legal contexts to demonstrate that decisions were made with adequate grounds.

Generalities

Broad statements or concepts that lack specific detail or focus on commonalities across various instances.

Exaggerations

Statements that stretch the truth or facts beyond their actual accuracy.

Cease-and-Desist Order

A legal order issued by a government agency or court directing a person or entity to stop an alleged illegal activity.