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:

Big Five Personality Traits

A model in psychology that describes human personality through five broad dimensions: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Maturation and Aging

The natural process of growth and development over time, leading to physical, cognitive, and emotional changes, as well as the eventual decline in bodily functions and capabilities.

Secondary Traits

Personality characteristics that are less consistent and more situational, as opposed to primary traits which are more enduring and consistent.

Changeable Aspects

Features or elements of a situation, system, or object that can be altered or modified.