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:

Conduct Disorders

Refers to a range of antisocial types of behavior displayed in children and adolescents.

Neurotransmitters

Chemical substances in the brain that transmit signals from one neuron to another, influencing various functions and behaviors.

Dopamine

A neurotransmitter in the brain involved in regulating movement, mood, and reward responses.

Aggressive Children

Youth displaying patterns of hostile or violent behavior towards others, which can stem from various environmental or psychological factors.