A Manager Records the Production Output of Three Employees Who

question 50

Essay

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

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Definitions:

Obsessions

Persistent, intrusive, and unwanted thoughts that cause distress or anxiety.

Depression

A common mental disorder characterized by persistent sadness and a lack of interest or pleasure in previously rewarding or enjoyable activities.

Panic Attacks

Sudden episodes of intense fear or acute discomfort, accompanied by physical and/or emotional symptoms such as rapid heartbeat, sweating, or feelings of dread.

Generalized Anxiety Disorder

A psychological disorder characterized by excessive, uncontrollable, and often irrational worry about everyday things that is disproportionate to the actual source of worry.