A Manager Records the Production Output of Three Employees Who

question 24

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. $$\begin{array}{l}\begin{array} { r r c c c } & &&{ \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\& \text { I } & 16,18,19 & 15,17,20 & 14,18,16 \\\text { Machine } & \text { II } & 20,27,29 & 25,28,27 & 29,28,26 \\& \text { III } & 15,18,17 & 16,16,19 & 13,17,16\end{array}\\\\\text { ANALYSIS OF VARIANCE ITEMS }\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } &{ \text { SS } } &{ \text { MS } } \\\text { MACHINE } & 2 & 588.74 & 294.37 \\\text { EMPLOYEE } & 2 & 2.07 & 1.04 \\\text { INTERACTION } & 4 & 15.48 & 3.87 \\\text { ERROR } & 18 & 98.67 & 5.48 \\\text { TOTAL } & 26 & 704.96 &\end{array}\end{array}$$ 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 choice of employee has no effect on the number of items produced.

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Definitions:

Federal Treasury

The department of the U.S. government responsible for managing government revenue, issuing currency, and overseeing the nation's financial operations, including the Federal Reserve and national debt.

Manufactured Goods

Items produced from raw materials through the use of labor, machinery, and technology in industrial settings, intended for use or sale.

Waving the Bloody Shirt

A phrase used to describe the use of the memory or image of war and its casualties by politicians to criticize opponents or rally support, originally associated with post-Civil War U.S. politics.

Civil War Animosities

Hostility and resentment that lingered between the Northern and Southern United States after the Civil War, affecting the country's social and political landscape.