Use the Minitab Display to Test the Indicated Claim Assume That the Number of Items Produced Is Not Affected

question 1

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

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Definitions:

Long Position

An investment strategy where an investor buys securities with the expectation that they will increase in value.

Commodity Futures

Financial contracts obligating the buyer to purchase an asset, or the seller to sell an asset, such as a physical commodity or a financial instrument, at a predetermined future date and price.

Price

The amount of money or its equivalent paid or charged for something, often determined by supply and demand.

Standardization

The process of establishing common standards or norms to ensure that products, services, or processes are consistent and compatible.