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

question 9

Multiple Choice

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. $$\begin{array}{l}\begin{array} { c r c c c } & { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\\text { Machine } & \text { I } & 16,18,19 & 15,17,20 & 14,18,16 \\& \text { III } & 20,27,29 & 25,28,27 & 29,28,26 \\& 15,17 & 16,16,19 & 13,17,16\end{array}\\\text { ANALYSIS OF VARIANCE ITEMS }\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\\text { MACHINE } & 2 & 588.74 & 294.37 \\\text { EMPLOYEE } & 2 & 2.07 & 1.04 \\\text { INTERACTION } & 4 & 15.48 & 3.87 \\\text { ERROR } & 18 & 98.67 & 5.48 \\\text { TOTAL } & 26 & 704.96 &\end{array}\end{array}$$ 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. What is
The value of the test statistic, F?

• A) F = 0.1898
• B) F = 5.2692
• C) F = 0.2687
• D) F = 53.7172

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Definitions:

Factory Overhead

Factory overhead refers to the indirect costs associated with manufacturing, such as utilities, maintenance, and salary of supervisory staff.

Factory Overhead Account

Records all the indirect costs associated with the production process, excluding direct materials and direct labor.

Applied Overhead

The allocation of estimated overhead costs to specific production activities or jobs based on a predetermined rate or method.

Incurred

Refers to costs that have been realized or expended in association with a specific activity or period.