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:

Form Controls

Interactive elements, such as buttons and drop-down lists, used in forms or spreadsheets to collect user input.

Check Box

A graphical user interface element that allows the user to make multiple selections from a number of options.

Option Buttons

Interactive graphical controls in a user interface that allow the user to choose only one option from a predefined set of options.

Cell B2

A specific location in a spreadsheet identified by the column letter 'B' and row number '2', often used to reference or store data.