Use the Minitab Display to Test the Indicated Claim

question 56

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. $\begin{array} { r r r c c } &&& { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\& \text { I } & 16,18,19 & 15,17,20 & 14,18,16 \\\text { Machine } & \text { II } & 20,27,29 & 25,28,27 & 29,28,26 \\& \text { III } & 15,18,17 & 16,16,19 & 13,17,16\end{array}$

$\begin{array}{l}\text { Analysis of Variance Items }\\\begin{array} { l r r r } \text { SOURCE } & D F & S S & M S \\\text { MACHINE } & 2 & 588.74 & 294.37 \\\text { EMPLOYEE } & 2 & 2.07 & 1.04 \\\text { INTERACTION } & 4 & 15.48 & 3.87 \\\text { ERROR } & 18 & 98.67 & 5.48 \\\text { TOTAL } & 26 & 704.96 &\end{array}\end{array}$


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) \(F = 0.2687\)
• C) \(F = 5.2692\)
• D) \(F = 53.7172\)

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