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Use the Minitab Display to Test the Indicated Claim \quad

question 166

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.  Employee ABC I 16,18,1915,17,2014,18,16 Machine  II 20,27,2925,28,2729,28,26 III 15,18,1716,16,1913,17,16\begin{array}{cccc}&&&\text { Employee }\\&&\mathbf{A}&\mathbf{B}&\mathbf{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}

\quad \quad  ANALYSIS OF VARIANCE ITEMS \text { ANALYSIS OF VARIANCE ITEMS }

 SOURCE DFSSMS MACHINE 2588.74294.37 EMPLOYEE 22.071.04 INTERACTION 415.483.87 ERROR 1898.675.48 TOTAL 26704.96\begin{array}{lrrr}\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} 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?


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