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Use the Minitab Display to Test the Indicated Claim Using a 005 Significance Level, Test the Claim That the Interaction Between

Question 110

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.  Employee  A  B  C  Machine  I 31,34,3229,23,2221,20,24 II 19,26,2235,33,3025,19,23 III 21,18,2620,23,2436,37,31 ANALYSIS OF VARIANCE ITEMS  SOURCE  DF  SS  MS  MACHINE 21.19.59 EMPLOYEE 25.852.93 INTERACTION 4710.81177.70 ERROR 18160.008.89 TOTAL 26877.85\begin{array}{l}\begin{array} { c c c c c } & { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\\text { Machine } & \text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\& \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} Using a 0.05 significance level, test the claim that the interaction between employee and
machine has no effect on the number of items produced.

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H0 : There is no interaction e...

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