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

question 55

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. $$\begin{array}{l}\begin{array} { c r c c c } & && { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\\text { Machine } & \text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\& \text { III } & 19,26,22 & 35,33,30 & 25,19,23 \\& \text { III, }&18,26 & 20,23,24 & 36,37,31\end{array}\\\\\text { ANALYSIS OF VARIANCE ITEMS }\\\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\\text { MACHINE } & 2 & 1.19 & .59 \\\text { EMPLOYEE } & 2 & 5.85 & 2.93 \\\text { INTERACTION } & 4 & 710.81 & 177.70 \\\text { ERROR } & 18 & 160.00 & 8.89 \\\text { TOTAL } & 26 & 877.85 &\end{array}\end{array}$$ 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 machine has no
effect on the number of items produced.

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