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

question 95

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. $$\begin{array}{l}\begin{array} { c r c c c } & { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\\text { Machine } & \text { I } & 16,18,19 & 15,17,20 & 14,18,16 \\& \text { III } & 20,27,29 & 25,28,27 & 29,28,26 \\& \text { II } & 18,17 & 16,16,19 & 13,17,16\end{array}\\\text { ANALYSIS OF VARIANCE ITEMS }\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\\text { MACHINE } & 2 & 588.74 & 294.37 \\\text { EMPLOYEE } & 2 & 2.07 & 1.04 \\\text { INTERACTION } & 4 & 15.48 & 3.87 \\\text { ERROR } & 18 & 98.67 & 5.48 \\\text { TOTAL } & 26 & 704.96 &\end{array}\end{array}$$ 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. State your conclusion about the null hypothesis and the claim.

• A) Fail to reject the null hypothesis. There appears to be an interaction effect.
• B) Fail to reject the null hypothesis. There does not appear to be an interaction effect.
• C) Reject the null hypothesis. There appears to be an interaction effect.
• D) Reject the null hypothesis. There does not appear to be an interaction effect.

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Definitions:

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