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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 44

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  A  B  C  Machine  I 16,18,1915,17,2014,18,16 III 20,27,2925,28,2729,28,26 II 18,1716,16,1913,17,16 ANALYSIS OF VARIANCE ITEMS  SOURCE  DF  SS  MS  MACHINE 2588.74294.37 EMPLOYEE 22.071.04 INTERACTION 415.483.87 ERROR 1898.675.48 TOTAL 26704.96\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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