Use the Minitab Display to Test the Indicated Claim $\quad$

question 53

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. $\begin{array}{cccc}&&&\text { Employee }\\&&\mathbf{A}&\mathbf{B}&\mathbf{C}\\&\text { I } & 16,18,19 & 15,17,20 & 14,18,16 \\\text { Machine } &\text { II } & 20,27,29 & 25,28,27 & 29,28,26 \\&\text { III } & 15,18,17 & 16,16,19 & 13,17,16\end{array}$

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

$\begin{array}{lrrr}\text { SOURCE } & D F & S S & M S \\\text { MACHINE } & 2 & 588.74 & 294.37 \\\text { EMPLOYEE } & 2 & 2.07 & 1.04 \\\text { INTERACTION } & 4 & 15.48 & 3.87 \\\text { ERROR } & 18 & 98.67 & 5.48 \\\text { TOTAL } & 26 & 704.96 &\end{array}$ 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) Reject the null hypothesis. There does not appear to be an interaction effect.
• B) Reject the null hypothesis. There appears to be an interaction effect.
• C) Fail to reject the null hypothesis. There does not appear to be an interaction effect.
• D) Fail to reject the null hypothesis. There appears to be an interaction effect.

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Definitions:

GLOBE Studies

A research project aimed at understanding how cultures influence leadership effectiveness, organizational practices, and the expectations of leaders across the world.

Forceful Behaviors

Actions characterized by assertiveness and determination, often aimed at influencing situations or outcomes.

Supportive

Characterizing actions or attitudes that seek to uplift, help, or encourage others, often enhancing morale or performance.

Co-workers

Individuals who share the same work environment and are employed by the same organization, but do not necessarily have the same job responsibilities.