Use the Minitab Display to Test the Indicated Claim

question 180

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


$\begin{array}{lcrr}{\text { Analysis of variance Items }} \\\text { SOURCE } & D F & {\text { SS }} & {M S} \\\text { MACHINE } & 2 & 588.74 & 294.37 \\\text { EMPLOYEE } & 2 & 2.07 & 1.04 \\\text { INTERACTION } & 4 & 15.48 & 3.87 \\\text { ERROR } & 18 & 98.67 & 5.48 \\\text { TOTAL } & 26 & 704.96 &\end{array}$
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:

In Situ Conservation

The practice of conserving biodiversity in its natural habitat or original location, focusing on protecting the ecosystems and natural processes.

Biodiversity Hotspot

A region that is both a significant reservoir of biodiversity and is threatened with destruction.

Biodiversity Hotspot

A biogeographic region with a significant reservoir of biodiversity that is under threat from humans.

In Situ Conservation

The preservation of species within their natural habitats as a conservation strategy, in contrast to ex-situ efforts like zoos or seed banks.