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:

Auction Without Reserve

An auction in which there is no minimum bid required to win the item being auctioned, meaning the highest bidder will win regardless of the bid amount.

Highest Bid

The largest amount of money offered for a good or property in an auction setting.

Uniform Electronic Transactions Act

Legislation that provides legal validity to electronic contracts and signatures, enabling electronic commerce.

Reasonable Means

Utilizing practical and rational methods or measures when performing tasks or solving problems, aiming for effectiveness with efficiency.