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:

The Body

is the physical structure, including all its organs and tissues, of a living organism, especially that of a human or animal.

Uterine Tubes

The uterine tubes, also known as fallopian tubes, are the ducts through which eggs travel from the ovaries to the uterus.

Infundibulum

A funnel-shaped structure, such as the stalk connecting the pituitary gland to the hypothalamus, or the distal end of the fallopian tubes.

Ampulla

An enlargement of a duct or canal that can store or slow the flow of fluids, found in various anatomical locations.