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.

---

Definitions:

Median

The middle value in a set of data, arranged in ascending or descending order, or the average of the two middle values if there is an even number of observations.

Even Number

An integer that is divisible by 2 without leaving a remainder.

Observations

Data points collected during a study or experiment, representing individual instances or occurrences of the variables being studied.

Variance

A measure of the dispersion or spread of a set of data points around their mean value; it quantifies how much the data points differ from the mean.