Use the Minitab Display to Test the Indicated Claim

question 64

Essay

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. $\begin{array}{crccc} &&& {\text { Employee }} \\& & \text { A } & \text { B } & \text { C } \\\text { Machine } & \text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\& \text { II } & 19,26,22 & 35,33,30 & 25,19,23 \\& \text { III } & 21,18,26 & 20,23,24 & 36,37,31\end{array}$

$\begin{array}{l}\text { ANALYSIS OF VARIANCE ITEMS }\\\begin{array}{lrrr}\text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\\text { MACHINE } & 2 & 1.19 & .59 \\\text { EMPLOYEE } & 2 & 5.85 & 2.93 \\\text { INTERACTION } & 4 & 710.81 & 177.70 \\\text { ERROR } & 18 & 160.00 & 8.89 \\\text { TOTAL } & 26 & 877.85 &\end{array}\end{array}$ Assume that the number of items produced is not affected by an interaction between
employee and machine. Using a 0.05 significance level, test the claim that the choice of
employee has no effect on the number of items produced.

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Definitions:

Normal Distribution

A type of continuous probability distribution for a real-valued random variable, symmetrically centered around its mean, implying most occurrences take place near the average value.

Career Stage

The phase in an individual's work life, typically categorized into stages such as entry, growth, maturity, and decline, reflecting changing roles and responsibilities.

Exploration

Is the first traditional career stage and involves identifying interests and opportunities.

Opportunities

Chances or prospects available for growth, advancement, or success in a specific area or field.