Use the Minitab Display to Test the Indicated Claim $\quad$

question 72

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. $\begin{array}{cccc}&&&\text { Employee }\\&&\mathbf{A}&\mathbf{B}&\mathbf{C}\\&\text { I } & 23,27,29 & 30,27,25 & 18,20,22 \\\text { Machine } &\text { II } & 25,26,24 & 24,29,26 & 19,16,14 \\&\text { III } & 28,25,26 & 25,27,23 & 15,11,17\end{array}$

$\quad$$\quad$$\text { ANALYSIS OF VARIANCE ITEMS }$

$\begin{array}{lrrr}\text { SOURCE } & \text { DF } & {\text { SS }} &{\text { MS }} \\\text { MACHINE } & 2 & 34.67 & 17.33 \\\text { EMPLOYEE } & 2 & 504.67 & 252.33 \\\text { INTERACTION } & 4 & 26.67 & 6.67 \\\text { ERROR } & 18 & 98.00 & 5.44 \\\text { TOTAL } & 26 & 664.00 &\end{array}$ 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 machine has no
effect on the number of items produced.

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Definitions:

Upsloping

Describes a line or curve on a graph that moves upward as it progresses from left to right, often used to depict positive relationships between variables.

Supply Curve

A graphical representation showing the relationship between the price of a good and the quantity of that good that suppliers are willing to offer for sale, holding all else constant.

Highly Inelastic

Describes a situation where demand or supply shows little to no response to changes in price, often due to the lack of close substitutes.

Highly Elastic

Describes a market situation where demand or supply of a good or service is very sensitive to changes in price.