Use the Minitab Display to Test the Indicated Claim Assume That the Number of Items Produced Is Not Affected

question 156

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. $$\begin{array}{l}\begin{array} { c c c c c } & { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\\text { Machine } & \text { I } & 23,27,29 & 30,27,25 & 18,20,22 \\& \text { II } & 25,26,24 & 24,29,26 & 19,16,14 \\& \text { III } & 28,25,26 & 25,27,23 & 15,11,17\end{array}\\\\\text { ANALYSIS OF VARIANCE ITEMS }\\\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } & { \text { SS } } & { \text { MS } } \\\text { MACHINE } & 2 & 34.67 & 17.33 \\\text { EMPLOYEE } & 2 & 504.67 & 252.33 \\\text { INTERACTION } & 4 & 26.67 & 6.67 \\\text { ERROR } & 18 & 98.00 & 5.44 \\\text { TOTAL } & 26 & 664.00 &\end{array}\end{array}$$ 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:

Blacks Out

Losing consciousness or memory for a period of time, often due to excessive alcohol consumption or medical conditions.

Drinks Alone

The act of consuming alcoholic beverages in isolation, which can sometimes indicate underlying issues such as depression or alcohol dependency.

Mortality Rate

The measure of the number of deaths in a particular population, scaled to the size of that population, per unit of time.

Longevity

The length or duration of a person's life, particularly in relation to good health and lifespan extension practices.