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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.  Employee ABC I 23,27,2930,27,2518,20,22 Machine  II 25,26,2424,29,2619,16,14 III 28,25,2625,27,2315,11,17\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  ANALYSIS OF VARIANCE ITEMS \text { ANALYSIS OF VARIANCE ITEMS }

 SOURCE  DF  SS  MS  MACHINE 234.6717.33 EMPLOYEE 2504.67252.33 INTERACTION 426.676.67 ERROR 1898.005.44 TOTAL 26664.00\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.


Definitions:

Resting Potential

Resting potential refers to the electric potential difference across the neuronal membrane when the neuron is not actively sending a signal.

Absolute Refractory Period

The period immediately following the firing of a nerve fiber when it cannot be stimulated to fire again, no matter how strong the incoming signal.

Action Potential

A momentary change in electrical potential on the surface of a neuron that occurs when it is stimulated and is capable of transmitting a signal along the neuron.

Millivolts

A unit of electric potential equal to one thousandth of a volt.

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