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

question 166

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. $\begin{array}{cccc}&&&\text { Employee }\\&&\mathbf{A}&\mathbf{B}&\mathbf{C}\\&\text { I } & 16,18,19 & 15,17,20 & 14,18,16 \\\text { Machine } &\text { II } & 20,27,29 & 25,28,27 & 29,28,26 \\&\text { III } & 15,18,17 & 16,16,19 & 13,17,16\end{array}$

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

$\begin{array}{lrrr}\text { SOURCE } & D F & S S & M S \\\text { MACHINE } & 2 & 588.74 & 294.37 \\\text { EMPLOYEE } & 2 & 2.07 & 1.04 \\\text { INTERACTION } & 4 & 15.48 & 3.87 \\\text { ERROR } & 18 & 98.67 & 5.48 \\\text { TOTAL } & 26 & 704.96 &\end{array}$ 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. What is the value of the test
Statistic, F?

• A) F = 0.1898
• B) F = 0.2687
• C) F = 5.2692
• D) F = 53.7172

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Definitions:

Millivolts

A unit of electric potential equal to one thousandth of a volt, often used in measurements of neuron activity.

Synaptic Gap

The tiny space between neurons, across which neurotransmitters travel to transmit signals from one neuron to another.

Sending Neuron

The neuron that transmits a signal to another neuron across a synapse, sending information through the nervous system.

Receiving Neuron

A neuron that receives signals from other neurons through its dendrites in a process crucial for neural communication.