Use the Minitab Display to Test the Indicated Claim ANALYSIS OF VARIANCE ITEMS

question 21

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
$\begin{array} { r r r r r } & \text { I } & 23,27,29 & 30,27,25 & 18,20,22 \\ \text { Machine } \quad \text { II } & 25,26,24 & 24,29,26 & 19,16,14 \\ & \text { III } & 28,25,26 & 25,27,23 & 15,11,17 \end{array}$


ANALYSIS OF VARIANCE ITEMS

$\begin{array} { l r r r } \text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\ \text { MACHINE } & 2 & 34.67 & 17.33 \\ \text { EMPLOYEE } & 2 & 504.67 & 252.33 \\ \text { INTERACTION } & 4 & 26.67 & 6.67 \\ \text { ERROR } & 18 & 98.00 & 5.44 \\ \text { TOTAL } & 26 & 664.00 & \end{array}$ 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:

Plasma Membrane

A selectively permeable lipid bilayer that encloses the cytoplasm of a cell, protecting it from the external environment.

Resting Membrane Potential

The voltage difference across the cell membrane when the cell is in an unstimulated, resting state, crucial for the function of nerve and muscle cells.

Sodium Ion

A positively charged ion (Na+) essential for various physiological functions, including nerve impulse transmission and fluid balance in the body.

Calcium Ions

Positively charged calcium atoms (Ca2+) that play vital roles in various biological processes, including muscle contraction, neurotransmission, and blood clotting.