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

question 55

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. $$\begin{array}{l}\begin{array} { c r c c c } & && { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\\text { Machine } & \text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\& \text { III } & 19,26,22 & 35,33,30 & 25,19,23 \\& \text { III, }&18,26 & 20,23,24 & 36,37,31\end{array}\\\\\text { ANALYSIS OF VARIANCE ITEMS }\\\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\\text { MACHINE } & 2 & 1.19 & .59 \\\text { EMPLOYEE } & 2 & 5.85 & 2.93 \\\text { INTERACTION } & 4 & 710.81 & 177.70 \\\text { ERROR } & 18 & 160.00 & 8.89 \\\text { TOTAL } & 26 & 877.85 &\end{array}\end{array}$$ 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:

Equilibrium

The state in which the concentrations of reactants and products in a reversible chemical reaction are unchanged over time, indicating a balance in the rate of forward and reverse reactions.

Synthetic Route

The planned sequence of chemical reactions used to convert starting materials into desired products in the laboratory or industry.

Reagents

Chemical substances that are employed to bring about a chemical reaction in a provided set of reactants.

Reaction

A process in which substances (reactants) are transformed into different substances (products) through chemical change.