Assume That the Number of Items Produced Is Not Affected

question 173

Essay

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

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

$\begin{array}{lcrr}\text { SOURCE } & \text { DF } & \text { SS } &{\text { MS }} \\\text { MACHINE } & 2 & 588.74 & 294.37 \\\text { EMPLOYEE } & 2 & 2.07 & 1.04 \\\text { INTERACTION } & 4 & 15.48 & 3.87 \\\text { ERROR } & 18 & 98.67 & 5.48 \\\text { TOTAL } & 26 & 704.96 &\end{array}$ Using a 0.05 significance level, test the claim that the interaction between employee and
machine has no effect on the number of items produced.

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Definitions:

Beneficiaries

Individuals or entities designated to receive the benefits or proceeds from insurance policies, trusts, wills, or other contracts.

Testator

An individual who has made a will or testament, in which they designate the distribution of their estate after their death.

Issue

Lineal descendants such as children and grandchildren. This category of persons includes adopted children.

Interested Party

An individual or group that has an interest in any decision or activity of an organization, including shareholders, creditors, or employees.