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Assume That the Number of Items Produced Is Not Affected

question 159

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.  Employee  A  B  C  I 16,18,1915,17,2014,18,16 Machine  II 20,27,2925,28,2729,28,26 III 15,18,1716,16,1913,17,16 ANALYSIS OF VARIANCE ITEMS  SOURCE  DF  SS  MS  MACHINE 2588.74294.37 EMPLOYEE 22.071.04 INTERACTION 415.483.87 ERROR 1898.675.48 TOTAL 26704.96\begin{array}{l}\begin{array} { c r c c c } & { \text { Employee } } \\ && \text { A } & \text { B } & \text { 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}\\\\\text { ANALYSIS OF VARIANCE ITEMS }\\\\\begin{array} { l c r r } \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}\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:

Best Friend

A person's closest and most intimate companion, with whom one shares a bond of mutual affection exceeding that of ordinary friendships.

Withdawn-Rejected

Typically relates to social withdrawal behavior observed in individuals, especially children, who are not actively sought after for interaction or play and hence tend to be isolated.

Timid

Characterized by a lack of courage or confidence; easily frightened.

Anxious

Feeling of worry, nervousness, or unease about something with an uncertain outcome.

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