A Company That Fills Containers of Water Has Four Machines

question 110

Essay

A company that fills containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 containers,we have the following data of fill measures in litres: $$\begin{array} { l l l l l } & \text { Machine 1 } & \text { Machine 2 } & \text { Machine 3 } & \text { Machine 4 } \\\mathrm { N } & 4 & 6 & 5 & 4 \\\bar { x } & 4.03 & 4.0017 & 3.974 & 4.005 \\\mathrm {~S} & 0.0183 & 0.0117 & 0.0182 & 0.0129\end{array}$$ and the following partial ANOVA table (with "group" labeled as "treatment"): $$\begin{array} { l c c c c } \text { Source } & \text { SS } & \text { d.f. } & \text { MS } & \text { F } \\\text { Treatments } & & & 0.002359 \\\text { Errors } & & & \\\text { Total } & 0.010579 & &\end{array}$$
-Determine the degrees of freedom for the treatment,error,and total and state the critical value of the F statistic at a= 05.

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Definitions:

Equity Theory

A theory of motivation that posits individuals assess their job satisfaction and motivation based on their perception of fairness in the exchange of inputs and outcomes in their employment.

Comparison Person

An individual used as a reference point in social comparison processes, influencing one's self-evaluation, feelings, and behaviors.

Inequity

A condition stemming from unfair, unjust treatment or disparities among individuals or groups, often in terms of resources, rights, or opportunities.

Motivator Factors

In the job content are sources of job satisfaction.