Eight Observations Were Selected from Each of Three Populations, and an Analysis

question 56

Essay

Eight observations were selected from each of three populations, and an analysis of variance was performed on the data. The following are the results: $$\begin{array} { l l l l l } \text { Source of Variation } & \begin{array} { l } \text { Sum of } \\\text { Squares }\end{array} & \begin{array} { l } \text { Degrees of } \\\text { Freedom }\end{array} & \begin{array} { l } \text { Mean } \\\text { Square }\end{array} & F \\\hline \text { Between treatments } & 195.58 & & \\\text { Within treatments (Error) } & 10.77 & & \\\hline \text { Total } & & &\end{array}$$ ​
Using α = .05, test to see if there is a significant difference among the means of the three populations. The sample sizes for the three treatments are equal.

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Definitions:

Fixed Costs

Expenses that do not change with the level of production or business activity, such as rent, salaries, and insurance.

Controlled Costs

Expenses that can be managed or influenced by decisions of business managers, allowing organizations to adjust for efficiency and cost savings.

Material Price Variances

The difference between the actual cost of materials and the standard or expected cost, multiplied by the quantity purchased.

Time Materials

A pricing model where a customer pays based on the actual time spent on a project and the cost of materials used.