Fill in the Missing Entries in the Following Partially Completed

question 32

Multiple Choice

Fill in the missing entries in the following partially completed one-way ANOVA table. $\begin{array}{|l|r|c|c|c|}\hline \text { Source } & d f & \mathrm{SS} & \mathrm{MS}=\mathrm{SS} / \mathrm{df} & \text { F-statistic } \\\hline \text { Treatment } & 3 & & & 11.16 \\\hline \text { Error } & & 13.72 & 0.686 & \\\hline \text { Total } & & & & \\\hline\end{array}$

• A)
• \(\begin{array}{|l|c|c|c|c|}
• \hline \text { Source } & d f & \mathrm{SS} & \mathrm{MS}=\mathrm{SS} / \mathrm{df} & \mathrm{F} \text {-statistic } \\
• \hline \text { Treatment } & 3 & 22.97 & 7.66 & 11.16 \\
• \hline \text { Error } & 20 & 13.72 & 0.686 & \\
• \hline \text { Total } & 23 & 36.69 & & \\
• \hline
• \end{array}\)
• B)
• \(\begin{array}{|l|r|c|c|c|}
• \hline \text { Source } & d f & \mathrm{SS} & \mathrm{MS}=\mathrm{SS} / \mathrm{df} & \mathrm{F} \text {-statistic } \\
• \hline \text { Treatment } & 3 & 2.55 & 7.66 & 11.16 \\
• \hline \text { Error } & 20 & 13.72 & 0.686 & \\
• \hline \text { Total } & 23 & 16.27 & & \\
• \hline
• \end{array}\)
• C)
• \(\begin{array}{|l|r|c|c|c|}
• \hline \text { Source } & d f & \mathrm{SS} & \text { MS=SS/df } & \text { F-statistic } \\
• \hline \text { Treatment } & 3 & 48.80 & 16.27 & 11.16 \\
• \hline \text { Error } & 20 & 13.72 & 0.686 & \\
• \hline \text { Total } & 23 & 62.52 & & \\
• \hline
• \end{array}\)
• D)
• \(\begin{array}{|l|c|c|c|c|}
• \hline \text { Source } & \text { df } & \mathrm{SS} & \mathrm{MS}=\mathrm{SS} / \mathrm{df} & \mathrm{F} \text {-statistic } \\
• \hline \text { Treatment } & 3 & 0.184 & 0.061 & 11.16 \\
• \hline \text { Error } & 20 & 13.72 & 0.686 & \\
• \hline \text { Total } & 23 & 13.90 & & \\
• \hline
• \end{array}\)

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Definitions:

Average Fixed Cost

The fixed costs of production (costs that do not change with the level of output) divided by the quantity of output produced, decreases as production increases.

Average Total Cost

The total cost of production divided by the quantity of output produced, representing the cost per unit of production.

Economies of Scale

Cost advantages obtained by an increase in production, leading to a reduction in average costs per unit.

Long-run Average Total Cost

The average total cost of production when all inputs, including capital, are variable, typically illustrating economies of scale.