Test Hypotheses Regarding Two Population Standard Deviations
-Test the Hypothesis $\sigma _ { 1 } < \sigma _ { 2 }$

question 108

Multiple Choice

Test Hypotheses Regarding Two Population Standard Deviations
-Test the hypothesis that $\sigma _ { 1 } < \sigma _ { 2 }$ at the $\alpha = 0.05$ level of significance for the given sample data.
$\begin{array}{c|cc} & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm{n} & 9 & 10 \\\mathrm{~s} & 0.0782 & 0.2079\end{array}$

• A) Test statistic: \(\mathrm { F } = 0.14\) Critical value: \(0.295\). Reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(F = 0.14\) Critical value: \(0.310\). Reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(\mathrm { F } = 0.14\) Critical value: \(0.318\). Do not reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(\mathrm { F } = 0.14\) Critical value: \(0.295\). Do not reject \(\mathrm { H } _ { 0 }\).

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Definitions:

Marginal Revenue

The additional income gained from selling one more unit of a product or service.

Marginal Cost

The supplementary expenditure arising from the creation of an additional unit of a good or service.

Total Revenue

The entire amount of income generated by the sale of goods or services related to the company's primary operations.

Variable Costs

Costs that vary directly with the level of production, such as materials and labor directly involved in manufacturing.