Test the Hypothesis That $\sigma _ { 1 } < \sigma _ { 2 } \text { at the } \alpha = 0.05$

question 44

Multiple Choice

Test the hypothesis that $\sigma _ { 1 } < \sigma _ { 2 } \text { at the } \alpha = 0.05$ level of significance for the given sample data.
$\begin{array} { c | c c } & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm { n } & 9 & 10 \\\mathrm {~s} & 0.0782 & 0.1955\end{array}$

• A) Test statistic: F=0.16 Critical value: 0.295 . Reject H₀
• B) Test statistic: F=0.16 Critical value: 0.310 . Reject H₀
• C) Test statistic: F=0.16 Critical value: 0.318 . Do not reject H₀
• D) Test statistic: F=0.16 Critical value: 0.295 . Do not reject H₀

---

Definitions:

Political Precedent

A decision made in politics that sets an example or standard for future actions or decisions.

Representative Assembly

A legislative body composed of members elected or appointed to act on behalf of a larger group or constituency in making laws and policies.

Jamestown Colonists

The first permanent English settlers in North America, who founded Jamestown, Virginia, in 1607.

Articles of Confederation

The first written constitution of the United States, in effect from 1781 to 1789, before being replaced by the current U.S. Constitution.