Does the F Distribution Take into Account Individual Differences When

question 50

Multiple Choice

Does the F distribution take into account individual differences when comparing sample means?

• A) No; we should be careful not to generalize the results because the error of the F statistic is very large.
• B) No; that is why we should only rarely use the F distribution and instead run multiple t tests.
• C) Yes; as the variability within the individual samples decreases, the F statistic becomes larger since the distributions are not overlapping very much.
• D) Yes; as the variability within the individual samples decreases, the F statistic becomes smaller and less confident.

---

Definitions:

Emigrants

Individuals who leave their country of origin to live permanently in another country, often in search of better living conditions or to escape conflicts.

Oregon

A state in the Pacific Northwest region of the United States known for its diverse landscapes, including forests, mountains, farms, and beaches.

Texas Revolt

The 1830s rebellion of residents of the territory of Texas—many of them American emigrants—against Mexican control of the region.

Republic of Texas

A sovereign nation in North America that existed from March 2, 1836, to February 19, 1846, before becoming a state of the United States.