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.

Question

Quizplus · Accepted Answer

The F distribution does take into account individual differences when comparing sample means. As the variability within the individual samples decreases, the F statistic becomes larger since the distributions are not overlapping very much, indicating a significant difference between the means. Therefore, option C is the correct explanation.

Does the F Distribution Take into Account Individual Differences When