Sources of Variability When a computed F ratio is statistically significant,
A)all treatment means were probably drawn from the same population.
B)the amount of between-groups variability is large compared to within- groups variability.
C)the F ratio is 1 or less.
D)the computed F is less than F critical.

Question

Quizplus · Accepted Answer

A statistically significant F ratio indicates that there is a significant difference between the means of the groups being compared. This difference is due to the amount of between-groups variability being large compared to within-groups variability, which is why option B is the correct choice. Option A is incorrect since a significant F ratio indicates that the treatment means were not drawn from the same population. Option C is incorrect since an F ratio of 1 or less indicates no significant difference between the groups. Option D is incorrect since the computed F must be greater than the F critical value for the result to be statistically significant.

Sources of Variability When a Computed F Ratio Is Statistically