The population means for each of four populations is 100, and the variance for each of the four populations is 16. The four ns for samples drawn from each population all equal 50. (When you answer the question, do not calculate-just think.) In a one-way ANOVA, what is the expected F-ratio?
A) 0
B) 1
C) 4
D) 16

Question

Quizplus · Accepted Answer

The expected F-ratio in a one-way ANOVA, when the population means are equal (as they are in this scenario), is 1. This is because the F-ratio is a measure of variance among group means relative to the variance within groups. When the population means are equal, the variance among group means is expected to be zero, leading to an F-ratio of 1, indicating no significant difference among the group means.

The Population Means for Each of Four Populations Is 100