In a single-factor ANOVA problem involving five populations or treatments, which of the following statements are true about the alternative hypothesis?
A) All five population means are equal.
B) All five population means are different.
C) At least two of the population mean are different.
D) At least three of the population mean are different.
E) At most, two of the population means are equal.

Question

Quizplus · Accepted Answer

The alternative hypothesis for a single-factor ANOVA problem involving five populations or treatments is that at least two of the population means are different. This is because we are not testing whether all five population means are equal (that is the null hypothesis), but rather whether there is enough evidence to suggest that at least two of them are different.

In a Single-Factor ANOVA Problem Involving Five Populations or Treatments