To test the null hypothesis H0: μ1 = μ2 = μ3 using samples from normal populations with unknown but equal variances,we
A)cannot safely use ANOVA.
B)can safely employ ANOVA.
C)would prefer three separate t-tests.
D)would need three-factor ANOVA.

Question

Quizplus · Accepted Answer

ANOVA can be safely employed to test the null hypothesis of equality of means of more than two populations, assuming normality and equal variances. Using three separate t-tests would increase the chance of Type I error due to multiple comparisons, and three-factor ANOVA may not be necessary as we only want to test the equality of means among the three populations.

To Test the Null Hypothesis H0: μ1 = μ2 =