Using One-Factor ANOVA with 30 Observations We Find at α

Multiple Choice

Using one-factor ANOVA with 30 observations we find at α = .05 that we cannot reject the null hypothesis of equal means. We increase the sample size from 30 observations to 60 observations and obtain the same value for the sample F-test statistic. Which is correct?

A) We might now be able to reject the null hypothesis.
B) We surely must reject H₀ for 60 observations.
C) We cannot reject H₀ since we obtained the same F-value.
D) It is impossible to get the same F-value for n = 60 as for n = 30.