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.

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Quizplus · Accepted Answer

Increasing the sample size while maintaining the same F-test statistic value can lead to a higher power of the test, potentially allowing us to reject the null hypothesis due to a smaller p-value associated with the increased sample size.

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