statistics
posted by Danny .
In a oneway ANOVA, there are three independent samples, with n1 8, n2 = 10, and n3 = 7. The calculated Fstatistic is F = 3.95. At the 0.05 level of significance, what conclusion would be reached? Based on the F distribution tables, what is the most accurate statement that can be made about the pvalue for this test?

Since there are k=3 groups and N=25 observations, the Fstatistic has degrees of freedom 2, 22. From the table, the pvalue is 0.0343. That means that we reject the null hypothesis. The three group means are unequal.