One-way ANOVA is performed on three independent samples with n₁ = 6,n₂ = 7,and n₃ = 8.The critical value obtained from the F-table for this test at the 2.5% level of significance equals: A) 3.55. B) 39.45. C) 4.56. D) 29.45.

Question

Quizplus · Accepted Answer

The degrees of freedom for one-way ANOVA with three groups are (k - 1) and (n - k), where k is the number of groups and n is the total sample size. In this case, k = 3 and n = 21, so the degrees of freedom are 2 and 18. Using a significance level of 2.5%, the critical value from the F-table for 2 and 18 degrees of freedom is 4.56. Therefore, the answer is choice C.

One-Way ANOVA Is Performed on Three Independent Samples with N1

One-Way ANOVA Is Performed on Three Independent Samples with N₁