In one-way ANOVA, suppose that there are three treatments with , , and . What is the rejection region for this test at the 5% level of significance?
A) F 3.24
B) F 3.63
C) F 3.81
D) F 4.08

Question

In one-way ANOVA, suppose that there are three treatments with  ,  , and  . What is the rejection region for this test at the 5% level of significance?
A) F > 3.24 
B) F > 3.63 
C) F > 3.81 
D) F > 4.08

Quizplus · Accepted Answer

The rejection region for a one-way ANOVA test with three treatments at a 5% level of significance is F > F(2, 27) = 3.81. This critical value is obtained from a table or calculator, with numerator degrees of freedom = k - 1 = 3 - 1 = 2 and denominator degrees of freedom = N - k = 33 - 3 = 30.

In One-Way ANOVA, Suppose That There Are Three Treatments with