In a one-way ANOVA, if and a sample of size 25 is selected at random from each of the 5 populations, then which of the following is the correct critical value at
A) z = 1.645
B) t = 2.1318
C) F = 2.45
D) = 9.488

Question

In a one-way ANOVA, if  and a sample of size 25 is selected at random from each of the 5 populations, then which of the following is the correct critical value at 
A) z = 1.645 
B) t = 2.1318 
C) F = 2.45 
D) = 9.488

Quizplus · Accepted Answer

For a one-way ANOVA with 5 groups, the critical value is calculated using the F-distribution. The degrees of freedom for the numerator are dfn = k-1 = 4 and the degrees of freedom for the denominator are dfd = N-k = 115, where N is the total sample size (25*5 = 125) and k is the number of groups (k=5). Using a significance level of 0.05, the critical value for F is found to be 2.45. Therefore, choice C is the correct answer.

In a One-Way ANOVA, If and a Sample of Size