SOLUTION: 1) In one-way ANOVA, suppose that there are four treatments with n1 = 5, n2 = 6, n3 = 5, and n4 = 4. What is the rejection region for this test at the 5% level of significance?

Question 1207866: 1) In one-way ANOVA, suppose that there are four treatments with n1 = 5, n2 = 6, n3 = 5, and n4 = 4. What is the rejection region for this test at the 5% level of significance?
a) F > F0.05, 4, 20
b) F > F0.05, 3, 16
c) F > F0.025, 3, 16
d) F > F0.025, 4, 20
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Answer: option B

Explanation

k = 4 groups
N = n1+n2+n3+n4 = 5+6+5+4 = 20

df = degrees of freedom
df1 = k-1 = 4-1 = 3
df2 = N-k = 20-4 = 16

We'll reject the null whenever the F test statistic is larger than the F critical value.
What is the F critical value?
In terms of un-evaluated notation, it would be

The subscript notation may be a bit confusing.
It turns out that all of "0.05,3,16" is the entire subscript.
The 0.05 refers to the alpha level.
The 3,16 refers to the two df values we found in the previous paragraph. The order is important.

It appears you meant to type

but the copy/paste process didn't work as intended.

See this similar question
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1207871.html
This similar question goes over how to read an F-table and how to use various calculator tools to compute the F critical value.

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