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

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Question 1207865: 1) In one-way ANOVA, suppose that there are three treatments with n1 = 5, n2 = 6, and n3 = 5. What is the rejection region for this test at the 5% level of significance?
a) F > 3.63
b) F > 3.81
c) F > 4.08
d) F > 3.24
Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!

Answer: Option B

Explanation

k = 3 groups
N = n1+n2+n3 = 5+6+5 = 16

df = degrees of freedom
df1 = k-1 = 3-1 = 2
df2 = N-k = 16-3 = 13

I'll use a table to find the F critical value.
If you prefer to use a calculator, then check out this similar question
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1207871.html

Here is the web resource I'll be using
http://socr.ucla.edu/Applets.dir/F_Table.html
Similar tables should be found in the appendix section of your stats textbook.

I'll be using the table that has the title "alpha = 0.05" at the top of the table.
Highlight the column labeled df1 = 2 at the top
Highlight the row labeled df2 = 13 at the left side
This row and column intersect to yield the approximate value 3.8056 which rounds to 3.81

Therefore the rejection region is F > 3.81
Any F values to the right of 3.81 will be in the rejection region.

SOLUTION: 1) In one-way ANOVA, suppose that there are three treatments with n1 = 5, n2 = 6, and n3 = 5. What is the rejection region for this test at the 5% level of significance? a) F > 3.