Question 1207865
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Answer: <font color=red>Option B</font>


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 <font color=red>3.81</font>


Therefore the rejection region is <font color=red>F > 3.81</font> 
Any F values to the right of 3.81 will be in the rejection region.
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