Question 1202982
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Answer: <font color=red size=4>9.78</font> (approximate)



Explanation:


n1 = sample size for the numerator = 4
n2 = sample size for the denominator = 7


df1 = degrees of freedom of the numerator
df1 = n1 - 1 = 4 - 1 = 3


df2 = degrees of freedom of the denominator
df2 = n2 - 1 = 7 - 1 = 6


Now turn to the appendix section of your stats textbook.
Look for the F distribution table.


If you don't have your textbook with you, then use something like this
<a href = "http://socr.ucla.edu/Applets.dir/F_Table.html">http://socr.ucla.edu/Applets.dir/F_Table.html</a>
or this
<a href = "https://www.statology.org/f-distribution-table/">https://www.statology.org/f-distribution-table/</a>
Many other such tables can be found online.


On either page, scroll down until reaching alpha = 0.01
Look at the column marked df1 = 3 and row df2 = 6
The value <font color=red>9.780</font> is in this row and column combo.
This is the approximate critical F-value for these two degrees of freedom at this alpha level.


An alternative would be to use a calculator such as this
<a href="https://www.danielsoper.com/statcalc/calculator.aspx?id=4">https://www.danielsoper.com/statcalc/calculator.aspx?id=4</a>
Be sure to ask your professor if s/he allows the use of a calculator, or would prefer a table instead.



Further Reading
<a href = "https://stats.libretexts.org/Bookshelves/Applied_Statistics/Natural_Resources_Biometrics_(Kiernan)/04%3A_Inferences_about_the_Differences_of_Two_Populations/4.05%3A_F-Test_for_Comparing_Two_Population_Variances">https://stats.libretexts.org/Bookshelves/Applied_Statistics/Natural_Resources_Biometrics_(Kiernan)/04%3A_Inferences_about_the_Differences_of_Two_Populations/4.05%3A_F-Test_for_Comparing_Two_Population_Variances</a>
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