A random sample of five observations from the first populati

A random sample of five observations from the first population resulted in a standard deviation of 12. A random sample of seven observations from the second population showed a standard deviation of 7. At the .01 significance level, is there more variation in the first population?

Solution

As

F = s1^2/s2^2

Then

F = 12^2 / 7^2 = 2.94 [ANSWER]

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Here, df1 = n1 - 1 = 11
df2 = n2 - 1 = 7 - 1 = 6

Using a table, at 0.01 significance,

Fcrit = 7.78956974

As F did not exceed Fcrit, the DO NO REJECT HO. [ANSWER]