Question

In: Statistics and Probability

Determine the upper tail critical values of F in each of the following two-tailed tests: a....

Determine the upper tail critical values of F in each of the following two-tailed tests:

a. The critical value of F when α = 0.005​, n1 = 16​, and n2 = 10 is

​(Round to two decimal places as​ needed.)

b. The critical value of F when α = 0.05​, n1=16​, and n2 = 10 is

​(Round to two decimal places as​ needed.)

Solutions

Expert Solution

SOLUTION

a.)

Given :

where df1 = 1st degrees of freedom = n1 - 1 = 16-1 = 15

and df2 = 2nd degrees of freedom = n2 - 2 = 10 - 1 = 9

and

-------------------------------- Calculate using F table

The upper tail crictical value of F when   is equal to 6.03

b.)

Given :

where df1 = 1st degrees of freedom = n1 - 1 = 16-1 = 15

and df2 = 2nd degrees of freedom = n2 - 2 = 10 - 1 = 9

and

---------------------------------- Calculated using F table

The upper tail crictical value of F when   is equal to 3.01

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orchestra answered 1 year ago
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