Find the appropriate critical F-value for each of the following using the F-distribution table. a. Di = 12, D2 = 24, α = 0.01 b. D = 10, D2 = 20, α = 0.01 c. D, = 12, D2 = 24, α = 0.05 a. The critical F-value when D = 12, D, = 24, and α = 0.01 is.

(Round to three decimal places as needed.) b. The critical F-value when D1 = 10, D2 = 20, and α = 0.01 is (Round to three decimal places as needed.)

c. The critical F-value when D, = 12, D2 = 24, and α = 0.05 is (Round to three decimal places as needed.)

To find the appropriate critical F-value using the F-distribution table, we need to know the degrees of freedom for the numerator (D1), the degrees of freedom for the denominator (D2), and the significance level (α).

a. For the given values Di = 12, D2 = 24, and α = 0.01, we can look up these values in the F-distribution table. The degrees of freedom for the numerator (D1) is Di - 1 = 12 - 1 = 11, and the degrees of freedom for the denominator (D2) is D2 - 1 = 24 - 1 = 23. The significance level (α) is 0.01. By looking up these values in the F-distribution table, we find that the critical F-value is approximately 3.885.

b. For the given values D1 = 10, D2 = 20, and α = 0.01, we can calculate the degrees of freedom for the numerator (D1) as D1 - 1 = 10 - 1 = 9, and the degrees of freedom for the denominator (D2) as D2 - 1 = 20 - 1 = 19. The significance level (α) is 0.01. By looking up these values in the F-distribution table, we find that the critical F-value is approximately 3.490.

c. For the given values D1 = 12, D2 = 24, and α = 0.05, we can calculate the degrees of freedom for the numerator (D1) as D1 - 1 = 12 - 1 = 11, and the degrees of freedom for the denominator (D2) as D2 - 1 = 24 - 1 = 23. The significance level (α) is 0.05. By looking up these values in the F-distribution table, we find that the critical F-value is approximately 2.489.

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