Question

Obtain or compute the following quantities. (a) F0.05, 2, 9 (Round your answer to two decimal places.) (b) F0.05, 9,2 (Round your answer to two decimal places.) (c) F0.95, 2,9 (Round your answer to three decimal places.) (d) F0.95, 9, 2 (Round your answer to three decimal places.) (e) the 99th percentile of the F distribution with v1 = 8, V2 = 15 (Round your answer to two decimal places.) (f) the 1st percentile of the F distribution with V2 = 8, V2 = 15 (Round your answer to three decimal places.) (9) P(F S 8.85) for V1 = 8, V2 = 3 (Round your answer to two decimal places.) (h) P(0.102 SF $ 8.94) for V1 = 6, V2 = 3 (Round your answer two decimal places.)

Answer 1

We would be looking at the first 4 parts here:

a) For 2, 9 degrees of freedom we get the p-value from F distribution tables here:

P( F_2,9 < 0.05) = 0.05
Therefore 0.05 is the required critical F value here.

b) For 9, 2, degrees of freedom, the same probability is obtained from F distribution tables as:

P( F_9,2 < 0.23) = 0.05
Therefore 0.23 is the required critical F value here.

c) For 2, 9 degrees of freedom, we have from F distribution tables here:

P( F_2,9 < 4.256) = 0.95

Therefore 4.256 is the required critical F value here.

d) For 9,2 degrees of freedom, we have from F distribution tables here:

P( F_9,2 < 19.385) = 0.95

Therefore 19.385 is the required critical F value here.