Question

Obtain or compute the following quantities.

(a)F_{0.05, 2, 9} (Round your answer to two decimal places.)

(b)F_{0.05, 9, 2} (Round your answer to two decimal places.)

(c)F_{0.95, 2, 9}(Round your answer to three decimal places.)

(d)F_{0.95, 9, 2}(Round your answer to three decimal places.)

(e)the 99th percentile of the F distribution with v₁ = 9,v₂ = 15(Round your answer to two decimal places.)

(f)the 1st percentile of the F distribution with v₁ = 9,v₂ = 15(Round your answer to three decimal places.)

(g)P(F ≤ 9.01) for v₁ = 5,v₂ = 3(Round your answer to two decimal places.)

(h)P(0.207 ≤ F ≤ 4.00) for v₁ = 12,v₂ = 6 (Round your answer to two decimal places.)

Answer 1

Obtain or compute the following quantities.

using F -table

(a)F_{0.05, 2, 9} = 4.26

(b)F_{0.05, 9, 2} =19.39

(c) F_{0.95, 2, 9} = 0.05

(d) F_{0.95, 9, 2} =0.23

(e) v₁ = 9,v₂ = 15 , 99th percentile = 3.90

(f) v₁ = 9,v₂ = 15 , 1st percentile = 0.20

(g) v₁ = 5,v₂ = 3  for P(F ≤ 9.01)

= 0.95

(h) P(0.207 ≤ F ≤ 4.00) for v₁ = 12,v₂ = 6

= P(F 4.00) - P(F0.207)

=0.86 - 0.05

= 0.81

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