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

ANSWER::

Obtain or compute the following quantities.

using F -table

(a)

F0.05, 2, 9 = 4.26

(b)

F0.05, 9, 2 =19.39

(c)

F0.95, 2, 9 = 0.05

(d)

F0.95, 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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