Question

Obtain or compute the following quantities. (a) F0.05, 4, 7 (Round your answer to two decimal places.) (b) 70.05, 7,4 (Round your answer to two decimal places.) (c) 70.95, 4, 7 (Round your answer to three decimal places.) (d) F0.95, 7, 4 (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 v1 = 8, V2 = 15 (Round your answer to three decimal places.) (9) P(F= 19.30) for V1 = 5, V2 = 2 (Round your answer to two decimal places.) (h) P(0.207 5 F 34.00) for v1 = 12, V2 = 6 (Round your answer to two decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.

Obtain or compute the following quantities.

(a)

F_{0.05, 4, 7}

(Round your answer to two decimal places.)

(b)

F_{0.05, 7, 4}

(Round your answer to two decimal places.)

(c)

F_{0.95, 4, 7}

(Round your answer to three decimal places.)

(d)

F_{0.95, 7, 4}

(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

v₁ = 8,

v₂ = 15

(Round your answer to three decimal places.)

(g)

P(F ≤ 19.30)

for

v₁ = 5,

v₂ = 2

(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.)

You may need to use the appropriate table in the Appendix of Tables to answer this question.

Answer 1

Solution

We will find the solution using R

> a=qf(0.05,4,7)
> round(a,2)
[1] 0.16
> b=qf(0.05,7,4)
> round(b,2)
[1] 0.24
> c=qf(0.95,4,7)
> round(c,2)
[1] 4.12
> round(c,3)
[1] 4.12
> c
[1] 4.120312
> d=qf(0.95,7,4)
> round(d,3)
[1] 6.094
> g=pf(19.30,5,2)
> round(g,2)
[1] 0.95
> h=pf(4,12,6)-pf(0.207,12,6)
> round(h,2)
[1] 0.94