Given a random sample of size 18 from a normal distribution, find k such that (a) P(-2.567

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Given a random sample of size 18 from a normal distribution, find k such that
(a) P(-2.567<T<k) = 0.985.
(b) Find P(k <T<3.222) = 0.0975.
(c) Find P(-k<T<k) = 0.95.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
(a) k = (Round to three decimal places as needed.)
Transcribed Image Text:Given a random sample of size 18 from a normal distribution, find k such that (a) P(-2.567<T<k) = 0.985. (b) Find P(k <T<3.222) = 0.0975. (c) Find P(-k<T<k) = 0.95. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) k = (Round to three decimal places as needed.)
For an F-distribution, find
(a) f0.05 with v₁ = 6 and v₂ = 8;
(b) f0.05 with V₁ = 8 and v₂ = 6;
Click here to view page 1 of the table of critical values of the f-distribution, for alpha =
0.01.
(c) f0.01 with v₁ = 10 and v₂ = 24;
(d) fo.95 with v₁ = 24 and v₂ = 10;
(e) fo.99 with V₁ 1 = 7 and v₂ = 9.
Click here to view page 2 of the table of critical values of the f-distribution, for alpha=
0.01.
Click here to view page 1 of the table of critical values of the f-distribution, for alpha=
0.05.
Click here to view page 2 of the table of critical values of the f-distribution, for alpha=
0.05.
(a) fo.05 = 3.58 (Round to two decimal places as needed.)
(b) fo.05
= 4.15 (Round to two decimal places as needed.)
(c) f0.01
=
(Round to two decimal places as needed.)
Transcribed Image Text:For an F-distribution, find (a) f0.05 with v₁ = 6 and v₂ = 8; (b) f0.05 with V₁ = 8 and v₂ = 6; Click here to view page 1 of the table of critical values of the f-distribution, for alpha = 0.01. (c) f0.01 with v₁ = 10 and v₂ = 24; (d) fo.95 with v₁ = 24 and v₂ = 10; (e) fo.99 with V₁ 1 = 7 and v₂ = 9. Click here to view page 2 of the table of critical values of the f-distribution, for alpha= 0.01. Click here to view page 1 of the table of critical values of the f-distribution, for alpha= 0.05. Click here to view page 2 of the table of critical values of the f-distribution, for alpha= 0.05. (a) fo.05 = 3.58 (Round to two decimal places as needed.) (b) fo.05 = 4.15 (Round to two decimal places as needed.) (c) f0.01 = (Round to two decimal places as needed.)
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