Given a random sample of size 19 from a normal distribution, find k such that(a) P(- 2.878 < T

Answered: Given a random sample of size 19 from a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A population of values has a normal distribution with μ=165.5μ=165.5 and σ=79.8σ=79.8. You intend to draw a random sample of size n=11n=11.Find the probability that a single randomly selected value is less than 208.8.P(X < 208.8) = Find the probability that a sample of size n=11n=11 is randomly selected with a mean less than 208.8.P(M < 208.8) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
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A population of values has a normal distribution with μ=139.8μ=139.8 and σ=54.4σ=54.4. You intend to draw a random sample of size n=87n=87.a.) Find the probability that a single randomly selected value is greater than 121.1.P(X > 121.1) = b.) Find the probability that a sample of size n=87n=87 is randomly selected with a mean greater than 121.1.P(M > 121.1) = (Here M is the mean of the sample)Enter your answers as numbers accurate to 4 decimal places.
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Given the normally distributed variable X withmean 18 and standard deviation 2.5, find(a) P(X <15);(b) the value of k such that P(X <k) = 0.2236;(c) the value of k such that P(X >k) = 0.1814;(d) P(17 < X < 21).---------------------------------
For an F-distribution, find (a) f0.05 with v₁ = 6 and v₂ = 8; (b) f0.05 with V₁ = 8 and v₂ = 6; (c) f0.01 with V₁ = 10 and v₂ = 24; (d) fo.95 with v₁ = 24 and v₂ = 10; (e) fo.99 with V₁ = 7 and v₂ = 9. Click here to view page 1 of the table of critical values of the f-distribution, for alpha = 0.01. 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) f0.05 = (Round to two decimal places as needed.)
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Given a random sample of size 19 from a normal distribution, find k such that (a) P(- 2.878