CLT: Distribution Problem#1 of Sample Mean 17. A simple random sample of size n = 49 is obtained from a population with = 80 and = 14. (a) Describe the sampling distribution of . (b) What is P(x >83)? (c) What is P(x = 75.8)? (d) What is P(78.3 < x < 85.1)? Answer (a) 80, 2 (b) 6.69% (c) 1.794 (d) 79.64

Operations Research : Applications and Algorithms
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ISBN:9780534380588
Author:Wayne L. Winston
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Chapter12: Review Of Calculus And Probability
Section12.5: Random Variables, Mean, Variance, And Covariance
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CLT: Distribution
Problem#1
of Sample Mean
17. A simple random sample of size n = 49 is obtained from a
population with μ = 80 and = 14.
(a) Describe the sampling distribution of X.
(b) What is P(x > 83)?
(c) What is P(x = 75.8)?
(d) What is P(78.3 < x < 85.1)?
Answer (a) 80, 2 (b) 6.69% (c) 1.79% (d) 79.6%
Transcribed Image Text:CLT: Distribution Problem#1 of Sample Mean 17. A simple random sample of size n = 49 is obtained from a population with μ = 80 and = 14. (a) Describe the sampling distribution of X. (b) What is P(x > 83)? (c) What is P(x = 75.8)? (d) What is P(78.3 < x < 85.1)? Answer (a) 80, 2 (b) 6.69% (c) 1.79% (d) 79.6%
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