Given a population with a mean of = 105 and a variance of 2 =

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Given a population with a mean of μ = 105 and a variance of σ2 = 16, the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 25 is obtained.

a. What are the mean and variance of the sampling distribution for the sample means?

b. What is the probability that x > 106?

c. What is the probability that 104 ≤ x̅ ≤ 106?

d. What is the probability that x ≤ 105.5?

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Statistics For Business And Economics

ISBN: 9781292315034

9th Global Edition

Authors: Paul Newbold, William Carlson, Betty Thorne

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