# Question

Given a population with a mean of μ = 100 and a variance of σ2 = 81, 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-bar > 102?
c. What is the probability that 98 ≤ x-bar ≤ 101?
d. What is the probability that x-bar ≤ 101.5?

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