# Question: Given a population with a mean of 200

Given a population with a mean of μ = 200 and a variance of σ2 = 625, the central limit theorem applies when the sample size 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 mean?

b. What is the probability that x-bar > 209?

c. What is the probability that 198 ≤ x-bar ≤ 211?

d. What is the probability that x-bar ≤ 202?

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

b. What is the probability that x-bar > 209?

c. What is the probability that 198 ≤ x-bar ≤ 211?

d. What is the probability that x-bar ≤ 202?

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