# Question: Given a population with a mean of 100

Given a population with a mean of μ = 100 and a variance of σ2 = 900, the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 30 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 > 109?

c. What is the probability that 96 ≤ x-bar ≤110?

d. What is the probability that x-bar ≤ 107?

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

b. What is the probability that x-bar > 109?

c. What is the probability that 96 ≤ x-bar ≤110?

d. What is the probability that x-bar ≤ 107?

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