6.8 Given a population with mean m = 400 and variance s2 = 1, 600, the central...

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6.8 Given a population with mean m = 400 and variance s2 = 1, 600, the central limit theorem applies when the sample size is n Ú 25. A random sample of size n = 35 is obtained.

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

b. What is the probability that x 7 412?

c. What is the probability that 393 … x … 407?

d. What is the probability that x … 389?

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