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Sampling distributions 7. A normally-distributed population has an unknown mean u, and known standard deviation of = 20. (a) What is the probability that a

Sampling distributions

7. A normally-distributed population has an unknown mean u, and known standard deviation of = 20. (a) What is the probability that a random observation T from this pop- ulation will satisfy MX - 2 ST S H x + 2? In other words, what is the probability that T falls within the range Mx + 2? (b) What is the probability that the mean of a random sample of size 144 from the population will fall within the range M, + 2? (c) What is the probability that the mean of a random sample of size 400 from the population will fall within the range M, + 2

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