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A population of values has a distribution with u - 42.3 and o - 85.1. You intend to draw a random sample of size n

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A population of values has a distribution with u - 42.3 and o - 85.1. You intend to draw a random sample of size n = 182. According to the Central Limit Theorem: (a) What is the mean of the distribution of sample means? Hz = (b) What is the standard deviation of the distribution of sample means? (Report answer accurate to 4 decimal place.) 02 = (c) In a random sample of n=182, what is the probability that its sample mean is more than 48.87 Round to three decimal places. (d) In a random sample of n=182, what is the probability that its sample mean is less than 40.5? Give your answer to three decimal places

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