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A population of values has a distribution with =161.9=161.9 and =35=35. You intend to draw a random sample of size n=168n=168. According to the Central

A population of values has a distribution with =161.9=161.9 and =35=35. You intend to draw a random sample of size n=168n=168. According to the Central Limit Theorem: (a) What is the mean of the distribution of sample means? x= ? (b) What is the standard deviation of the distribution of sample means? (Report answer accurate to 4 decimal place.) x=? (c) In a random sample of n=168, what is the probability that its sample mean is more than 158.8? Round to three decimal places. (d) In a random sample of n=168, what is the probability that its sample mean is less than 160.2? Give your answer to three decimal places.

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