In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is $4,000. For n=30, there is a 0.5064 probability of obtaining a sample mean within +500 of the population mean. A) What is the probability that x is within $500 of the population mean if a sample size of 60 is used (to 4 decimals)? B) Answer part A for a sample of size 120 (to 4 decimals).

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In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is $4,000. For n=30, there is a 0.5064 probability of obtaining a sample mean within +500 of the population mean.

A) What is the probability that x is within $500 of the population mean if a sample size of 60 is used (to 4 decimals)?

B) Answer part A for a sample of size 120 (to 4 decimals).

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