In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is $4000. For n = 30, there is a 0.5064 probability of obtaining a sample mean within ±$500 of the population mean. Use z-table. a. What is the probability that T is within $500 of the population mean if a sample of size 60 is used (to 4 decimals)? b. Answer part (a) for a sample of size 120 (to 4 decimals).

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