red the EAI sampling problem, the population mean is $71,300 and the population standard deviation is $5000. For n = 30, there is a 0.4176 probability of obtaining a sample mean within $500 of the population mean. Use z-table. a. What is the probability that 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).