In the EAI sampling problem, the population mean is $71,400 ad the population standard deviation is $5000. For n=30, there is a 0.4908 probability of obtaining a sample mean within $600 of the population mean. Use z-table. is within $600 of the population mean if a sample of size 60 is used (to 4 decimals)? a. What is the probability that b. Answer part (a) for a sample of size 120 (to 4 decimals). 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 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)