In the EAl sampling problem, the population mean is $71,300 and the population standard deviation is $5000. For n20, there is a 0.3472 probability of ottaining a sample mean within 8500 of the...

Extracted text: In the EAl sampling problem, the population mean is $71,300 and the population standard deviation is $5000. For n20, there is a 0.3472 probability of ottaining a sample mean within 8500 of the population mean. Use z-table. a. What is the probability that is within $500 of the population mean it a sample of size 40 is used (to 4 decimais)? b. Answer part (a) for a sampie of size 80 (to 4 decimais).