In the EAI sampling problem, the population mean is $71,100 and the population standard deviation is $5000. For n = 30, there is a 0.4908 probability of obtaining a sample mean within +$600 of the...

In the EAI sampling problem, the population mean is $71100 and the population standard deviation is $5000. For n=30, there is a .4908 probability of obtaining a sample mean within plus or minus 600 of the population mean.

Extracted text: In the EAI sampling problem, the population mean is $71,100 and 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. a. What is the probability that T is within $600 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).