In the EAI sampling problem, the population mean is $51,200 and the population standard deviation is $4,000. When the sample size is n = 30, there is a 0.5878 probability of obtaining a sample mean within +/- $600 of the population mean.
A) What is the probability that the sample mean is within $600 of the population mean if a sample of size 60 is used (to 4 decimals)?
B) What is the probability that the sample mean is within $600 of the population mean if a sample of size 120 is used (to 4 decimals)?