# (Solved): In The EAI Sampling Problem, The Population Mean Is $51,100 And The Population Standard Deviation Is...

In the EAI sampling problem, the population mean is $51,100 and
the population standard deviation is $4,000. When the sample size
is *n* = 20, there is a 0.4977 probability of obtaining a
sample mean within +/- $600 of the population mean. Use
*z*-table.

- What is the probability that the sample mean is within $600 of
the population mean if a sample of size 40 is used (to 4
decimals)?

- What is the probability that the sample mean is within $600 of the population mean if a sample of size 80 is used (to 4 decimals)?