In the EAI sampling problem (see Figure 7.5), we showed that for n = 30, there was

Question:

In the EAI sampling problem (see Figure 7.5), we showed that for n = 30, there was .5034 probability of obtaining a sample mean within ± $500 of the population mean.
a. What is the probability that is within $500 of the population mean if a sample of size 60 is used?
b. Answer part (a) for a sample of size 120.