Question: In the EAI sampling problem, the population mean is $51,600 and the population standard deviation is $4,000. When the sample size is n = 30,

In the EAI sampling problem, the population mean is $51,600 and the population standard deviation is $4,000. When the sample size is n = 30, there is a 0.5064 probability of obtaining a sample mean within +/- $500 of the population mean.

a.What is the probability that the sample mean is within $500 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 $500 of the population mean if a sample of size 120 is used (to 4 decimals)?

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