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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 0.4246 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 40 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 80 is used (to 4 decimals)?

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