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Show transcribed image text 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 – 20, there is a 0.4972 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 40 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 80 is used (to 4 decimals)?

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 – 20, there is a 0.4972 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 40 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 80 is used (to 4 decimals)?