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In the EAI sampling problem, the population mean is $51,800 and the population standard deviation is...

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Basic Math

In the EAI sampling problem, the population mean is $51,800 andthe population standard deviation is $4,000. When the sample sizeis n = 20, there is a 0.4246 probability of obtaining a sample meanwithin +/-$500 of the population mean. Use z-table.

a. What is the probability that the sample meanis within $500 of the population mean if a sample of size 40 isused (to 4 decimals)?

b. What is the probability that the sample meanis within $500 of the population mean if a sample of size 80 isused (to 4 decimals)?

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