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In the EAI sampling problem, the population mean is $51, 100


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 0.4238 probability of obtaining a sample mean within ±$500 of the population mean. Use z-table. 


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)? 

math   Statistics-And-Probability   
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