ning) In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is $4000. For n = 30, there is a 0.5064 probability of obtaining a sample mean within +$500 of...

Plz answer both the parts in 20 minutes


Extracted text: ning) In the EAI sampling problem, the population mean is $71,800 and the population standard deviation is $4000. For n = 30, there is a 0.5064 probability of obtaining a sample mean within +$500 of the population mean. Use z-table. a. What is the probability that E is within $500 of the population mean if a sample of size 60 is used (to 4 decimals)? 0.5066 b. Answer part (a) for a sample of size 120 (to 4 decimals). 0.8262