Question: In the EAI sampling problem, the population mean is$71,400 and the population standard deviation is $4000. For n=30, there is aprobability of 0.5878 obtaining a

In the EAI sampling problem, the population mean is$71,400 and the population standard deviation is $4000. For n=30, there is aprobability of 0.5878 obtaining a sample mean within +-600of the population mean. Use z-table.

a. What is the probability thatis within 600of the population mean if a sample of size 60is used (to fourdecimals)?

b. Answer part (a) for a sample of 120 size(to fourdecimals).

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