In the EAL sampling problem, the population mean is $71,300 and the population standard deviation is $5000. Forn= 30, there is a 0.4176 probability of obtaining a sample mean within +$500 of the...

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Extracted text: In the EAL sampling problem, the population mean is $71,300 and the population standard deviation is $5000. Forn= 30, there is a 0.4176 probability of obtaining a sample mean within +$500 of the population mean. Use z-table. a. What is the probability that is within $500 of the population mean if a sample of size 60 is used (to 4 decimals)? b. Answer pat () for a sample of size 120 (to 4 decimals). 0.7242