Dr. Hernandez plans to measure FEV in a random sample of n young women from a certain popu- lation, and to use the sample mean y ̄ as an estimate of the population mean. Let A be the event that Hernandez’s sample mean will be within ±100 ml of the popula- tion mean. Assume that the population is normal with mean 3,000 ml and standard deviation 400 ml. Find Pr(A) if

Question

Dr. Hernandez plans to measure FEV in a random sample of n young women from a certain popu- lation, and to use the sample mean y ̄ as an estimate of the population mean. Let A be the event that Hernandez’s sample mean will be within ±100 ml of the popula- tion mean. Assume that the population is normal with mean 3,000 ml and standard deviation 400 ml. Find Pr(A) if
(a) n = 15
(b) n = 60;
Please help, this isn't for homework points just so I can understand the concept for my midterm! I'm very confused.