An important indicator of lung function is forced expiratory volume (FEV), which is the volume of air

Question:

An important indicator of lung function is forced expiratory volume (FEV), which is the volume of air that a person can expire in one second. Dr. Hernandez plans to measure FEV in a random sample of n young women from a certain population, and to use the sample mean y as an estimate of the population mean. Let E be the event that Hernandez's sample mean will be within ± 100 ml of the population mean. Assume that the population is normal with mean 3,000 ml and standard deviation 400 ml.3 Find Pr{E} if
(a) n = 15
(b) n = 60
(c) How does Pr{E} depend on the sample size? That is as n increases, does Pr{E} increase, decrease, or stay the same? Distribution
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