Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 147000 dollars. Assume the standard deviation is 35000 dollars. Suppose you take a simple random sample of 61 graduates.
Find the probability that a single randomly selected graduate has a salary between 158203.2 and 164028.9 dollars.
P(158203.2 < X < 164028.9) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a random sample of size n=61 has a mean value between 158203.2 and 164028.9 dollars. P(158203.2 < M < 164028.9) = (Enter your answers as numbers accurate to 4 decimal places.)