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 183000 dollars. Assume the standard deviation is 40000 dollars. Suppose you take a simple random sample of 97 graduates.
Do not use probability tables to find the probabilities below as they may not be accurate enough.
Find the probability that a single randomly selected salary is more than 181000 dollars.
P(X > 181000) =
Find the probability that a sample of size n = 97 is randomly selected with a mean that is more than 181000 dollars.
P(¯x > 181000) =
Enter your answers as numbers accurate to 4 decimal places.