Question

Please answer Both

QUESTION 2: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 17 days. (round to one decimal) In what range would you expect to find the middle 95% of most pregnancies? Between ___ AND ____ If you were to draw samples of size 49 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample? Between ___ and ____

QUESTION 3: 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 146000 dollars and it comes from a set of data that is normally distributed. Assume the standard deviation is 30000 dollars. Suppose you take a simple random sample of 58 graduates. ( ROUND TO 4 DECIMALS) A) Find the probability that a single randomly selected salary is at least 145000 dollars. P(X > 145000) = B) Find the probability that a sample of size n=58n=58 is randomly selected with a mean that is at least 145000 dollars. P(M > 145000) =

Answer 1