Question

usiness 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 $157,000. Assume the standard deviation is $36,000. Suppose you take a simple random sample of 16 graduates. Round all answers to four decimal places if necessary.
What is the distribution of X? X ~ N( , )
What is the distribution of¯x?¯x ~ N( , )
For part b), is the assumption of normal necessary?_ Yes _No
For a single randomly selected graduate, find the probability that her salary is between $144,800 and $156,000. __________
For a simple random sample of 16 graduates, find the probability that the average salary is between $144,800 and $156,000. ___________

Answer 1