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 $187,000. Assume the...

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 $187,000. Assume the standard deviation is $42,000. Suppose you take a simple random sample of 16 graduates.Round all answers to four decimal places if necessary.

1. What is the distribution of X? X ~ N(    ,      )


2. What is the distribution of x¯? (x bar)  x¯(x bar)~ N(   ,    )


3. For part b), is the assumption of normal necessary? No or Yes


4. For a single randomly selected graduate, find the probability that her salary is between $188,150 and $202,800.


5. For a simple random sample of 16 graduates, find the probability that the average salary is between $188,150 and $202,800.