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 $155,000. 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 $155,000. Assume the standard deviation is $32,000. 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 XX? XX ~ N(,)


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


3. For a single randomly selected graduate, find the probability that her salary is between $150,700 and $160,600.


4. For a simple random sample of 16 graduates, find the probability that the average salary is between $150,700 and $160,600.


5. For part d), is the assumption of normal necessary? YesNo