Business Weekly conducted a survey of graduates from several top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $160,000. Assume the standard deviation is $37,000. Suppose you take a simple random sample of 22 graduates. Round all answers to four decimal places if necessary. What is the standard deviation of distribution of X? What is the standard deviation of X? For a single randomly selected graduate, find the probability that her salary is between $158,767 and $164,711. For a simple random sample of 22 graduates, find the probability that the average salary is between $158,767 and S164,711. For part d), is the assumption of normal necessary? O YesONo