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 $44,000. Suppose you take a simple random sample of 7 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 a single randomly selected graduate, find the probability that her salary is between $145,154 and $154,669.
For a simple random sample of 7 graduates, find the probability that the average salary is between $145,154 and $154,669.
For part d), is the assumption of normal necessary? NoYes