Business Weekly conducted a survey of graduates from 30 top MBAprograms. On the basis of the survey, assume the mean annual salaryfor graduates 10 years after graduation is $121,000. Assume thestandard deviation is $42,000. Suppose you take a simple randomsample of 42 graduates. Round all answers to four decimal places ifnecessary. What is the distribution of X ? X ~ N( , ) What is thedistribution of ¯ x ? ¯ x ~ N( , ) For a single randomly selectedgraduate, find the probability that her salary is between $122,679and $130,519. For a simple random sample of 42 graduates, find theprobability that the average salary is between $122,679 and$130,519. For part d), is the assumption of normal necessary?YesNo
