following questions: College Graduates Starting Salaries. According to the Natio

following questions:
College Graduates Starting Salaries. According to the National Association of Colleges and Employers, the 2015 mean starting salary for new college graduates in health sciences was $50,041. The mean 2015 starting salary for new college graduates in business was $53,901 (National Association of Colleges and Employers website). Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $10,500. Assume that the standard deviation for starting salaries for new college graduates in business is $15,000. (3 points each)
What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?
What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?
What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?
How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences?
Based on the materials in Chapter 7 answer the following questions:
University Costs. After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $29,175. Assume the population standard deviation is $7200. Suppose that a random sample of 60 USC students will be taken from this population. (3 points for a, b, and c. 4 points for d)
What is the value of the standard error of the mean?
What is the probability that the sample mean will be more than $29,175?
What is the probability that the sample mean will be within $1300 of the population mean?
How would the probability in part (c)change if the sample size were increased to 100?