Question 9.174

68. Engineers' Starting Salary. The National Association of Colleges and Employers reported in 2013 that the college major with the highest mean starting salary was engineering, with $62,600. Suppose that a random sample of 36 engineering starting salaries is $62,600. Assume the population standard deviation is $10,000.

  1. Construct a 99% Z confidence interval for the population mean starting salary for engineers. (Hint: See Section 8.1.)
  2. Use the confidence interval to test, at level of significance , whether the population mean starting salary for engineers differs from the following amounts:
    1. $66,000
    2. $58,000
    3. $67,000
    4. $59,000