The National Association of Colleges (NAC) reported in 2003 that the mean starting salary for college graduates majoring in management information systems was $40,915 and for psychology major was...

The National Association of Colleges (NAC) reported in 2003 that the mean starting salary for college graduates majoring in management information systems was $40,915 and for psychology major was $27,454. Suppose the NAC data are based on surveys of size 144 for each major, with a standard deviation of $10,000 for the management information systems majors and $7000 for the psychology majors. Construct and interpret a 95% confidence interval for the difference between two means. Write a conclusion sentence.