Reference no: EM132342750

When deciding on which school to enroll in to continue a post-secondary education, a student needs to choose between a For-profit institution and a Non For-profit institution. Two examples of such schools would be University of Phoenix (profit) and Coker University (nonprofit). The U.S. Department of Education conducted a longitudinal study on the outcomes of students at these two types of institutions.

One comparison you can make is earnings of graduates within 6 years of enrollment. In the study, 526 non-traditional student graduates of For-profit bachelor's programs were earning an average of $28,000 per year. Assume the standard deviation for this group is $1100. Of the 998 non-traditional student graduates of nonprofit bachelor's programs, they were earning an average of $31,000 per year, with a standard deviation of $1500.

Using a Two-sample t-test with a=0.05 , can you conclude that the average earnings for for-profit graduates is less than the average earnings for nonprofit graduates? Assume population standard deviations are unknown and not equal.