2. According to the U.S. Department of Education, full-time graduates receive an average salary of $12,800. The dean of graduate studies at a large university claims that their graduates earn more...

2. According to the U.S. Department of Education, full-time graduates receive an average salary of $12,800. The dean of graduate studies at a large university claims that their graduates earn more than the national average. He surveys 46 randomly selected students and finds their average salary is $13,445 with a standard deviation of $1800. With alpha = 0.05, is there enough evidence to support the Dean’s claim?