According to the U.S. Department of Education, full-time graduate students receive an average salary of $12,800 with a standard deviation of $1800. The dean of graduate studies at a large state university in PA wants to find out whether his graduate students earn more than this. He surveys 46 randomly selected students and finds their average salary is $13,445

(a) What is thepopulation?

(b) What are the null and alternativehypotheses?

(c) What test is appropriate? Calculate the teststatistic.

(d) What is the p-value of the test statistic? Is it significant? Explain youranswer.

(d) What is the conclusion from this test?