Question: The departments at Bufford State University publish an average of 5.1 professional articles a year. The sociology department regularly averages about 3.5. The chairman of the sociology department feels her department does less well because it is harder to publish in sociology. Them chairman takes a survey of 12 other sociology departments and finds the following: \(\bar{X}\) = 4.2 s = 1.6. What will the chairman tell the dean? Perform the hypothesis.