Clarion university of PA wishes to demonstrate that majors play a role in GPA. Specifically they want to say that Management majors have different GPAs than other COBA students

sample1, of n=47 students who were management students were chosen. This group has a GPA of 3.157. Assume that s1=.5288

sample2, of n=27 Accounting students were chosen. This group had a GPA of 3.354. Assume s2=.519

a) set up the null and alternative hypothesis. Test at a=.05

b) state your decision rule

c) calculate the Zc and draw your conclusions. Report in statistical terms and in terms understandable to your parents