A study was conducted to examine differences in starting salaries for university graduates in Ontario and Quebec. Because starting salaries are in different ranges based on type of degree, the Ontario and Quebec results are paired with respect to degree earned in the adjacent table.
a. At the 0.05 significance level, test the claim that starting salaries in Ontario and Quebec are equal. What do you conclude about the effect of province on the starting salary for graduates?
b. Construct a 95% confidence interval for the mean of the differences between Ontario and Quebec starting salaries for various types of degrees earned.

Degree B.A. or B.Sc. B. Comm. .. or M.Sc. M.B.A. Chem. Eng. Civil Eng Elec. Eng. Mech. Eng. Structural Eng. Ontario $28,900 $29,500 $34,600 $36,600 $32,900 533,700 $34,000 533,700 $33,500 Quebec S28,300 $28,500 531,900 S34,100 $34.400 36,300 $32,300 $34,300 S35,100