salaries for university graduates who majored in education

In an attempt to compare the starting salaries for university graduates who majored in education…

In an attempt to compare the starting salaries for university graduates who majored in education and social science, random sample of 100 recent university graduateswere selected from each major and the following sample information was obtained:
Major Mean St.Dev.
Education $50,554 $2225
Socal Science $48,348 $2375

Conduct an appropriate hypothesis test at the 5% level of significance to determine if there is an difference in the average starting salaries for all universitygraduates who majored in education and the scocial science.
Conduct this test using:
(i) the p-value method
(ii) the critical value method
(iii) the confidence interval method