In an attempt to compare the starting salaries for university graduates who majored in education as well as social science, random sample of 100 recent university graduates were 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 university graduates 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