Cornell University conducted a study of wage differentials between men and women reported that one reason that men's wages are higher is that men tend to have more years of work experience than women. The following results were obtained in the study:

                                    Men              Women

     n                                100              85

     mean  experience       14.9             10.3

     σ                                5.2               3.8

Test the assumption that the average work experience of men is greater than that of the women at the 5% significance level. Show all steps.