Your firm is being sued for Gender Discrimination based on the different salaries paid to men and women. You have collected data on the salaries paid to 29 of the staff who work in one section and have calculated the following information:

Men Women

Number 18 11

Average salary $93, 580 $83,215

Standard Deviation $9,110 $6,371

In your expert opinion, do you believe that the firm is likely to lose the case because women can be shown to earn less than men on average. Conduct any tests you need to answer this question at a 5% level of significance. You may assume the population distribution of salaries is normal.