1. In the country of X, men and women can work in any of three occupations: farmer, cook, or hunter. The distribution of men and women across the occupations and their hourly wage rates are listed below:

Occupation: Distribution (%): Wages ($)

Women Men Women Men

Farmer 40 40 8 10

Cook 50 20 10 15

Hunter 10 40 12 20

a. Compute the Duncan Segregation Index.

b. What is the average wage of women? Of men? What is the female-male wage ratio? (Assume everyone works the same number of hours.)

c. What would women earn if they had men's jobs (i.e. if their distribution across the occupations was the same as men's)? Now what is the female-male wage ratio (use the same male wage you computed in part (b))? In this case, how much of the gender wage ratio is explained by occupational differences?