This problem is inspired by a study of the "gender gap" in earnings in top corporate jobs [Bertrand and Hallock (2001)1. The study compares total compensation among top executives in a large set of U. S. public corporations in the 1990s. (Each year these publicly traded corporations must report total compensation levels for their top five executives.)

Let Female be an indicator variable that is equal to 1 for females and 0 for males. A regression of the logarithm of earnings onto Female yields

In Eamings= 6.38-0.46Female, SER- 2.59
(0.01) (0.05)

a. Calculate the average hourly earnings for top male and female executives.
b. The hourly eamings for top male executives is per hour. (Round your response to two decimal places.)
c. The hourly earnings for top female executives is per hour. (Round your response to two decimal places.)
d. What is the estimated average difference between earnings of top male executives and top female executives?
e. The estimated average difference between earnings of top male executives and top female executives is $ per hour. (Round your response to two decimal places.)