Question

. Suppose that a researcher, using wage data on 250 randomly selected male workers and 280 female workers, estimate the OLS regression Wage = 12.68 + 2.79 Male, R2 = 0.10 (0.18) (0.84) where wage is measured in $/hour and male is a binary variable that is equal to one if the person is male and 0 if the person is female. Define the wage gender gap as in the difference in the mean earnings between men and women. (Note, standard errors of the regression coefficients are in the parentheses) a. What is the estimated gender gap? b. Is the estimated gender gap significantly different from zero? c. Construct a 95% interval for the gender gap. d. In the sample what is mean wage of women? Of Men?

          .     Suppose that a researcher, using wage
data on 250 randomly selected male workers and 280 female workers,
estimate the OLS regression
           
Wage = 12.68  + 2.79 Male,    
R2 = 0.10
                 
(0.18)    (0.84)
where wage is measured in $/hour and male is a binary variable
that is equal to one if the person is male and 0 if the person is
female.  Define the wage gender gap as in the difference in
the mean earnings between men and women. (Note, standard errors of
the regression coefficients  are in the parentheses)
a. What is the estimated gender gap?
b. Is the estimated gender gap significantly different from
zero?
c. Construct a 95% interval for the gender gap.
d. In the sample what is mean wage of women?  Of Men?

Added by Tracy B.

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