The variance of a Student t distribution approaches zero as the degrees of freedom approaches infinity.

The manager of a human resources department wishes to predict the salary of an employee based on years of experience,x,and gender,g.(g = 1 for a male employee and 0 for a female employee.) A random sample of 50 employees results in the following least-squares regression equation: $\text{ Salary }=40,000+2,500x+1,500\mathrm{g}+1,000\mathrm{xg}$ Interpret the value of the coefficient of gender (g) .

A) We predict that a woman with 0 years of experience will make $1,500 more than a man with 0 years of experience.
B) We predict that a man with 0 years of experience will make $1,000 more than a woman with 0 years of experience.
C) We predict that a man with 0 years of experience will make $2,500 more than a woman with 0 years of experience.
D) We predict that a man with 0 years of experience will make $1,500 more than a woman with 0 years of experience.
E) We predict that a woman with 0 years of experience will make $2,500 more than a man with 0 years of experience.