According to the National Study of Postsecondary Faculty fem

According to the National Study of Postsecondary Faculty, female professors earn an average of $12,000 less than male professors across all postsecondary institutions in the United States.

a) If you were also given the standard errors of the annual mean salaries for male and female professors in this study, would you have enough information to determine whether this is a statistically significant difference? Explain.

b) If you found a significant result, is this enough evidence to conclude that the gender pay gap in faculty salaries is due to sex discrimination? Why or why not?

Solution

a)

apart fron standard errors we need to know the level significance

b)

No, it is not enough to conclude that the gender pay gap in faculty salaries is due to sex discrimination.

salary difference may be due other factors associated with difference in gender rather than sex discrimination