Chapter 11.3, Problem 21Q

Attorneys representing a group of male buyers employed by Flirty Fashions are filing a reverse discrimination suit against the female-owned company. Central to their case are the following data, showing the relationship between years of service and annual salary for the firm’s fourteen buyers, six of whom are men. The plaintiffs claim that the difference in slopes (0.606 for men versus 1.07 for women) is prima facie evidence that the company’s salary policies discriminate against men. As the lawyer for Flirty Fashions, how would you respond? Use the following sums:

${\displaystyle \underset{i=1}{\overset{6}{\sum }} {\left(y_i-21.3-0.606x_i\right)}^2=5.983}$

and

${\displaystyle \underset{i=1}{\overset{8}{\sum }}{\left(y_i^{*}-23.2-1.07x_i^{*}\right)}^2=13.804}$

Also, ${\displaystyle \underset{i=1}{\overset{6}{\sum }}{\left(x_i-\bar{x}\right)}^2=31.33}$ and ${\displaystyle \underset{i=1}{\overset{8}{\sum }}{\left(x_i^{*}-{\bar{x}}^{*}\right)}^2=46}$.

Years of service