The artsy company wishes to argue that a legitimate explanation of any pay rate difference is the difference in job grades by sex. (in this analysis we will tacitly assume that each person's job grade is, in fact, appropriate for them, even though the plaintiff's attorneys have charged that females have been unfairly kept in the lower grades. other statistical data, not available here, are used in the analysis of the job placement issue.) the company’s lawyers ask, "is there a relatively easy way to understand, to analyze and display the pay differences by job grade? easy enough that it could be presented to an average jury without confusing them? " again, try to anticipate the possible arguments of the plaintiffs. to what extent does job grade appear to explain the pay rate differences between the sexes? propose and carry out appropriate hypothesis tests or confidence intervals to check whether the difference in pay between sexes is statistically significant within each of the grades.