8. Is touching by a coworker sexual harassment? This question was included on a survey given to federal employees, who responded on a scale of 1 to 5, with 1 meaning a strong negative and 5 indicating a strong yes. The table summarizes the results.

Sample Sample Sample Gender Size Mean SD Female 4343 4.6056 .8659 Male 3903 4.1709 1.2157 Of course, with 1 to 5 being the only possible values, the normal distribution does not apply here, but the sample sizes are suf cient that it does not matter.

Obtain a two-sided con dence interval for the difference in population means. Does your interval suggest that females are more likely than males y  16.87 484 to regard touching as harassment? Explain your reasoning.