A Researcher Was Interested in Comparing the Salaries of Female $95 \%$

question 1

Multiple Choice

A researcher was interested in comparing the salaries of female and male employees of a particular company. Independent random samples of female employees (sample 1) and male employees (sample 2) were taken to calculate the mean salary, in dollars per week, for each group. A $95 \%$ confidence interval for the difference, $\mu _ { 1 } - \mu _ { 2 }$ , between the mean weekly salary of all female employees and the mean weekly salary of all male employees was determined to be $( - \$ 180 , \$ 60 )$ .

• A) We know that \(95 \%\) of female employees at this company make between \(\$ 180\) less and \(\$ 60\) more than the male employees.
• B) We know that \(95 \%\) of all random samples done on the employees at this company will show that the average female salary is between \(\$ 180\) less and \(\$ 60\) more per week than the average male salary.
• C) We are \(95 \%\) confident that a randomly selected female employee at this company makes between \(\$ 180\) less and \(\$ 60\) more per week than a randomly selected male employee.
• D) Based on these data, with \(95 \%\) confidence, female employees at this company average between \(\$ 180\) less and \(\$ 60\) more per week than the male employees.
• E) Based on these data, with \(95 \%\) confidence, male employees at this company average between \(\$ 180\) less and \(\$ 60\) more per week than the female employees.

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