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.

Question

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.

Quizplus · Accepted Answer

The confidence interval (-$180, $60) for the difference in mean salaries ($\mu _ { 1 } - \mu _ { 2 }$) indicates that we are 95% confident the true difference in average salaries between female and male employees falls within this range, not the salaries of individual employees or the outcome of all possible samples.

A Researcher Was Interested in Comparing the Salaries of Female μ1−μ2\mu _ { 1 } - \mu _ { 2 }μ1​−μ2​

A Researcher Was Interested in Comparing the Salaries of Female $\mu _ { 1 } - \mu _ { 2 }$