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

Question 1

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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%95 \% confidence interval for the difference, μ1μ2\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) ( - \$ 180 , \$ 60 ) .


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

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