A researcher was interested in comparing thesalaries of female and male employee

Question

A researcher was interested in comparing thesalaries of female and male employees of a particularcompany. Independent random samples of femaleemployees (sample 1) and male employees (sample 2) weretaken to calculate the mean salary, in dollars perweek, for each group. A 95% confidence interval for thedifference,1-2 betweenthe mean weekly salary of all female employees and the mean weeklysalary of all male employees was determinedto be (-$117, $23).
A) We know that 95% of all random samples done onthe employees at this company will show that the average femalesalary is between $117 less and $23 more per week than the averagemale salary. B) We know that 95% of female employees atthis company make between $117 less and $23 more than the maleemployees. C)We are 95% confident that a randomly selected female employee atthis company makes between $117 less and $23 more per week than arandomly selected maleemployee. D)Based on these data, we can say with 95% confidence that the femaleemployees at this company average between $117 less and $23 moreper week than the maleemployees. E)Based on these data, we can say with 95% confidence that the maleemployees at this company average between $117 less and $23 moreper week than the femaleemployees. A researcher was interested in comparing thesalaries of female and male employees of a particularcompany. Independent random samples of femaleemployees (sample 1) and male employees (sample 2) weretaken to calculate the mean salary, in dollars perweek, for each group. A 95% confidence interval for thedifference,1-2 betweenthe mean weekly salary of all female employees and the mean weeklysalary of all male employees was determinedto be (-$117, $23).
A) We know that 95% of all random samples done onthe employees at this company will show that the average femalesalary is between $117 less and $23 more per week than the averagemale salary. B) We know that 95% of female employees atthis company make between $117 less and $23 more than the maleemployees. C)We are 95% confident that a randomly selected female employee atthis company makes between $117 less and $23 more per week than arandomly selected maleemployee. D)Based on these data, we can say with 95% confidence that the femaleemployees at this company average between $117 less and $23 moreper week than the maleemployees. E)Based on these data, we can say with 95% confidence that the maleemployees at this company average between $117 less and $23 moreper week than the femaleemployees.

Explanation / Answer

The answer is D), because the confidenceinterval gives the range of differences between female and malemean salaries, which is between -$117 and $23. So, the95% confidence interval says that females make between $117less and $23 more than males.

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