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 98% confidence interval for the difference,
-
,between the mean weekly salary of all female employees and the mean weekly salary of all male employees was determined to be (-$180,$40).
A)Based on these data,we are 98% confident that male employees at this company average between $180 less and $40 more per week than the female employees.
B)We are 98% confident that a randomly selected female employee at this company makes between $180 less and $40 more per week than a randomly selected male employee.
C)Based on these data,we know that 98% of female employees at this company make between $180 less and $40 more than the male employees.
D)We know that 98% of all random samples of employees at this company will show that the average female salary is between $180 less and $40 more per week than the average male salary.
E)With 98% confidence,we can say that female employees at this company average between $180 less and $40 more per week than the male 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 98% confidence interval for the difference, 
- 
,between the mean weekly salary of all female employees and the mean weekly salary of all male employees was determined to be (-$180,$40).
A)Based on these data,we are 98% confident that male employees at this company average between $180 less and $40 more per week than the female employees. 
B)We are 98% confident that a randomly selected female employee at this company makes between $180 less and $40 more per week than a randomly selected male employee. 
C)Based on these data,we know that 98% of female employees at this company make between $180 less and $40 more than the male employees. 
D)We know that 98% of all random samples of employees at this company will show that the average female salary is between $180 less and $40 more per week than the average male salary. 
E)With 98% confidence,we can say that female employees at this company average between $180 less and $40 more per week than the male employees.

Quizplus · Accepted Answer

The 98% confidence interval shows that the true difference between the mean weekly salaries of female and male employees is likely to fall between -$180 and $40. This means that we can be 98% confident that the average weekly salary of female employees at this company is between $180 less and $40 more per week than the average weekly salary of male employees. Option E accurately reflects this interpretation. Option A is incorrect because it implies that only male employees have a range of salaries between -$180 and $40, whereas the true difference is likely to fall between this range. Option B is incorrect because it refers to a specific female employee and a specific male employee, rather than the averages of each group. Option C is incorrect because it suggests that we have information about the entire population of female employees at this company, rather than just the ones in the sample. Option D is incorrect because it describes the likelihood of obtaining a specific type of sample, rather than the range of likely differences between the two groups.

A Researcher Was Interested in Comparing the Salaries of Female