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

question 18

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 98% 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 $( - \$ 180 , \$ 40 )$

• 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.

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Definitions:

Self-controlled

The capacity to control one's feelings, ideas, and actions in the presence of desires and sudden urges.

Social Identity

A person's identity as it relates to the groups they belong to.

Gender

A social construct regarding the roles, behaviors, activities, and attributes that a given society considers appropriate for men and women.

Distinctiveness

The quality of being markedly different or unique in comparison to others.