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, µ1- µ2, between the mean weekly salary of all female employees and the mean weekly salary of all male employees was determined to be (-$110,-$10). Interpret the results.

Answer 1

Based on given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.

Explanation:

Sample 1 for female

Sample 2 for male

Confidence = 90%

Difference in mean weekly salary of all female employees and the mean weekly salary of all male employees = µ₁- µ₂

So based on above given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.