In a random sample of 63 women at a company, the mean salary is $48,902 with a standard deviation of $5270. In a random sample of 50 men at the company, the mean salary is $53,454 with a standard deviation of $4677. Construct a 95% confidence interval for the difference between the mean salaries of all women and men at the company. show work

($2134.05, $6969.95)

($2715.11, $6388.89)

($3614.81, $5489.19)

($4083.40, $5020.60)