Based on a random sample of 125 males from a population of
employees, you observe a sample mean salary of $67,523 and a sample
standard deviation of $15,237. Based on a random sample of 75
females from this same population of employees, you observe a
sample mean salary of $61,943 and a sample standard deviation of
$10,346. The endpoints of a 95% confidence interval for the mean
difference in salaries (male minus female) are closest to which of
the following?
a. $1,658 to $9,502
b. $1,088 to $10,071
c. $407 to $10,753
d. $2,293 to $8,867