Construct and Interpret Confidence Intervals Regarding the Difference of Two $\$ 28,900$

Multiple Choice

Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means
-A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $\$ 28,900$ with a standard deviation of $\$ 2300$ . The mean from the second city was $\$ 30,300$ with a standard deviation of $\$ 2100$ . Construct a $95 \%$ confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ .

A) $( - 3125,325 )$
B) $( - 2054,238 )$
C) $( - 2871,567 )$
D) $( - 4081,597 )$