Construct and Interpret Confidence Intervals Regarding the Difference of Two $95 \%$

Multiple Choice

Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means
-Construct a $95 \%$ confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ . Two samples are randomly selected from each population.
The sample statistics are given below.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 40 & \mathrm { n } _ { 2 } = 35 \\\overline { \mathrm { x } } 1 = 12 & \overline { \mathrm { x } } 2 = 13 \\\mathrm {~s} _ { 1 } = 2.5 & \mathrm {~s} _ { 2 } = 2.8\end{array}$

A) $( - 2.209,0.209 )$
B) $( - 2.001 , - 1.873 )$
C) $( - 1.968,1.561 )$
D) $( - 1.673,1.892 )$