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 normal populations.
The sample statistics are given below.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 8 & \mathrm { n } _ { 2 } = 7 \\\overline { \mathrm { x } } 1 = 4.1 & \overline { \mathrm { x } _ { 2 } } = 5.5 \\\mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 2.51\end{array}$

A) $( - 3.813,1.013 )$
B) $( - 1.132,1.543 )$
C) $( - 1.679,1.987 )$
D) $( 2.112,2.113 )$