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.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\ \overline { \mathrm { x } } 1 = 4.8 & \overline { \mathrm { x } _ { 2 } } = 5.2 \\ \mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 0.51 \end{array}$

A) $( - 0.977,0.177 )$
B) $( - 4.152,3.981 )$
C) $( - 2.762,2.762 )$
D) $( - 1.762,1.762 )$