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.
$\begin{array} { l l } \mathrm { n } _ { 1 } = 10 & \mathrm { n } _ { 2 } = 12 \\ \overline { \mathrm { x } } 1 = 25 & \overline { \mathrm { x } } 2 = 23 \\ \mathrm {~s} _ { 1 } = 1.5 & \mathrm {~s} _ { 2 } = 1.9 \end{array}$

A) $( 0.360,3.640 )$
B) $( 1.335,3.012 )$
C) $( 1.413,3.124 )$
D) $( 1.554,3.651 )$