Construct a 95% Confidence Interval For $\mu _ { 1 } - \mu _ { 2 }$

Multiple Choice

Construct a 95% confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ Two samples are random, independent, and come from populations that are normally distributed The sample statistics are given below. Assume that $\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\\overline { \mathrm { x } } 1 = 4.8 & \overline { \mathrm { x } } 2 = 5.2 \\\mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 0.51\end{array}$$

A) (-0.883, 0.083)
B) (-4.152, 3.981)
C) (-2.762, 2.762)
D) (-1.762, 1.762)