Find the Critical Values $\mathrm { t } _ { 0 }$

Multiple Choice

Find the critical values, $\mathrm { t } _ { 0 }$ to test the claim that $\mu _ { 1 } = \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that $\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ Use $\alpha$ = 0.05. $$\begin{array} { l l } \mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 12 \\\overline { \mathrm { x } } 1 = 15 & \overline { \mathrm { x } } 2 = 16 \\\mathrm {~s} _ { 1 } = 2.5 & \mathrm {~s} _ { 2 } = 2.8\end{array}$$

A) $\pm 2.064$
B) $\pm 2.492$
C) $\pm 1.711$
D) $\pm 1.318$