Find the Standardized Test Statistic to Test the Hypothesis That $\mu _ { 1 } \neq \mu _ { 2 }$

Multiple Choice

Find the standardized test statistic to test the hypothesis that $\mu _ { 1 } \neq \mu _ { 2 }$ . Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.02$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 51 & \mathrm { n } _ { 2 } = 38 \\\overline { \mathrm { x } } 1 = 6.3 & \overline { \mathrm { x } } 2 = 6.7 \\\mathrm {~s} 1 = 0.76 & \mathrm {~s} 2 = 0.51\end{array}$$

A) -2.97
B) -1.82
C) -2.12
D) -2.32