Test Hypotheses Regarding the Difference of Two Independent Means
-Find $\mu _ { 1 } \neq \mu _ { 2 }$

Multiple Choice

Test Hypotheses Regarding the Difference of Two Independent Means
-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 $\alpha = 0.02$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 51 & \mathrm { n } _ { 2 } = 38 \\\overline { \mathrm { x } } 1 = 8.6 & \overline { \mathrm { x } } 2 = 9 \\\mathrm {~s} 1 = 0.76 & \mathrm {~s} _ { 2 } = 0.51\end{array}$$

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