Find the Standardized Test Statistic $t$ , to Test the Hypothesis That

Multiple Choice

Find the standardized test statistic, $t$ , to test the hypothesis that $\mu _ { 1 } > \mu _ { 2 }$ . Two samples are randomly selected and come from populations that are normal. The sample statistics are given below.
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 18 & \mathrm { n } _ { 2 } = 13 \\\overline { \mathrm { x } } 1 = 425 & \overline { \mathrm { x } _ { 2 } } = 410 \\\mathrm {~s} _ { 1 } = 40 & \mathrm {~s} _ { 2 } = 25\end{array}$$

A) 1.282
B) 3.271
C) 2.819
D) 1.865