Find the Standardized Test Statistic, T, to Test the Claim $\mu _ { 1 } > \mu _ { 2 } .$

Multiple Choice

Find the standardized test statistic, t, to test the claim that $\mu _ { 1 } > \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma \stackrel { 2 } { 1 } \neq \sigma _ { 2 } ^{ 2 }$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 18 & \mathrm { n } _ { 2 } = 13 \\\overline { \mathrm { x } } 1 = 515 & \overline { \mathrm { x } _ { 2 } } = 500 \\\mathrm {~s} _ { 1 } = 40 & \mathrm {~s} _ { 2 } = 25\end{array}$$

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