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 $\sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 }^ { 2 } \text {. }$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 25 & \mathrm { n } _ { 2 } = 30 \\\overline { \mathrm { x } } 1 = 33 & \overline { \mathrm { x } } 2 = 31 \\\mathrm {~s} 1 = 1.5 & \mathrm {~s} _ { 2 } = 1.9\end{array}$$

A) 4.361
B) 3.287
C) 2.892
D) 1.986