Test the Claim That $\mu _ { 1 } = \mu _ { 2 } .$

Essay

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 $\sigma _{ 1 } ^{ 2 } \neq \sigma _{ 2 } ^{ 2 } \text {. Use } \alpha = 0.05$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 25 & \mathrm { n } _ { 2 } = 30 \\\overline { \mathrm { x } _ { 1 } } = 18 & \overline { \mathrm { x } } _ { 2 } = 16 \\\mathrm {~s} _ { 1 } = 1.5 & \mathrm {~s} _ { 2 } = 1.9\end{array}$$