Use the 5% Significance Level to Test the Hypotheses $H _ { 0 } :$

Essay

Use the 5% significance level to test the hypotheses $H _ { 0 } :$ The two population locations are the same $H _ { 1 } :$ The location of population A is to the right of the location of population B,
given that the data below are drawn from two independent samples: $$\begin{array} { | l | r | r | r | r | r | r | r | r | } \hline \text { Sample A: } & 9 & 11 & 9 & 10 & 12 & 8 & 5 & \\\hline \text { Sample B: } & 8 & 7 & 5 & 7 & 9 & 5 & 6 & 8 \\\hline\end{array}$$