(Solved): Given the null and alternative hypotheses, sample means, sample sizes, and population standard devi ...

Given the null and alternative hypotheses, sample means, sample sizes, and population standard deviations shown to the right, conduct a $H_0:{?}_1?{?}_2?0$ ${\mathrm{H}}_{\mathrm{A}}:{?}_1?{?}_2<0$ ${\mathrm{H}}_{\mathrm{A}}:{?}_1?{?}_2<0$ \begin{tabular}{ll} $\overline{{\mathrm{x}}_1}=150$ & ${\overline{\mathrm{x}}}_2=137$ \\ ${?}_1=15$ & ${?}_2=12$ \\ ${\mathrm{n}}_1=45$ & ${\mathrm{n}}_2=65$ \\ \hline \end{tabular} hypothesis test using an alpha level equal to 0.10 . If you tested the hypothesis above, what is the z-critical value? (Hint: All you have to do is identify the $z$-critical value associated with the given alpha level \& hypothesis test. You do not need to calculate any test statistic for this problem.)