(Solved): Consider the following hypothesis test. H0:12=0Ha:12=0 Th ...

Consider the following hypothesis test. $\begin{array}{l}{H}_0:{\mu }_1-{\mu }_2=0\\ H_a:{\mu }_1-{\mu }_2\ne 0\end{array}$ The following results are from independent samples taken from two populations. Sample 1 $n1=35$ ${\bar{x}}_1=13.6$ $S_1=5.9$ Sample 2 $n2=40$ ${\bar{x}}_2=10.1$ $s_2=8.5$ a. What is the value of the test statistic (to 2 decimals)? b. What is the degrees of freedom for the $t$ distribution? (Round down your answer to the whole number) c. What is the $p$-value? Use $z$-table. The area in the upper tail is ; two-tailed p-value is between d. At $\alpha =.05$, what is your conclusion? $p$-value is $H_0$