Consider the following hypothesis test.

a$.$ What is the value of the test statistic $($to $2$ decimals$)?$

$H_0$:${}_1-{}_2=0$

$H_0$:${}_1-{}_{2}0$

The following results are from independent samples taken from two populations.

Sample $1$

$n_1=35$

${\stackrel{}{x}}_1=13\mathrm{.}6$

$s_1=5\mathrm{.}8$

Sample $2$

$n_2=40\frac{?}{b}$

$ar({)}_2=10\mathrm{.}1$

$8_2=8\mathrm{.}3$

b$.$ What is the degrees of freedom for the $t$ distribution $($round the answer to the previous whole number$)?$

C$.$ What is the $p-$value? Use Table $2$ from Appendix $B.$

The area in the upper tail is between $0\mathrm{.}01$ and ; two$-$tailed $p-$value is between $0\mathrm{.}02$ and $0\mathrm{.}05v.$

d$.$ At $=0\mathrm{.}05,$ what is your conclusion?

p$-$value is