Chapter $10$ Assignment

Consider the following hypothesis test.

Consider the following hypothesis test.

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

$H_3$:${}_1-{}_2>0$

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

Sample $1$ Sample $2$

$n_1=40,n_2=55\frac{?}{b}$

$ar({}_1)=26\mathrm{.}0\frac{,}{b}ar(T{)}_2=23\mathrm{.}4$

${}_1=5\mathrm{.}4,{}_2=6\mathrm{.}0$

Sample $1$

Sample $2$

$n_2=55\frac{?}{b}$

$ar({)}_2=23\mathrm{.}4$

${}_2=6\mathrm{.}0$

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

b$.$ What is the $p-$value $($round to $4$ decimals$)?$ Use $z-$value rounded to $2$ decimal places.

$0\mathrm{.}0456$

c$.$ With $=0\mathrm{.}05,$ what is your hypothesis testing conclusion?

$p-$value is less than or equal to $0\mathrm{.}05,$ reject $v.H_0$