A paired difference experiment yielded $\mathrm { n } _ { \mathrm { d } }$ pairs of observations. For the given case, what is the rejection region for testing $\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 15$ against Ha: $\mu _ { \mathrm { d } } < 15$ ?

$\mathrm { n } _ { \mathrm { d } } = 21 , \alpha = 0.05$

Question

A paired difference experiment yielded

\mathrm { n } _ { \mathrm { d } }

pairs of observations. For the given case, what is the rejection region for testing

\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 15

against Ha:

\mu _ { \mathrm { d } } < 15

?

\mathrm { n } _ { \mathrm { d } } = 21 , \alpha = 0.05

$\mathrm { n } _ { \mathrm { d } } = 21 , \alpha = 0.05$

A) $t < - 1.721$
B) $t < 2.086$
C) $\mathrm { t } < 1.725$
D) $\mathrm { t } < - 1.725$

Quizplus · Accepted Answer

The rejection region for a left-tailed test with $\alpha = 0.05$ and $\mathrm { n } _ { \mathrm { d } } = 21$ is $\mathrm { t } < - 1.725$.

A Paired Difference Experiment Yielded nd\mathrm { n } _ { \mathrm { d } }nd​