A paired difference experiment yielded $\mathrm { n } _ { \mathrm { d } }$ pairs of observations. For the given case, what is the rejection region for testing $\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 9$ against $\mathrm { Ha } ^ { \mathrm { a } } \mu _ { \mathrm { d } } > 9$ ?
$\mathrm { n } _ { \mathrm { d } } = 12 , \alpha = 0.01$

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 } } = 9

against

\mathrm { Ha } ^ { \mathrm { a } } \mu _ { \mathrm { d } } > 9

?

\mathrm { n } _ { \mathrm { d } } = 12 , \alpha = 0.01

Quizplus · Accepted Answer

The rejection region for a one-tailed test where $\mu_d > 9$ at $\alpha = 0.01$ with $n_d = 12$ (degrees of freedom = 11) is determined by the critical t-value for $\alpha = 0.01$. The correct critical value for a one-tailed test with these parameters is $t > 2.718$, indicating that any t-statistic greater than 2.718 leads to rejection of the null hypothesis.

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

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