0
$\begingroup$

conduct a test hypothesis to show that it takes longer for people with average fitness to successfully complete physical therapy as compared to those with above average physical fitness. Test at $\alpha$=0.01 level of significance. here $\mu_2$=average fitness,$\mu_3$=above average physical fitness.

in my view

null hypothesis $H_0$:$\mu_2$>$\mu_3$ alternative hypothesis $H_1$:$\mu_2$$\ngtr$$\mu_3$

am i right?

$\endgroup$
  • 3
    $\begingroup$ Is this a homework question or self-study question? If so, it should be tagged accordingly. $\endgroup$ – StatsStudent Feb 26 '15 at 5:58
0
$\begingroup$

I think the null hypothesis represents the "skeptical choice". In this problem the skeptical choice is to assume that average fitness does not affect the physical therapy time.

Hence, I would cast this problem as a hypothesis test on the difference of two means.

$H_0: \mu_2 - \mu_3 = 0$ and $H_1: \mu_2 - \mu_3 > 0$

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.