# what should be the null hypothesis?

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?

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

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