Originally Posted by

**agoelz13** Umm... ok I think I need the in-depth explanation because unfortunately that formula as well as the other examples I've found aren't making sense to me... perhaps it would be easier to explain with a problem?:

You have an SRS of size n= 9 from a normal distribution with $\displaystyle \sigma = 1$. You wish to test

$\displaystyle \, H_O \,: \mu = 0

$

$\displaystyle \, H_O\,: \mu > 0

$

You decide to reject $\displaystyle \,H_O\,$ if $\displaystyle \bar{x} > 0$ and to accept $\displaystyle \,H_O\,$ otherwise.

(a) Find the probability of a type 1 error

(b) Find the probability of a type 2 error when $\displaystyle \mu = 0.3$

(c) Find the probability of a type 2 error when $\displaystyle \mu = 1$