Consider a population distributed according to a normal law with mean mu and standard deviation equal to $5.$

We want to test:

H$0$:mu$=22$ against

H$1$:mu$=25.$

We also have a sample of size $25$ taken from this population and we apply the following decision rule: Accept H$0$ if Xbar $<=24$ and reject if Xbar$>24,$

where Xbar is the sample mean.

Calculate alpha and beta?