for the first part I identified the critical region as C={{(x_1,...,x_n)}= \bar{x} > 63.3}. I'm not really sure how to find the power using this. I tried:
Power=P(reject H_0| H_0 is false)
=P(\bar x > 63.3| \mu >60)
but then I get stuck. I'm not sure how to pivot here (if I can?).
And then we've never talked about power functions in lecture, and the text book was very vague on the subject. If someone could enlighten me, that would be terrific.