Thread: the probability of making a type II error CALCULATE BETA

You draw one observation from a normal distribution with known variance 1. You want to test if mu = 0.
a) Find c such that if you reject H0 when |x| > c, you get alfa to be 0.05.
b) With this rejection region, calculate beta (the probability of making a type II error) if the true value of mu is 0.2,
Answer in the form 3.54,0.64 using 2 decimals.


please help, don't understand without n ?

Thanks in advance

First of all, since you are rejecting the null with alpha=.05 the rejection region is



since

Now, when the MOO is .2 and variance is 1.

so you need to standardize appropriately...





I don't know what this '3.54,0.64' is