I'm finding it difficult to solve this question, looking for some help:

I know how to do a statistic test, but to do that I would need x-barSuppose we want to test H_{0}: μ = 50 against H_{a}: μ > 50, at a significance level of α = 0.0505 based on a random sample of 40. What is the probability of a type II error when μ = 52 and s = 4.

I also know that a Type 2 Error is when you accept H_{0}when it is, in fact, false. So would this probability be the rejection region, on the right-tailed normal distribution chart? If so, how would I find it?

Also, I know that α = 0.0505 translates to z < 1.64