8. Suppose that you are to test Ho : / 2 31 against H1 : /

8. Suppose that you are to test 110 : 31 against 111 : < 31 on the basis of a random sample of size 64, and you know that = 5.6. (a) (10 points) If you set the rejection region to be X < 29.845, what is the level of significance of your test? (b) (10 points) Find a constant c such that the test X < c has a 4% level of significance.