The average zinc concentration from a river is claimed to be more than 5 grams per milliliter and the standard deviation of the zinc concentration from the river is assumed to be = 0.3 grams per milliliter. To test H0: = 5 versus H1: > 5 with a random sample of size 36, a rejection region is defined as x>5.1.

a.(4) Find , the type I error probabilityfor the test.

b.(4) Find , the type II error probability and the power of the test if the true mean zinc concentration in the river is 5.15 grams per milliliter