A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 34.2 milligrams. Assume the population is normally distributed and the population standard deviation is 7.1 milligrams. At α=0.02, can you reject the company's claim?

a. Identify the H0 and the Ha.
b. Find the critical values.
c. Identify the rejection region