A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 50 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 47.6 milligrams with a standard deviation of 7 milligrams. At α=0.05, can you reject the company's claim?

(a) Identify H0 and Ha.