A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your​ tests, you find that a random sample of...

A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is

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

milligrams. Assume the population is normally distributed and the population standard deviation is

milligrams. At

can you reject the​ company's claim? Complete parts​ (a) through​ (e).

​(a) Identify

and

Choose the correct answer below.