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 54 milligrams. Assume the population is normally distributed and the population standard deviation is 6.7 milligrams. At α = 0.01, can you reject the company's claim? Show all necessary work.

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