Question: Suppose that the mean nicotine content of a particular brand of cigarettes is 25 milligrams. A new manufacturing process is developed for decreasing the nicotine content. A sample of 16 cigarettes produced by the new process yields a mean of 22 milligrams ( \(\bar{X}\) = 22) and a standard deviation of 6 milligrams (S = 6). Has the new manufacturing process reduced the nicotine content of the cigarettes? Test at the .01 level.