A tobacco company advertises that the average nicotine content of its cigarettes is 14 milligrams. A consumer protection agency wants to determine whether the average nicotine content is in fact greater than 14. A random sample of 300 cigarettes of the company brand yield an average nicotine content of 14.6 and a standard deviation of 3.8 milligrams. Determine the agency's claim that is greater than 14 given that = 0.05