A tobacco company advertises that the average nicotine content of its cigarettes is at most 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's brand yield an average nicotine content of 14.6 and a standard deviation of 3.8 milligrams. Determine the level of ignificance of the statistical test of the agency's claim that µ is greater than 14. If a = .01, is there significant evidence that the agency's claim has been supported by the data?