Atobacco company advertises that the average 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 yields an average nicotine content of 14.6 milligrams and a standard deviation of 3.8 milligrams. determine the level of significance of the statistical test of the agency's claim that $\mu$ is greater than 14. if $\alpha