A tobacco company advertises that the average nicotine content of its cigarettes is at most 14 milligrams.

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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 yields an average nicotine content of 14.6 milligrams and a standard deviation of 3.8 milligrams. Deter-mine the level of significance 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?
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