Question: A cigarette manufacturer claims that the mean nicotine content of its cigarettes is \(1.50 \mathrm{mg}\). A random sample of 20 cigarettes is selected, and the mean nicotine content is found to be \(1.83 \mathrm{mg}\). We assume the standard deviation of nicotine content is \(0.80 \mathrm{mg}\) for the population of all cigarettes produced by this particular company. In an effort to see if the cigarette manufacturer is being honest about the nicotine content, use the 0.05 level of significance to determine whether there is significant evidence that the average nicotine content is higher than they claim.

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