In: Statistics and Probability
3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)μ. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but measurementson a random sample of 100 cigarettes of this brand gave a mean of ̄x= 1.53 and standard deviations= 0.1. Is there sufficient evidence in the sample to suggest that the mean nicotine content is actuallyhigher than advertised? Useα= 0.05. (Hint: follow the steps: 1) setH0andHa; 2) set the rejectionregion; 3) compute the test statistic; 4) make decision based on the test statistic.) (15 pts.)