Refer to the accompanying datatable, which shows the amounts of nicotine(mg percigarette) inking-size cigarettes,100-mm mentholcigarettes, and100-mm nonmenthol cigarettes. Theking-size cigarettes arenonfiltered, while the100-mm menthol cigarettes and the100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only theking-size cigarettes are notfiltered, do the filters appear to make adifference?

Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 1.8 0.9 0.5 1.2 1.0 1.0 1.0 1.2 0.6 1.2 0.8 1.1 COO NO UI A W N - 1.5 1.2 CO VO UA W N - 1.1 1.3 1.3 0.7 1.1 1.0 1.0 1.0 1.2 1.1 1.2 1.2 0.8 10 1.1 10 0.8 10 0.9King-Size 100-mm Menthol 100-mm Nonmenthol Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 1.8 0.9 0.5 2 1.2 2 1.0 2 1.0 1.0 1.2 0.6