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?

King-Size 100-mm Menthol 100-mm Nonmenthol Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 1.4 0.9 0.5 1.2 1.0 1.1 1.0 1.1 0.5 1.1 0.8 1.2 CO NO UA W N- 1.5 1.0 CO NO U A W N- 1.1 1.1 1.3 0.8 1.3 1.0 1.0 1.0 1.2 1.1 1.3 0.9 0.910 1.2 10 0.8 10