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) 1.8 1.2 0.7 1.1 1.0 1.2 1.0 1.1 0.5 1.1 0.9 1.1 0 NO) UI A W N- 1.5 0 0 NO) UA W N- 1.2 OO N O) UA W N- 1.1 1.2 1.3 0.7 1.1 0.9 1.1 1.0 1.2 1.2 1.3 1.3 8'0 10 1.1 10 8'0 10