Refer to the table below, which shows the amounts of nicotine (mg per cigarette) in king-size, 100 mm menthol, and 100 mm nonmenthol cigarettes

Refer to the table below, which shows the amounts of nicotine (mg per cigarette) in king-size, 100 mm menthol, and 100 mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100 mm menthol and the 100 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 king size cigarettes are not filtered, do the filters appear to make a difference?