In: Math
3. Tar in cigarettes: Listed below are amounts of tar (mg per cigarette) in sing size cigarettes. 100-mm menthol cigarettes, and 100-mm non menthol cigarettes. The king size cigarettes are nonfiltered, nonmenthol, and nonlight. The 100-mm menthol cigarettes are filtered and nonlight. The 100-mm nonmenthol cigarettes are filtered and nonlight. Use a .05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of tar. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference?
King 20 27 27 20 20 24 20 23 20 22 20 20 20 20 20 10 24 20 21 25 23 20 22 20 20
Menthol 16 13 16 9 14 13 12 14 14 13 13 16 13 13 18 9 19 2 13 14 14 15 16 6 8
One-Hundred 5 16 17 13 13 14 15 15 15 9 13 13 13 15 2 15 15 13 14 15 16 15 7 17 15