Data Set 10 in Appendix B includes the amounts of tar (mg per cigarette) in the king-size cigarettes, the 100-mm menthol cigarettes, and the 100-mm nonmenthol 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 0.05 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 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 Menthol One Hundred 5 16 17 13 13 4 5 15 15 9 13 13 13 15 2 15 15 13 14 15 16 15 7 17 15