Tar in Cigarettes Data Set 10 in Appendix: Data Sets includes the amounts of tar (mg per cigarette) in the king-size cigarettes, the 100-mm menthol cigarettes, and the 100-mm nonmenthol cigarettes. Please check the changes throughout. 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 20 22 Menthol 16 13 16 16 9 14 13 12 14 14 13 18 9 19 2 13 14 14 15 16 19 36 One Hundred 5 16 17 13 13 14 15 15 15 9 13 13 16 13 6 8 13 13 13 15 2 15 15 13 14 15 16 15 7 17 15