Refer to Data Set 10 in Appendix B and use the amounts of nicotine (mg per cigarette) in the king-size cigarettes, the 100-mm menthol cigarettes, and the 100-mm non-menthol cigarettes. The king-size cigarettes are non-filtered, non-menthol, and non-light. The 100-mm menthol cigarettes are filtered and non-light. The 100-mm non-menthol cigarettes are filtered and non-light. 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 the king-size cigarettes are not filtered, do the filters appear to make a difference? Use analysis of variance for the indicated test.