Answer Happy

4. Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes 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 the king-size cigarettes are not filtered, do the filters appear to make a difference? Click the icon to view the dala table of the nicotine amounts. Determine the null and alternative hypotheses Ho: (1) H: (2) Find the F test statistic F= (Round to four decimal places as needed.) Find the P-value using the Flest statistic. P.value (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. OB. Fail to reject Hp. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. OC. Fail to reject Ho - There insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. OD. Reject Ho. There is insufficient evidence to warrant rejection of the daim that the three categories of cigarettes yield the same mean amount of nicotine. Do the filters appear to make a difference? OA. No, filters do not appear to make a difference because there is insufficient evidence to warrant the rejection of the claim. OB. Given that the king-size cigarettes have the largest mean, It appears that the filters do make a difference (although this conclusion is not justified by the results from analysis of varlance) OC. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim. OD. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes

1: Nicotine amounts (mg) King-Size 100-mm Menthol 100-mm Nonmenthol Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 1 1.1 1 1.1 1 1.1 2 1.1 2 0.9 2 1.2 3 1.0 3 1.2 3 0.5 4 1.1 4 0.9 4 1.2 5 1.5 1.3 5 1.0 6 1.3 1.3 6 0.8 7 1.1 0.9 7 1.1 8 1.0 1.2 8 1.1 9 1.2 0.8 9 0.8 10 1.2 10 0.9 10 0.9 + 100 000 Not all of the population means are equal. At least two of the population means are equal. (1) O M1 = P2 = 443 My * U2 * 43 Exactly two of the population means are equal. My > U2 > H3 Exactly one of the three population means is different from the others. (2) O Hy > 42 >13 My > 42 > M3 My = U2 = 43 At least one of the three population means is different from the others.