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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 data table of the nicotine amounts. Determine the null and alternative hypotheses. Ho: H1: Find the F test statistic. F=(Round to four decimal places as needed.) Find the P-value using the F test statistic. P-value =(Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. O B. 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. O C. Fail to 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. D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. Do the filters appear to make a difference? O A. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes. O B. No, the filters do not appear to make a difference because there is insufficient evidence to warrant rejection of the claim. O C. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim. O D. 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 variance).King-Size 100-mm 100-mm Menthol Nonmenthol Brand Nicotine Brand Nicotine Brand Nicotine (mg) (mg) (mg) 1.7 1.1 0.6 1.2 1.0 2 1.1 1.0 1.1 0.4 1.2 0.8 1.1 1.5 1.3 1.0 1.1 1.4 0.7 1.2 1.0 1.1 1.0 1.2 1.2 10 (0 0 N O) UA W N - (0 0 0) 01 4 0 1.1 0.9 0.9 1.1 10 0.9 10