4. Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes,

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4 Refer To The Accompanying Data Table Which Shows The Amounts Of Nicotine Mg Per Cigarette In King Size Cigarettes 1 (171.49 KiB) Viewed 23 times

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 data 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 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 Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories cigarettes yield the same mean amount of nicotine OB. 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. OC. 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. OD. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories cigarettes yield the same mean amount of nicotine. Do the filters appear to make a difference? O A No, the 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 variance). OC. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim. D. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes.

1: Nicotine amounts (mg) W N King-Size Brand Nicotine (mg) 1 1.1 2 1.1 3 1.0 4 1.1 5 1.5 6 1.3 7 1.1 8 1.0 9 1.2 10 1.2 100-mm Menthol 100-mm Nonmenthol Brand Nicotine (mg) Brand Nicotine (mg) 1 1.1 1 1.1 2 0.9 2 1.2 3 1.2 3 0.5 4 0.9 4 1.2 5 1.3 5 1.0 6 1.3 6 0.8 7 0.9 7 8 1.2 8 1.1 9 0.8 9 0.8 0.9 10 0.9 1.1 o 600 Voor 10 Not all of the population means are equal. At least two of the population means are equal. (1) O My = 42 = 43 My * U2 uz Exactly two of the population means are equal. My > H2> H3 Exactly one of the three population means is different from the others. (2) O My > H2>H3 My > M2 > 43 Hly = M2 M3 At least one of the three population means is different from the others.