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 the100-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:H:i Nicotine amounts (mg)100-mm NonmentholKing-SizeBrand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg)100-mm Menthol11.711.40.41.00.921.11.01.130.541.240.841.21.51.21.11.21.40.71.30.91.18.1.081.18.1.29.1.49.1.39.0.8101.1100.8101.1PrintDone Determine the null and alternative hypotheses.Ho: H1 =H2 = H3H: At least one of the three population means is different from the others.Find the F test statistic.F = 3.3663 (Round to four decimal places as needed.)Find the P-value using the F test statistic.P-value = 0.0495 (Round to four decimal places as needed.)%3DWhat is the conclusion for this hypothesis test?A. 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.O B. 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.C. 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?A. No, the filters do not appear to make a difference becau there is insufficient evidence to warrant rejection of the claim.B. 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).C. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes.O D. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim.

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Description: 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 cig

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Transcribed Image Text: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: H: i Nicotine amounts (mg) 100-mm Nonmenthol King-Size Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 100-mm Menthol 1 1.7 1 1.4 0.4 1.0 0.9 2 1.1 1.0 1.1 3 0.5 4 1.2 4 0.8 4 1.2 1.5 1.2 1.1 1.2 1.4 0.7 1.3 0.9 1.1 8. 1.0 8 1.1 8. 1.2 9. 1.4 9. 1.3 9. 0.8 10 1.1 10 0.8 10 1.1 Print Done

Determine the null and alternative hypotheses.
Ho: H1 =H2 = H3
H: At least one of the three population means is different from the others.
Find the F test statistic.
F = 3.3663 (Round to four decimal places as needed.)
Find the P-value using the F test statistic.
P-value = 0.0495 (Round to four decimal places as needed.)
%3D
What is the conclusion for this hypothesis test?
A. 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.
O B. 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.
C. 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?
A. No, the filters do not appear to make a difference becau there is insufficient evidence to warrant rejection of the claim.
B. 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).
C. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes.
O D. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim.

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