Question

please find p-value

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. Nicotine amounts (mg) Ho: H1 = H2 = H3 H: At least one of the three population means is different from the others, Find the F test statistic. 1 1 F= (Round to four decimal places as needed.) King-Size 100-mm Menthol 100-mm Nonmenthol Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 1.1 1 0.8 0.6 2 1.2 2 0.9 2 1.2 3 1.0 3 1.1 3 0.5 4 1.2 4 0.8 4 1.2 5 1.5 5 1.3 1.1 6 1.2 6 1.3 6 0.7 7 1.3 0.9 7 1.1 8 1.0 8 1.1 8 1.2 9 1.3 9 1.4 9 0.9 10 1.2 10 0.8 10 1.0 5 7 Print Done Enter your answer in the answer box and then click Check Answer. C 3 parts parts remaining Clear All Check Answer

Answer 1

Applying one way ANOVA from excel :data data analysis: one way ANOVA:

Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	0.3207	2.0000	0.1603	3.3071	0.0519	3.3541
Within Groups	1.3090	27.0000	0.0485
Total	1.6297	29.0000

F test statistic = 3.3071

critical value F_α =3.3541
p value =0.0519

fail to reject null hypothesis