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10) (16 points) Refer to the data table, which shows the amount of nicotine (mg per cigarette) in king- size cigarettes, 100mm menthol cigarettes, and 100-mm non-menthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm non-menthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean and amount of nicotine. (Remember to all 4 parts in a significance test) King Size Nicotine (mg) 1.3 1.1 1.1 1.3 1.4 1 1.3 1 1.3 1.2 100-mm Menthol (mg) 1.2 1.1 1.1 .9 .8 1.2 1.2 1.1 1.3 9 100-mm Non-menthol (mg) .6 1 .4 1.2 .7 1.1 1.2 .9 1.1 1.1

Answer 1

For the given data using Anova single factor in Excel we get output as

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
king	10	12	1.2	0.02
menthol	10	10.8	1.08	0.026222222
non menthol	10	9.3	0.93	0.075666667
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	0.366	2	0.183	4.504102097	0.020511	3.354131
Within Groups	1.097	27	0.04063
Total	1.463	29

Null hypothesis (Ho): Eld, Elis Abdesnative hypothesis (Ha): Not all the are equal. Test statistic means 0.18 4.5oul FO Ms 6/6 MS within :f = 9.504 = F = 4.50 Critical value: At a=0.0s loos, df = (2,27) IF-CV: 3.354 Decision: feal> far i.e., 4.50 > 3.354 So reject Ho conclusion: Al x=oos (o's there is enough evidence to claim that the three categories of cigarettes yield the same mean and amound nicotine. of