Refer to data table below, which shows the amounts of nicotine (mg per cigarette) in king size, 100mm menthol, and 100mm nonmenthol cigarettes

Refer to data table below, which shows the amounts of nicotine (mg per cigarette) in king size, 100mm menthol, and 100mm nonmenthol cigarettes. The king size cigarettes are nonfiltered, while the 100mm menthol and the 100mm nonmenthol cigarettes are filtered. Use a 0.05 significance level ot test the claim that 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?
King Size Menthol Filtered 100mm Nonmenthold
Brand Nicotine Brand Nicotine Brand Nicotine
1 1.6 1 1.1 1 0.7
2 1.0 2 0.9 2 1.1
3 1.0 3 1.1 3 0.5
4 1.1 4 0.8 4 1.1
5 1.5 5 1.2 5 1.1
6 1.3 6 1.4 6 0.8
7 1.2 7 1.0 7 1.1
8 1.0 8 1.2 8 1.2
9 1.2 9 1.4 9 0.8
10 1.1 10 0.9 10 1.0
Do the filters appear to make a difference?
a The results are inconclusive because the king size cigarettes are a different size than the filtered cigarettes.
b No, the filters do not appear to make a difference because there is insufficient evidence to warrant the rejection of the claim.
c No, the filters do not appear to make a difference because there is sufficient evidence to warrant the rejection of the claim.
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).

View all questions : Click HERE