Refer to the accompanying data table, which shows the amounts of nicotine (mg pe

Question

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 nonment 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? thol EA Click the icon to view the data table of the nicotine amounts. Determine the null and altemative hypotheses.

Explanation / Answer

a)

H0: 1 = 2 = 3

H1: 1 # 2 # 3 (j not all equal)

b)

F-STAT=3.46

c)

p-value=0.0458420044660736

d)

D) Reject H0. There is insufficient evidence to warrant rejection of the claim that the three categories of ciggaretes yield the same mean amount of nicotine.

e)

Given that the king-size cigarettes have the largest mean, it appears that the filters do make a difference.

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