Question #17

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?

View the data table of the nicotine amounts.

Nicotine amounts (mg)

King-Size		100-mm Menthol		100-mm Nonmenthol
Brand	Nicotine (mg)		Brand	Nicotine (mg)		Brand	Nicotine (mg)
1	1.4		1	1.3		1	0.3
2	1.1		2	0.9		2	1.1
3	1.0		3	1.1		3	0.5
4	1.2		4	0.9		4	1.1
5	1.5		5	1.0		5	1.1
6	1.1		6	1.4		6	0.8
7	1.1		7	0.9		7	1.0
8	1.0		8	1.1		8	1.2
9	1.3		9	1.2		9	0.8
10	1.1		10	0.8		10	1.0

Find the F test statistic.

F= ________ (Round to four decimal places as needed.)

Find the P-value using the F test statistic.

P-value= _________ (Round to four decimal places as needed.)

What is the conclusion for this hypothesis test?

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

B. Failtoreject H₀. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine.

C. Failtoreject H₀. 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 H₀. There is sufficient 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. Giventhattheking sizecigaretteshavethelargestmean,itappearsthatthefiltersdo makeadifference(althoughthisconclusionisnot justifiedbytheresults from analysisofvariance).

B. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes.

C.No,thefiltersdonotappeartomakeadifferencebecausethereisinsufficient evidenceto warrant rejectionof theclaim.

D. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim.