Refer to the accompanying datatable, which shows the amounts of nicotine(mg percigarette) inking-size cigarettes,100-mm mentholcigarettes, and100-mm nonmenthol cigarettes. Theking-size cigarettes arenonfiltered, while the100-mm menthol cigarettes and the100-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 theking-size cigarettes are notfiltered, do the filters appear to make adifference?

King-Size

Brand Nicotine

1 1.6

2 1.1

3 1.0

4 1.2

5 1.5

6 1.1

7 1.1

8 1.0

9 1.2

10 1.1

100-mm Menthol

Brand Nicotine

1 0.8

2 1.0

3 1.2

4 0.8

5 1.0

6 1.4

7 0.9

8 1.2

9 1.2

10 0.8

100-mm Nonmenthol

Brand Nicotine

1 0.6

2 1.2

3 0.6

4 1.2

5 1.1

6 0.8

7 1.0

8 1.1

9 0.9

10 1.1

Determine the null and alternative hypotheses.

H0 and H1

Possible Answers

A. Not all of the population means are equal

B. At least two of the population means are equal

C. Exactly two of the population means are equal

D. u1=u2=u3

E.u1>u2>u3

F.u1=/ u2=/ u3

Find the F test statistic.

F=

(Round to four decimal places asneeded.)

Find theP-value using the F test statistic.

P-value=

(Round to four decimal places asneeded.)

What is the conclusion for this hypothesistest?

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.

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.

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.

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.

Do the filters appear to make adifference?

A.

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

B.

Giventhattheking-sizecigaretteshavethelargestmean,itappearsthatthefiltersdo makeadifference(althoughthisconclusionisnot justifiedbytheresults from analysisofvariance).

C.

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

D.

No,thefiltersdonotappeartomakeadifferencebecausethereisinsufficient evidenceto warrantthe rejectionof theclaim.