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? E Click the icon to view the data table of the nicotine amounts. 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? O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount nicotine O B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount nicotine. O D. Reject Ho. 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 a difference? O A. 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). O B. No, the filters do not appear to make a difference because there is insufficient evidence t warrant rejection of the claim. O C. No, the filters do not appear to make a difference because there is sufficient evidence t warrant rejection of the claim. O D. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes.

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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?
E Click the icon to view the data table of the nicotine amounts.
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?
O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine.
O B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine.
O C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine.
O D. Reject Ho. 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 a difference?
O A. 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).
O B. No, the filters do not appear to make a difference because there is insufficient evidence to warrant rejection of the claim.
O c. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim.
O D. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes.
Transcribed Image Text: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? E Click the icon to view the data table of the nicotine amounts. 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? O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. O B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. O C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. O D. Reject Ho. 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 a difference? O A. 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). O B. No, the filters do not appear to make a difference because there is insufficient evidence to warrant rejection of the claim. O c. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim. O D. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes.
King-Size
Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg)
100-mm Menthol
100-mm Nonmenthol
TITT
1
1.6
1
0.8
1
0.4
2
1.0
2
1.0
2
1.2
3
1.0
3
1.1
3
0.4
4
1.1
4
0.8
4
1.1
1.4
1.0
5
1.1
6
1.3
1.3
6
0.8
1.2
0.9
7
1.0
8
1.0
8.
1.2
8
1.2
1.4
1.3
0.9
10
1.1
10
0.8
10
0.9
Transcribed Image Text:King-Size Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 100-mm Menthol 100-mm Nonmenthol TITT 1 1.6 1 0.8 1 0.4 2 1.0 2 1.0 2 1.2 3 1.0 3 1.1 3 0.4 4 1.1 4 0.8 4 1.1 1.4 1.0 5 1.1 6 1.3 1.3 6 0.8 1.2 0.9 7 1.0 8 1.0 8. 1.2 8 1.2 1.4 1.3 0.9 10 1.1 10 0.8 10 0.9
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