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 nonfitered, 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. Nicotine amounts (mg) ..... Determine the null and alternative hypotheses. 100-mm Nonmenthol Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 0.3 King-Size 100-mm Menthol 1.7 1.0 1.0 1. 2. 3. 1.1 0.9 1.2 0.9 1.0 1.3 1. H, 12 1.2 0.5 1.2 1.0 3. Find the F test statistic. 4. 1.1 4 4 15 1.4 F- (Round to four decimal places as needed.) 5. 6. 6. 6. 7. 1.2 1.3 1.0 0.8 1.0 7 1.0 Find the P-value using the F test statistic. 8. 8. 9 10 1.1 8. 6. 10 1.1 P-value - (Round to four decimal places as needed.) 1.4 1.2 0.8 0.8 0.8 0.9 10 What is the conclusion for this hypothesis test? O A. 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 e O B. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amoun Print Done OC. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of ni OD. 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. Do the filters appear to make a difference?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine.
O B. 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 C. 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 D. Reject Hg. 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
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. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes.
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. No, the filters do not appear to make a difference because there is insufficient evidence to warrant rejection of the claim.
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 sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. O B. 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 C. 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 D. Reject Hg. 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 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. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes. 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. No, the filters do not appear to make a difference because there is insufficient evidence to warrant rejection of the claim.
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.
Nicotine amounts (mg)
.....
Determine the null and alternative hypotheses.
King-Size
100-mm Menthol
100-mm Nonmenthol O
Ho
Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg)
0.3
1.7
1.0
1.0
1.1
1.1
H:
2
3
0.9
1.2
0.9
1.0
1.3
2.
3
1.2
3
0.5
Find the F test statistic.
1.2
1.0
0.8
4
4
4
5
1.4
F= (Round to four decimal places as needed.)
1.2
6.
1.3
1.0
1.0
Find the P-value using the F test statistic.
1.0
1.4
1.1
1.1
9
0.8
0.8
P-value = (Round to four decimal places as needed.)
10
1.2
10
0.8
10
0.9
What is the conclusion for this hypothesis test?
A. Fail to reject Hg. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount
OB. Fail to reject Hg. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amoun
Print
Done
OC. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nic
OD. 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.
Do the filters appear to make a difference?
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. Nicotine amounts (mg) ..... Determine the null and alternative hypotheses. King-Size 100-mm Menthol 100-mm Nonmenthol O Ho Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 0.3 1.7 1.0 1.0 1.1 1.1 H: 2 3 0.9 1.2 0.9 1.0 1.3 2. 3 1.2 3 0.5 Find the F test statistic. 1.2 1.0 0.8 4 4 4 5 1.4 F= (Round to four decimal places as needed.) 1.2 6. 1.3 1.0 1.0 Find the P-value using the F test statistic. 1.0 1.4 1.1 1.1 9 0.8 0.8 P-value = (Round to four decimal places as needed.) 10 1.2 10 0.8 10 0.9 What is the conclusion for this hypothesis test? A. Fail to reject Hg. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount OB. Fail to reject Hg. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amoun Print Done OC. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nic OD. 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. Do the filters appear to make a difference?
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