Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthoi 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? m Click the icon to view the data table of the nicotine amounts Nicotine amounts (mg) Determine the null and alternative hypotheses 100-mm Nonmenthol o King-Size Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) Ho H #2 #3 100-mm Menthol H, At least one of the three population means is different trom the others. 1. 0.8 10 1.3 11 2. 2. 3. 11 10 Find the F test statistic 1.0 11 04 08 1.3 11 1.1 F=(Round to four decimal places as needed) 15 1.1 07 10 12 11 6 11 10 1.3 09 1.2 8 8. 13 9 10 0.9 11 09 10 1.1 10 11

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 fillered Use a 0.05
significance level to test the daim 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?
A Click the icon to view the data table of the nicotine amounts
Nicotine amounts (mg)
Determine the null and alternative hypotheses
100-mm Nonmenthol o
King-Size
Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg)
100-mm Menthol
H, At least one of the three population means is different from the others
11
1.0
0.8
10
2
3.
11
Find the F test statistic
1.0
11
04
08
1.3
11
4
1.1
F=(Round to four decimal places as needed)
1.5
5
1.1
11
1.3
07
1.1
7.
10
13
8
9
10
1.0
12
0.9
1.2
6.
10
11
1.1
09
10
1.1
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 fillered Use a 0.05 significance level to test the daim 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? A Click the icon to view the data table of the nicotine amounts Nicotine amounts (mg) Determine the null and alternative hypotheses 100-mm Nonmenthol o King-Size Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 100-mm Menthol H, At least one of the three population means is different from the others 11 1.0 0.8 10 2 3. 11 Find the F test statistic 1.0 11 04 08 1.3 11 4 1.1 F=(Round to four decimal places as needed) 1.5 5 1.1 11 1.3 07 1.1 7. 10 13 8 9 10 1.0 12 0.9 1.2 6. 10 11 1.1 09 10 1.1
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