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?   a. Find the F test statistic. F= ​(Round to four decimal places as​ needed.)   b. Find the​ P-value using the F test statistic. ​P-value= ​(Round to four decimal places as​ needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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?

 

a. Find the F test statistic.
F=
​(Round to four decimal places as​ needed.)
 
b. Find the​ P-value using the F test statistic.
​P-value=
​(Round to four decimal places as​ needed.)
King-Size
Brand Nicotine (mg) Brand Nicotine (mg)
1
1
2
23456789
10
1.4
1.0
1.0
1.1
100-mm Menthol 100-mm Nonmenthol
Brand Nicotine (mg)
1
1.5
1.3
1.3
1.0
1.2
1.1
3
4
5
6
7
8
9
10
1.1
0.9
1.2
0.9
1.2
1.4
1.0
1.1
1.2
0.9
3
6
7
8
10
0.6
1.2
0.6
1.1
1.1
0.8
1.1
1.2
0.9
0.9
U
Transcribed Image Text:King-Size Brand Nicotine (mg) Brand Nicotine (mg) 1 1 2 23456789 10 1.4 1.0 1.0 1.1 100-mm Menthol 100-mm Nonmenthol Brand Nicotine (mg) 1 1.5 1.3 1.3 1.0 1.2 1.1 3 4 5 6 7 8 9 10 1.1 0.9 1.2 0.9 1.2 1.4 1.0 1.1 1.2 0.9 3 6 7 8 10 0.6 1.2 0.6 1.1 1.1 0.8 1.1 1.2 0.9 0.9 U
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