The Ministry of Health is interested in determining whether the average nicotine content of regular, menthol, and filtered cigarettes for 16 different brands differ. The data from the sample is provided below. Regular 1.1 1.7 1.1 1.4 1.2 1.7 1.8 1.2 1.1 1.7 1.6 1.5 1.2 1.1 1.1 1.4 Menthol 1.1 0.8 1.0 0.9 0.8 0.8 0.7 0.7 0.9 0.6 1.3 1.2 0.6 0.7 1.1 0.5 Filtered 0.4 1.0 1.2 1.1 1.3
Question 2
The Ministry of Health is interested in determining whether the average nicotine content of regular, menthol, and filtered cigarettes for 16 different brands differ. The data from the sample is provided below.
|
Regular |
1.1 |
1.7 |
1.1 |
1.4 |
1.2 |
1.7 |
1.8 |
1.2 |
1.1 |
1.7 |
1.6 |
1.5 |
1.2 |
1.1 |
1.1 |
1.4 |
|
Menthol |
1.1 |
0.8 |
1.0 |
0.9 |
0.8 |
0.8 |
0.7 |
0.7 |
0.9 |
0.6 |
1.3 |
1.2 |
0.6 |
0.7 |
1.1 |
0.5 |
|
Filtered |
0.4 |
1.0 |
1.2 |
1.1 |
1.3 |
0.6 |
1.1 |
1.1 |
0.9 |
1.0 |
0.8 |
0.2 |
0.8 |
1.1 |
0.9 |
1.1 |
|
Source of Variation |
Sums of Squares |
df |
Mean Squares |
F |
|
Factors or Treatment |
*** |
*** |
*** |
*** |
|
Error |
*** |
*** |
*** |
|
|
Total |
*** |
*** |
1. Define the null and alternative hypothesis for the ANOVA model. And calculate the missing values for the ANOVA table above.
2. What is your conclusion for the ANOVA results?
3. If applicable, use the appropriate test to determine the average nicotine content which differs. In responding, construct and test any appropriate hypothesis.
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