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...

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

a. Define the null and alternative hypothesis for the ANOVA model.