An addictions researcher was curious about which drug was hardest to quit: alcohol, cigarettes, or heroin. She obtained samples of alcoholics, smokers, and heroin addicts who were in treatment for the second time and found out how long they had remained abstinent, in months, after their first treatment. The mean time to relapse for the 8 alcoholics was 4.63 months; for the 11 smokers, it was 4.91 months; for the 6 heroin addicts, it was 5.17 months. Given the ANOVA summary table below, r²= 0.66%, and HSD = 3.83, complete a four-point interpretation of the results using α = .05.

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Mean Source of Sum of Degrees of Variability Squares Square ratio Freedom Between 1.02 2 0.51 0.07 groups Within 153.62 22 6.98 groups Total 154.64 24