Three groups of six guinea pigs each were injected, respectively, with 0.5 milligram, 1.0 milligram, and 1.5 milligrams of a new tranquilizer, and the following are the numbers of minutes it took them to fall asleep:

Test at the 0.05 level of significance whether the null hypothesis that differences in dosage have no effect can be rejected. Also, estimate the parameters µ, α1, α2, and α3 of the model used in the analysis.

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0.5 mg 10mg 1.5 mg 21, 23, 19, 24, 25, 23 19,21, 20, 18, 22, 20 15, 10, 13, 14. 11, 15