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

Use the H test at the 0.01 level of significance to test the null hypothesis that the differences in dosage have no effect on the length of time it takes guinea pigs to fall asleep.

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0.5-mg dose: 8.2 10.0 10.2 13.7 14.0 7.8 12.7 10.9 1.0-mg dose: 9.7 13.1 110 75 13.3 12.5 8.8 12.9 7.9 105 1.5-mg dose: 2.0 7.2 8.0 94 13 9.0 115 85