Kruskal-Wallis Test for Propellant Burning Rates In an experiment to determine which of three different missile systems is preferable, the propellant burning rate is measured. The data after coding are given in the table. Use Kruskal-Wallis test (significance level of 0.01) to test the hypothesis th
Kruskal-Wallis Test for Propellant Burning Rates
In an experiment to determine which of three different missile systems is preferable, the propellant burning rate is measured. The data after coding are given in the table. Use Kruskal-Wallis test (significance level of 0.01) to test the hypothesis that the propellant burning rates are same for three missile systems.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| Missile system I | 22.3 | 16.7 | 22.7 | 19.3 | 18.5 | ||
| Missile system II | 23.4 | 19.5 | 17.5 | 20.8 | 16.0 | 19.9 | |
| Missile system III | 18.4 | 19.5 | 17.8 | 18.0 | 19.6 | 22.8 | 17.1 |
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System I (n₁=5) System II (n₂=6) System III (n₃=7) ------------------------------------------------------ 22.3 23.4 18.4 16.7 19.5 19.5 22.7 17.5 17.8 19.3 20.8 18.0 18.5 16.0 19.6 19.9 22.8 17.1 Total $N = 5 + 6 + 7 = 18$ - $H0$: The propellant burning rates are the same for all three missile sy...