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Data were collected from three populations using a completely randomized design. The following describes the sample data: n1

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sample size ni sum of ranks ∑Ri (∑Ri)2/ni
sample 1 6 55 504.17
sample 2 6 64 682.67
sample 3 6 78 1014.00
total N = 18 total = ∑(∑Ri)2/ni = 2200.83
test stast:H= 20.222

we find the statistics to be equal to 20.222

because H-test is greater than 5.991

Conducting the hypothesis to verify whether there is at least one inequality in the probability distributions. we find find the statistics to be equal to 20.222 . We therefore reject the null hypothesis of equality because H-test is greater than 5.991 which is the rejection region for the test at alpha 0.05.

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