(1) Null and Alternative Hypotheses
The following null and alternative hypotheses need to be tested:
Ho: The samples come from populations with equal medians
Ha: The samples come from populations with medians that are not all equal
The above hypotheses will be tested using the Kruskal-Wallis test.
(2) Rejection Region
Based on the information provided, the significance level is α=0.02, and the number of degrees of freedom is df=3−1=2. Therefore, the rejection region for this Chi-Square test is R={χ^2:χ^2>7.824}.
(3) Test Statistics
Reject H0 if H >7.824
Computed H= 4.64
There is NOT Sufficient evidence that the mean weights of the turkeys are not same.
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