The problem is to test, based on the level of mercury, whether the two batches, X and Y, originated from the same catch. The statistical method used to perform this kind of test is the Mann-Whitney U-test.
Mann-Whitney U-test is used to compare whether two independent samples have been drawn from a population with the same characteristics. And it is used only when there are two samples to compare. In case there are two independent samples, Kruskal-Wallis test is used to investigate whether the samples were drawn from the population with similar characteristics.
The following steps would be followed when doing a Mann-Whitney u-test:
- Levels of mercury content in ...