The appropriate test for comparing the means of two populations using ordinal-level data from two independent samples is the Mann-Whitney U test.

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The Mann-Whitney U test is a nonparametric test used for comparing the medians or central tendencies of two independent groups. It is commonly used when the data is measured on an ordinal or interval scale and is not normally distributed. Therefore, it is an appropriate test for comparing the means of two populations using ordinal-level data from two independent samples.

The Appropriate Test for Comparing the Means of Two Populations