A Statistician Performs a Mann-Whitney Test to Compare the Means $\mu _ { 1 }$

question 87

Essay

A statistician performs a Mann-Whitney test to compare the means of two populations using independent simple random samples. Suppose that the sum of the ranks for sample 1 is much larger than the sum of the ranks for sample 2 . Explain in your own words what this suggests about the relationship between $\mu _ { 1 }$ and $\mu _ { 2 }$ .

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Definitions:

Intelligence

The ability to learn from experience, solve problems, and use knowledge to adapt to new situations.

Partially Heritable

Traits or characteristics that are influenced by both genetic factors and environmental conditions.

Heritability Estimates

Quantitative measures of the extent to which genetic factors contribute to individual differences in a trait or behavior within a given population.

Intellectual Differences

Variations in cognitive abilities and processing among individuals.