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A researcher published the results of a study carried out with 396 children comparing the number of words spoken in one (same) day by 2-year-olds

A researcher published the results of a study carried out with 396 children comparing the number of words spoken in one (same) day by 2-year-olds and 4-year-olds. What statistical test was used to analyze this data?

Name of correct statistical test:
Why is this test correct?

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