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Do you think that it is more appropriate to conduct an F-test or a Kruskal-Wallis test to determine if BMI is different for at least

Do you think that it is more appropriate to conduct an F-test or a Kruskal-Wallis test to determine if BMI is different for at least one of the five categories of health status (PHSTAT_A)? Why do you think that this is the correct test

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