Question

A physician wants to see whether there is an association between body mass index and diabetic status among her patients, so for one day she records the body mass index and the diabetic status of all patients who see her. She sees 15 patients without diabetes, whose body mass indices are 20.4, 22.1, 22.8, 23.8, 24.2, 25.0, 25.4, 25.9, 26.3, 27.8, 28.6, 30.2, 31.6, 34.1, 37.4. And she sees 10 patients with diabetes or pre-diabetes, whose body mass indices are 23.4, 27.5, 28.4, 30.5, 32.8, 34.3, 37.6, 39.2, 41.8, 43.3. Since body mass indices may not be normally distributed, she performs a rank sum test. What does she conclude ? (Although not necessary, you may use statistical software to help answer this question. I can assure you that full credit will not result from a copy and paste the software output. Interpretation in the context of the problem will be required

Answer 1

Solution :

Given that

To the  sees 15 patients without diabetes, whose body mass indices are 20.4, 22.1, 22.8, 23.8, 24.2, 25.0, 25.4, 25.9, 26.3, 27.8, 28.6, 30.2, 31.6, 34.1, 37.4. And she sees 10 patients with diabetes or pre-diabetes, whose body mass indices are 23.4, 27.5, 28.4, 30.5, 32.8, 34.3, 37.6, 39.2, 41.8, 43.3.

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