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Exercise 2: The U.S. Center for Disease Control (CDC) collects anthropometric (w

ID: 3072049 • Letter: E

Question

Exercise 2: The U.S. Center for Disease Control (CDC) collects anthropometric (weight, height etc.) data on large samples of US youth, both male and female, and uses these data to create growth charts, which essentially characterize the distributions of these measures by age and sex. For example, for 18 years old males, the mean body mass index (BMI) is 21.9 (kg/m2) with a standard deviation (SD) of 3.2 (kg/m). Physicians (and patients) can use these data to figure out how individual BMI values compare relative to the age and sex specific distribution. Suppose you are a physician and you are screening patients at a health fair. The following describes some of the men you have screened. You may assume the distribution of BMI values for 18 year-old males is a normal distribution. 17. Not surprisingly, perhaps, the actual distribution of BMI values among 18 year old males is right skewed (slightly, not heavily so). Given this fact, what additional summary statistics would be necessary to properly estimate the interval 95% value of BMI in population of 18 year lod males lies in (15.628, 28.172)

Explanation / Answer

Question 17

It is better to have median as the additional summary statistics to define the median value of the population.