# Econometrics Problem

Please see the attached document. Thank you.

1) We've collected a random same of 8,418 adults from the U.S. population in 2008 and calculated Body Mass Index (BMI). We found the Sample Mean [BMI(hat)] to be 27.7 with an estimated standard error of 0.21.

a) Provide an estimate for the underlying population distribution, showing how you could come to such a conclusion (i.e. explain with a few words or some basic math).

b) Using the distribution described in part a), compute the probability that an individual adult, randomly selected from the U.S. population, will have a BMI greater than or equal to 30 (i.e., calculate Pr(BMI ≥ 30).

c) Construct a 90% Confidence Interval for the mean BMI of the U.S. population (μ).

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#### Solution Preview

Please see the attachment.

1. We've collected a random same of 8,418 adults from the U.S. population in 2008 and calculated Body Mass Index (BMI). We found the Sample Mean [BMI (hat)] to be 27.7 with an estimated standard error of 0.21.

a. Provide an estimate for the underlying population distribution, showing how you could come to such a conclusion (i.e. explain with a few words or some basic math).

A distribution is the array, of values, which usually follow a given ...

#### Solution Summary

This solution offers an estimate for the underlying population distribution, showing how you could come to such a conclusion (i.e. explain with a few words or some basic math).