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# Sample means and the central limit theorem

AP.STATS: UNC‑3 (EU), UNC‑3.R (LO), UNC‑3.R.1 (EK), UNC‑3.R.2 (EK)

## Problem

The wingspans of a common species of housefly are normally distributed with a mean of 15, start text, m, m, end text and a standard deviation of 0, point, 5, start text, m, m, end text. Suppose that a biologist regularly collects random samples of 20 of these houseflies and calculates the sample mean wingspan from each sample.
What will be the shape of the sampling distribution of the sample mean wingspan?
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