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Course: AP??/College Statistics?>?Unit 9
Lesson 2: The central limit theoremSample means and the central limit theorem
Problem
The wingspans of a common species of housefly are normally distributed with a mean of and a standard deviation of . Suppose that a biologist regularly collects random samples of 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?