Is this statement true or false: a) The central limit theorem holds only if our population follows a normal distribution. b) The central limit theorem allows us to estimate a range for the mean of a population based on one small sample with size n=5.   c) The means of simple random samples from a population follow a normal distribution.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Is this statement true or false:

a) The central limit theorem holds only if our population follows a normal distribution.

b) The central limit theorem allows us to estimate a range for the mean of a population based on one small sample with size n=5.  

c) The means of simple random samples from a population follow a normal distribution.

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