Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 6 - Normal Probability Distributions - 6-5 The Central Limit Theorem - Basic Skills and Concepts: 1

Answer

In the distribution, mean is $\mu$ and the standard deviation is $\frac{\sigma}{\sqrt n}=\frac{\sigma}{\sqrt {40}}$.

Work Step by Step

The number of students (40) is at least 30, therefore by the Central Limit Theorem the distribution of the mean ages is basically a normal distribution, where the mean is $\mu$ and the standard deviation is $\frac{\sigma}{\sqrt n}=\frac{\sigma}{\sqrt {40}}$.
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