The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 18 - Inference in Practice - Apply Your Knowledge - Page 419: 18.2b

Answer

See below.

Work Step by Step

The sample size is large (at least $30$) thus according to the Central Limit Theorem, the sampling distribution of the sampling mean is approximately normal. Thus, although the population distribution is heavily skewed, the sampling distribution of the sampling mean is approximately normal.
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