Elementary Statistics (12th Edition)

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

Chapter 7 - Estimates and Sample Sizes - 7-4 Estimating a Population Standard Deviation or Variance - Basic Skills and Concepts - Page 369: 4

Answer

The standard deviation requires the distribution to be normal, even if the sample size is big.

Work Step by Step

The normality requirement for the mean requires the distribution to be normal or the sample size to be big, whereas the normality requirement for the standard deviation requires the distribution to be normal, even if the sample size is big.
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