Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 6 - Section 6.2 - Assess Your Understanding - Explaining the Concepts - Page 346: 61

Answer

When the probability distribution is approximately bell shaped. And, given that the distribution is bell shaped, approximately 95% of all observations will be between $μ-2σ$ and $μ+2σ$. So, if a result is more than 2 standard deviations of the mean or less than 2 standard deviations of the mean, it is an unusual event.

Work Step by Step

We must have $np(1-p)\geq10$ in order for the probability distribution to become approximately bell shaped.
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