Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 3 - Section 3.2 - Assess Your Understanding - Applying the Concepts - Page 153: 24e

Answer

16% of eruptions last less than 98 seconds.

Work Step by Step

Using the Empirical rule, we have: x̅ - 1s = 104 - 6.249 ≈ 98 x̅ + 1s = 104 + 6.249 ≈ 110 Hence, 68% of eruptions last between 98 and 110 seconds, according to the Empirical Rule. Therefore, $100 - 68 = 32\%$ of eruptions last less than 98 and more than 110 seconds. Hence, $32\div 2 = 16\%$ of eruptions last less than 98 seconds.
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