Elementary Statistics (12th Edition)

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

Chapter 6 - Normal Probability Distributions - 6-3 Applications of Normal Distributions - Basic Skills and Concepts: 15

Answer

0.4972

Work Step by Step

$z_1=\frac{value-mean}{standard \ deviation}=\frac{110-100}{15}=0.667.$ $z_2=\frac{value-mean}{standard \ deviation}=\frac{90-100}{15}=-0.667.$ Using the table, the value belonging to 0.667: 0.7486, the value belonging to -0.667: 0.2514. 0.7486-0.2514=0.4972.
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