Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 6 - The Normal Distribution - 6-1 Normal Distribution - Exercises 6-1 - Page 323: 47

Answer

a. $-2.28$ b. $-0.92$ c. $-0.27$

Work Step by Step

a. 98.87% of the area under the distribution curve lies to the right of it. The area to the left would be $1-0.9887=0.0113$ which corresponds to a z value of $-2.28$ b. 82.12% of the area under the distribution curve lies to the right of it. The area to the left would be $1-0.8212=0.1788$ which corresponds to a z value of $-0.92$ c. 60.64% of the area under the distribution curve lies to the right of it. The area to the left would be $1-0.6064=0.3936$ which corresponds to a z value of $-0.27$
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