Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0-32191-121-0
ISBN 13: 978-0-32191-121-6

Chapter 5 - Normal Probability Distributions - Review Exercises - Page 287: 43

Answer

Answer: $z = 0.51$

Work Step by Step

Want to find the z score that has 30.5% of its distribution to the right, i.e. $ P( z > ?) = 0.305$ 1) Find the cumulative area $P( z< ?) = 1 - 0.305$ = 0.695 2) Use the standard normal distribution to find the z-score that corresponds to a cumulative area of 0.695 $=$ 0.51 Therefore, 0.51 is the z score that has 30.5% of its distribution to the right
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