Elementary Statistics (12th Edition)

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

Chapter 6 - Normal Probability Distributions - Review - Review Exercises - Page 316: 6


a) Doesn't seem to be good. b)75.092

Work Step by Step

a)$z=\frac{value-mean}{standard \ deviation}=\frac{72-69.5}{2.4}=1.04.$ Using the table, the probability of z being less than 1.04 is: 0.8508=85.08%. Hence the height doesn't seem to be good, because for almost 15% of men it would be small. b)By using the table, the z-score corresponding to 99%=0.99: z=2.33. Hence the corresponding value:$mean+z⋅standard \ deviation=69.5+2.33⋅2.4=75.092.$
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