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: 27

Answer

a)The event is very unlikely and probably not the husband is the father. b)240 days

Work Step by Step

a)$z=\frac{value-mean}{standard \ deviation}=\frac{308-268}{15}=2.67$. By using the table the corresponding probability: 1-0.9962=0.0038, which is very low, hence the event is very unlikely and probably not the husband is the father. b)By using the table, the z-score corresponding to 0.03: z=-1.88. Hence the correspondig value:$mean+z\cdot standard \ deviation=268-1.88\cdot 15=239.8\approx240.$
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