Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 12 - Statistics - 12.5 Problem Solving with the Normal Distribution - Exercise Set 12.5 - Page 821: 28

Answer

$30.85\%$.

Work Step by Step

$z=\frac{\text{data item-mean}}{\text{standard deviation}}$. Hence here: $z=\frac{23.6-22.5}{2.2}=0.5$ Using the table, the percentage of data items in a normal distribution that lie above it is $100\%$ minus the percentile that lies below it (we obtain this from the table): $100\%-69.15\%=30.85\%$.
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