Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 11 Data Analysis and Statistics - Chapter Test - Page 787: 5

Answer

$0.4987$

Work Step by Step

$\text{z-score}=\frac{\text{data item-mean}}{\text{standard deviation}}$ Hence here the z-score is: $\frac{57-72}{5}=-1,\frac{72-72}{5}=0$ Then, using the table: $P(57\leq x\leq 72)=P(x\leq 72)-P(x\leq57)\approx P(z\leq0)-P(z\leq-3)=0.5-0.0013=0.4987$
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