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 - Section 5.2 Normal Distributions: Finding Probabilities - Exercises - Page 250: 18

Answer

$z = \frac{x-μ}{σ} = \frac{500-514}{117}$ = -0.12 $z = \frac{x-μ}{σ} = \frac{600-514}{117}$ = 0.74 Using table 4, we have: a. P(z < -0.12) = 0.4522 = 45.22% b. P(z > 0.74) = 1 = P(z < 0.74) = 1 - 0.7704 = 0.2296 = 22.96% To get number of scores, we multiply sample size and percentage 22.96% x 1500 ≈ 344 scores

Work Step by Step

As given above
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