Statistics for the Life Sciences (5th Edition)

Published by Pearson
ISBN 10: 0-32198-958-9
ISBN 13: 978-0-32198-958-1

Chapter 4 - The Normal Distribution - Exercises 4.3.1 - 4.3.17 - Page 132: 4.3.4

Answer

(a) 22.66% (b) 20.38%

Work Step by Step

You will need this formula $z = (y - μ) / σ $ Where y = the point of intrest μ = the mean of the data set σ = the standard deviation of the data set *Please refer to table 3 for the Standard Normal Cumulative Probability Table Let Y represent a brain weight randomly chosen from population of Exercise 4.3.3. Find (a) $Pr (Y\leq 1,325)$ $-0.75 = (1325 - 1400) / 100 $ $-0.75 = 0.2266$ (b) $Pr (1,475 \leq Y \leq 1,600)$ $0.75 = (1475 - 1400) / 100 $ $2 = (1600 - 1400) / 100 $ $0.75 = 0.7734$ $2 = 0.9772$ $0.9772 - 0.7734 = 0.2038$
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