Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0321911210
ISBN 13: 978-0-32191-121-6

Chapter 5 - Normal Probability Distributions - Section 5.4 Sampling Distributions and the Central Limit Theorem - Exercises - Page 271: 28

Answer

Hence 13.57% of flight attendants will have mean salary less than $63,400

Work Step by Step

To calculate P(x̄ < 63400), we need to find the z-score: $z = \frac{x̄ - μ_{x̄}}{σ/\sqrt n}$ $= \frac{63400 - 65700}{14500/\sqrt 48}$ = -1.10 P(z < -1.10) = 0.1357, hence: P(x̄ < 60000) = 0.1357
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