The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 3 - The Normal Distributions - Apply Your Knowledge - Page 93: 3.14b

Answer

22.7 < x <27.9

Work Step by Step

The distribution is normal, so we can use .4000 as the area under the curve (above the mean) to determine the higher end of the range. Since the distribution is normal, we use that same number for the area under the curve (less than the mean) for the lower end of the range. $(x - 25.3)/6.5 = -.4$ $(x - 25.3) = -2.6$ $x = 22.7$ (lower end of range) $(x - 25.3)/6.5 = .4$ $(x - 25.3) = 2.6$ $x = 27.9$ (upper end of range)
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