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 84: 3.6b

Answer

16%

Work Step by Step

$(35.8-33.7)/2.1 = (2.1/2.1) = 1$ We are looking for the percent of women who have arm lengths at least one standard deviation off the mean (on the lower tail). Under the 68-95-99.7 rule, one deviation would fall under the 68%. $100-68 = 32%$ However, this accounts for both tails, and we just want one tail. Thus, we can divide the 32% by 2 to get our desired answer of 16%.
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