Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 3 - Section 3.2 - Assess Your Understanding - Applying the Concepts - Page 154: 31d

Answer

81.5%

Work Step by Step

A bell shaped distribution is symmetric. That is, 50% of kidney pairs weigh more than 325 grams and 50% of kidney pairs weigh less than 325 grams. $325-295=30=1σ$ So, if 68% of kidney pairs weigh between $μ-1σ=295$ grams and $μ+1σ=355$ grams, we can conclude that, $\frac{68}{2}$% $=34$% of kidney pairs weigh between $μ-1σ=295$ grams and $μ=325$ grams. $385-325=2σ$ So, if 95% of kidney pairs weigh between $μ-2σ=265$ grams and $μ+2σ=385$ grams, we can conclude that, $\frac{95}{2}$% $=47.5$% of kidney pairs weigh between $μ=325$ grams and $μ+2σ=385$ grams. Now, between 295 grams and 385 grams: $34+47.5=81.5$%
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