Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 6 - Section 6.2 - Assess Your Understanding - Applying the Concepts - Page 345: 44c

Answer

No, it would not be unusual to observe 185 smokers who started smoking before the age of 21. This is because 185 is less than 2 standard deviations away from the mean.

Work Step by Step

If the observation is at least 2 standard deviations away from the mean (less than μ−2σ or greater than μ+2σ) then it is considered unusual. μ−2σ = 180 - 2(4.243) = 171.514 μ+2σ = 180 + 2(4.243) = 188.486 Since 185 falls between 171.514 and 188.486 it is not an unusual value.
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