According to a human modeling project, the distribution of foot lengths of 16- to 17-year-old boys is approximately Normal with a mean of 25.5 centimeters and a standard deviation of 1.5 centimeters. Suppose a shoe store stocks shoes in men's sizes 7 through 12. These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store? The percentage of boys 16- to 17-years-old who will not be able to find shoes that fit in the store is (Round to one decimal place as needed.) %.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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According to a human modeling project, the distribution of foot lengths of 16- to 17-year-old boys is approximately Normal with a
mean of 25.5 centimeters and a standard deviation of 1.5 centimeters. Suppose a shoe store stocks shoes in men's sizes 7
through 12. These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will
not be able find shoes that fit in this store?
The percentage of boys 16- to 17-years-old who will not be able to find shoes that fit in the store is
(Round to one decimal place as needed.)
%.
Transcribed Image Text:According to a human modeling project, the distribution of foot lengths of 16- to 17-year-old boys is approximately Normal with a mean of 25.5 centimeters and a standard deviation of 1.5 centimeters. Suppose a shoe store stocks shoes in men's sizes 7 through 12. These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store? The percentage of boys 16- to 17-years-old who will not be able to find shoes that fit in the store is (Round to one decimal place as needed.) %.
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