A manufacturer is considering the production of a new style of collar to attract young men. The following statistics of neck circumferences are available based upon measurements of a group of university students. 12.5 13.0 13.5 14.0 14.5 15.0 15.5 16.0 16.5 4 19 30 63 66 29 1 Mid-Value (inches) Number of Students 18 1 Compute the standard deviation (S) and use the criterion x + 3(S) to determine the largest and smallest size of collars he should make in order to meet the needs of practically all his customers, bearing in mind that collars are worn, on average, 34 inches larger than neck size.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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Problem #6: A manufacturer is considering the production of a new style of collar to attract young men. The following
statistics of neck circumferences are available based upon measurements of a group of university students.
Mid-Value (inches) 12.5 13.0 13.5
14.0 14.5 15.0 15.5
16.0 16.5
Number of Students
4
30
63
1
1
66
29
18
Compute the standard deviation (S) and use the criterion x + 3(S) to determine the largest and smallest
size of collars he should make in order to meet the needs of practically all his customers, bearing in mind
that collars are worn, on average, 3/4 inches larger than neck size.
Transcribed Image Text:Problem #6: A manufacturer is considering the production of a new style of collar to attract young men. The following statistics of neck circumferences are available based upon measurements of a group of university students. Mid-Value (inches) 12.5 13.0 13.5 14.0 14.5 15.0 15.5 16.0 16.5 Number of Students 4 30 63 1 1 66 29 18 Compute the standard deviation (S) and use the criterion x + 3(S) to determine the largest and smallest size of collars he should make in order to meet the needs of practically all his customers, bearing in mind that collars are worn, on average, 3/4 inches larger than neck size.
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