Problem #6: A manufacturer is considering the production of a new style of collar to attract young men. The followingstatistics of neck circumferences are available based upon measurements of a group of university students.Mid-Value (inches) 12.5 13.0 13.514.0 14.5 15.0 15.516.0 16.5Number of Students4306311662918Compute the standard deviation (S) and use the criterion x + 3(S) to determine the largest and smallestsize of collars he should make in order to meet the needs of practically all his customers, bearing in mindthat collars are worn, on average, 3/4 inches larger than neck size.

Answered: A manufacturer is considering the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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.

Expert Solution

Step 1: Provided given information

A manufacturer is considering the production of a new style of collar to attract young men.And we have also given the statistics of neck circumferences are available based on measurements of a group of universit 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	19	30	63	66	29	18	1	1

Then we need to compute the standard deviation(S) and use the criterion $x with bar on top plus-or-minus 3 left parenthesis S right parenthesis$ 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 $bevelled 3 over 4$ inches larger than neck size.