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Suppose you work for Fender Guitar Company and you are responsible for testing the integrity of a new formulation of guitar strings. To perform your analysis, you randomly select 42 'high E' strings and put them into a machine that simulates string plucking thousands of times per minute. You

Suppose you work for Fender Guitar Company and you are responsible for testing the integrity of a new formulation of guitar strings. To perform your analysis, you randomly select 42 'high E' strings and put them into a machine that simulates string plucking thousands of times per minute. You

MATLAB: An Introduction with Applications
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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Suppose you work for Fender Guitar Company and you are responsible for testing the integrity of a new formulation of guitar strings. To perform your analysis, you randomly select 42 'high E' strings and put them into a machine that simulates string plucking thousands of times per minute. You record the number of plucks each string takes before failure and compile a dataset. You find that the average number of plucks is 6,106 with a standard deviation of 221.14. A 95% confidence interval for the average number of plucks to failure is (6,037.1, 6,174.9). From the option listed below, what is the appropriate interpretation of this interval?
 

Question 4 options:

 

1) 

 We cannot determine the proper interpretation of this interval.
 

2) 

 We are 95% confident that the proportion of all 'high E' guitar strings fail with a rate between 6,037.1 and 6,174.9.
 

3) 

 We are certain that 95% of the average number of plucks to failure for all 'high E' strings will be between 6,037.1 and 6,174.9.
 

4) 

 We are 95% confident that the average number of plucks to failure for all 'high E' strings tested is between 6,037.1 and 6,174.9.
 

5) 

 We are 95% confident that the average number of plucks to failure for all 'high E' strings is between 6,037.1 and 6,174.9.
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