Construct a two-sided 90% Confidence Interval for the standard deviation of the time measurement for the device being evaluated in the dataset?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Sarpeidon Incorporated, manufacturer of high-tech lab equipment, prides itself on the quality of its products.  Their high-end chronometer, the Atavachron, is advertised to measure time with a standard deviation of 80 nanoseconds.  The Contrôle Officiel Suisse des Chronomètres, or COSC (Official Swiss Chronometer Testing Institute) is an internationally recognized institute responsible for certifying the accuracy and precision of chronometers.  Every Atavachron 
Sarpeidon Inc. produces must be rigorously tested to meet the standards set by the COSC.   
Mr. Atoz is the quality tester who calibrates each Atavachron produced to ensure it is compliant with COSC regulations.  Mr. Atoz’ calibration testing involves emitting a laser at a sensor placed a fixed distance away.  Both the laser and sensor are connected to the Atavachron.  The Atavachron begins timing when the laser is emitted and records how long it takes for the laser to hit the sensor.  In theory, the experiment should take the same amount of time, however, no chronometer is perfect.   


Construct a two-sided 90% Confidence Interval for the standard deviation of the time measurement for the device being evaluated in the dataset?  


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