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The article “Calibration of an FTIR Spectrometer” (P.

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 10E Chapter 3.1

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

4 5 1 298 Reviews
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4
Problem 10E

The article “Calibration of an FTIR Spectrometer” (P. Pankratz, Statistical Case Studies for Industrial and Process Improvement, SIAM-ASA, 1997: 19-38) describes the use of a spectrometer to make five measurements of, the carbon content (in ppm) of a certain silicon-wafer whose true carbon content was known to be 1.1447 ppm. The measurements were 1.0730, 1.0825, 1.0711,1.0870, and 1.0979.

a. Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not.

b. Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain why not.

Step-by-Step Solution:

Step 1 of 3:

Here an article describes the use of a spectrometer to make 5 measurements of, the carbon content was known to be 1.1447ppm. The measurements are 1.0730, 1.0825,1.0711, 1.0870.

We have to check whether

Is it possible to  estimate  uncertainty of these measurements.Is it possible to  estimate bias of these measurements.

Step 2 of 3:

Yes , we can estimate the uncertainty with the standard deviation of 5 measurements.

Let  be the measurement of carbon content . first we have to find the   sample mean.

                         

                           =  

                               =  (1.0730+1.0825+1.0711+1.0870)

                               =  0.8627

So the uncertainty  will be

               S  =

                  =  

                     

                =    0.7233 .

Therefore the uncertainty of the measurements is 0.7233 .

Step 3 of 3

Chapter 3.1, Problem 10E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This full solution covers the following key subjects: measurements, estimate, spectrometer, ppm, these. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 10E from chapter: 3.1 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 10E from 3.1 chapter was answered, more than 490 students have viewed the full step-by-step answer. The answer to “The article “Calibration of an FTIR Spectrometer” (P. Pankratz, Statistical Case Studies for Industrial and Process Improvement, SIAM-ASA, 1997: 19-38) describes the use of a spectrometer to make five measurements of, the carbon content (in ppm) of a certain silicon-wafer whose true carbon content was known to be 1.1447 ppm. The measurements were 1.0730, 1.0825, 1.0711,1.0870, and 1.0979.a. Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not.________________b. Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain why not.” is broken down into a number of easy to follow steps, and 96 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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