A new and unknown weight is weighed on the same scale that

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

Problem 9E 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

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Problem 9E

A new and unknown weight is weighed on the same scale that was used in Exercise 8, and the measurement is 127 µg above 1 kg. Using the information in Exercise 8, is it possible to come up with a more accurate measurement? If so, what is it? If not, explain why not.

Step-by-Step Solution:

Step 1 of 2:

A new unknown weight is weighted in micrograms, and the measurement is 127  above 1 kg. And the previous measurements are 25.6, 26.8 , 26.2 , 26.8 , 25.4 above 1 kg.

We have to find is it possible to find a more accurate measurement from this given data.

Step 2 of 2:

Let , , ..,  are the independent measurements in micrograms that above 1 kg.

We have to find the sample mean

                             

                            

                               =  (25.6+ 26.8 +26.2 +26. 8+ 25.4 +127 )

                               =   42.96

The uncertainty of the estimate is the sample deviation

                                               

                    S   =

                 

       =

       =   41.180

So the uncertainty in the measurement is 41.180.And the estimate of mean is

Step 3 of 3

Chapter 3.1, Problem 9E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4th
Author: William Navidi
ISBN: 9780073401331

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