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Find the uncertainty in U, assuming that X = 10.0 ± 0.5, Y

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

Solution for problem 1E Chapter 3.4

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 1E

Find the uncertainty in U, assuming that X = 10.0 ± 0.5, Y = 5.0 ± 0.1, and

a. U = XY2

b. U = X2 + Y2

c. U = (X + Y2)/2

Step-by-Step Solution:

Step 1 of 4:

Here,it is given that  X = 10.0 ± 0.5 and Y = 5.0 ± 0.1.Also U is defined in terms of X and Y.

Using the given values of X and Y we have to find the values of U with uncertainty.

Step 2 of 4:

(a)

Here,U is expressed as U=X.

We have X=10 ,Y=5 and =0.5,=0.1

So U becomes,

U=10

   =1025

   =250

Now we have to find the uncertainty.

The uncertainty is given by,

=

 First we have to find and .

 is given by,

=

       =

       =25

  is given by,

 =2XY

        =2(10)(5)

        =100

Thus, becomes

=

       =

       =

       =16.0078

Thus, uncertainty in U is 16.0078.

Step 3 of 4

Chapter 3.4, Problem 1E is Solved
Step 4 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 1E from 3.4 chapter was answered, more than 357 students have viewed the full step-by-step answer. This full solution covers the following key subjects: assuming, Find, uncertainty. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 1E from chapter: 3.4 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. The answer to “Find the uncertainty in U, assuming that X = 10.0 ± 0.5, Y = 5.0 ± 0.1, anda. U = XY2________________b. U = X2 + Y2________________c. U = (X + Y2)/2” is broken down into a number of easy to follow steps, and 31 words.

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