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Refer to Exercise 16. A competing process produces rings

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

Solution for problem 17E Chapter 2.4

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 17E

Refer to Exercise 16. A competing process produces rings whose diameters (in centimeters) vary according to the probability density function

Specifications call for the diameter to be 10.0±0.1 cm. Which process is better, this one or the one in Exercise 16? Explain.

Step-by-Step Solution:

Answer:

Step 1 of 3:

                        The probability density function is

                                 

           The probability that the diameter of a randomly chosen piston ring:

              Given the diameter to be  

                                                      

Step 2 of 3: 

           Then, the probability that a ring meets the specification is

                     = F(10.1) - F(9.9)

              Since, the cumulative distribution function is

                   

                        , it follows that

               = F(10.1) - F(9.9)

                                               =

                                               =

  Then,

              =

                              =

                              =

     = 0.641.

 

 

Step 3 of 3

Chapter 2.4, Problem 17E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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Refer to Exercise 16. A competing process produces rings

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