Answer: Consider the following information on ultimate

Chapter 1, Problem 62E

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QUESTION:

Problem 62E

Consider the following information on ultimate tensile strength (lb/in) for a sample of n = 4hard zirconium copper wire specimens (from “Characterization Methods for Fine Copper Wire,” Wire J. Intl., Aug., 1997: 74–80):

Determine the values of the two middle sample observations (and don’t do it by successive guessing!).

 

Questions & Answers

QUESTION:

Problem 62E

Consider the following information on ultimate tensile strength (lb/in) for a sample of n = 4hard zirconium copper wire specimens (from “Characterization Methods for Fine Copper Wire,” Wire J. Intl., Aug., 1997: 74–80):

Determine the values of the two middle sample observations (and don’t do it by successive guessing!).

 

ANSWER:

Answer :

Step 1 of 2 :

Given,  on ultimate tensile strength (lb/in) for a sample of n = 4 hard zirconium copper wire specimens

 = 76,831,  s = 140, smallest = 76,683 and largest = 77,048.

The claim is to find the values of the two middle sample observations

Let, =  -

           =   - 76,831

Then , =  -

                  = 76683  - 76,831

                  = -148

And  =  -

               =  = 77048  - 76,831

                  = 217

Then,   =  - 76831 = 0

So,  +  = -( ) = -69

Let, s =

       180 =

    = 3(180

              = 97200

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