Nine independent measurements are made of the length of a rod. The average of the nine

Chapter 3, Problem 13

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Nine independent measurements are made of the length of a rod. The average of the nine measurements is \(\bar{X}=5.238 \mathrm{~cm}\), and the standard deviation is \(\mathrm{~s}=0.081 \mathrm{~cm}\)

a. Is the uncertainty in the value \(5.238 \mathrm{~cm}\) closest to \(0.009,0.027, \text { or } 0.081 \mathrm{~cm}\) Explain.


b. Another rod is measured once by the same process. The measurement is \(5.423 \mathrm{~cm}\). Is the uncertainty in this value closest to \(0.009,0.027, \text { or } 0.081 \mathrm{~cm}\)? Explain.

 

Equation Transcription:

   

     

 

   

 

Text Transcription:

\bar X =5.238 cm    

s=0.081 cm    

5.238 cm

0.009, 0.027, or 0.081 cm    

5.423 cm

0.009, 0.027, or 0.081 cm  

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