Boxes of nails contain 100 nails each. A sample of 10 boxes is drawn, and each of the

Chapter 5, Problem 18

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Boxes of nails contain 100 nails each. A sample of 10 boxes is drawn, and each of the boxes is weighed.  The average weight is \(1500 \mathrm{~g}\) and the standard deviation is

\(5 \mathrm{~g}\). Assume the weight of the box itself is  negligible, so that all the weight is due to the nails in the box.

Let \(\mu_{\text {box }}\) denote the mean weight of a box of nails. Find a 95% confidence interval for \(\mu \text { box }\).

Let \(\mu_{\text {nail }}\) denote the mean weight of a nail. Express μnail in terms of

\(\mu \text { box }\).

Find a 95% confidence interval for \(\mu_{\text {nail }}\).

Equation Transcription:

   

     

     

   

         

   

   

 

Text Transcription:

1500 g    

5 g      

\mu_box    

\mu box    

\mu_nail        

\mu box    

\mu_nail  

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