The distribution of the weights of a sample of 1

Question

The distribution of the weights of a sample of 1,600 cargo containers is symmetric and bellshaped.a. According to the Empirical Rule, what percent of the weights will lie between  and  ? 

   

    Percent of the weights  %     

 

  b.  According to the Empirical Rule, what percent of the weights will lie between  and ? (Round your answer to 2 decimal places.)    

   

    Percent of the weights  %     

  

  c.  Below  ? (Round your answer to 2 decimal places.)    

  

   Percent of the weights  %

yyzzzz2016 · Answer

a) 95% between the mean + or - 2 standard deviations. 

b) Half of 99.73%, which is 49.865%, as 99.73% lie between the mean + or - 3 standard deviations. 



c) 100 - 99.73 = 0.27. You want half of this which is 0.135%

satis · Answer

The distribution of the weights of a sample of 1,600 cargo containers is symmetric and bell shaped.

According to Empirical Rule : 



68% of data falls within the 1st standard deviation from the mean . 



95% of data falls within two standard deviation



99.7% of data falls within three standard deviation



So according to Empirical Rule : 



a) percent of the weights will lie between x̄ - 3s  and x̄ + 3s is 99.7%



b) percent of the weights will lie between x̄ and x̄ + 3s is = 'half of 99.7%'  = 99.7%/2  = 49.85 %



c) percent of the weights bellow x̄ - 3s  =  half of (100 - 99.7%) = 0.3% /2 = 0.15%

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The distribution of the weights of a sample of 1

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