Question

In: Statistics and Probability

   Here   are   the   population   parameters   of   the   bears:       ?=207.6 ??? ?=96.6 ???   a) Using  ...

   Here   are   the   population   parameters   of   the   bears:       ?=207.6 ??? ?=96.6 ???  

a) Using   this   data,   find   the   percentage   of   bears   that   weigh   between   180   and   220   pounds.  
  
  
  
  
  
b) Find   the   weight   of   a   bear   for   the   90th   percentile.       Explain   what   this   means.  
  
  
  
  
c) Is   the   weight   of   the   largest   bear   a   significant   weight?       Provide   evidence.  

Solutions

Expert Solution

Answer:

Given that

The population parameters of the bears:  ?=207.6 ??? ?=96.6 ???  

a) Using   this   data,   find   the   percentage   of   bears   that   weigh   between   180   and   220   pounds.

  
b) Find   the   weight   of   a   bear   for   the   90th   percentile. Explain   what   this   means.

p-value for the bottom 90th percentile = 0.90

z-score for the p-vlue = 1.282

By applying normal distribution

c) Is   the   weight   of   the   largest   bear   a   significant   weight? Provide   evidence.  

Yes,the weight of the largest bear is significant weight

p-value for the largest 99th percetile (Largest bear)= 0.99

z-score for the p-value =2.326

The value 2.326 is significanty high,since it is greater than 2


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