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people were polled on how many books they read the previous year. how many subje

ID: 3376771 • Letter: P

Question

people were polled on how many books they read the previous year. how many subjects are needed to estimate the number of books read the previous year within one book with 99% confidence?initial survey results indicate that the standard deviation is 10.1 books people were polled on how many books they read the previous year. how many subjects are needed to estimate the number of books read the previous year within one book with 99% confidence?initial survey results indicate that the standard deviation is 10.1 books people were polled on how many books they read the previous year. how many subjects are needed to estimate the number of books read the previous year within one book with 99% confidence?initial survey results indicate that the standard deviation is 10.1 books

Explanation / Answer

Note that      
      
n = z(alpha/2)^2 s^2 / E^2      
      
where      
      
alpha/2 = (1 - confidence level)/2 =    0.005  
      
Using a table/technology,      
      
z(alpha/2) =    2.575829304  
      
Also,      
      
s = sample standard deviation =    10.1  
E = margin of error =    1  
      
Thus,      
      
n =    676.8258023  
      
Rounding up,      
      
n =    677   [answer]