Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 38 and p = 0.20. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.) np =  nq =   ---Select--- Yes No , p̂  ---Select--- can cannot be approximated by a normal random variable because  ---Select--- np does not exceed both np and nq exceed nq exceeds nq does not exceed np exceeds np and nq do not exceed  . What are the values of μp̂ and σp̂? (Use 3 decimal places.) μp̂ =  σp̂ =  (b) Suppose n = 25 and p = 0.15. Can we safely approximate p̂ by a normal distribution? Why or why not?  ---Select--- Yes No , p̂  ---Select--- can cannot be approximated by a normal random variable because  ---Select--- np does not exceed nq does not exceed both np and nq exceed np exceeds np and nq do not exceed nq exceeds  . (c) Suppose n = 50 and p = 0.38. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.) np =  nq =   ---Select--- Yes No , p̂  ---Select--- cannot can be approximated by a normal random variable because  ---Select--- np and nq do not exceed both np and nq exceed nq exceeds np does not exceed nq does not exceed np exceeds  . What are the values of μp̂ and σp̂? (Use 3 decimal places.) μp̂ =  σp̂ =

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Author:Amos Gilat
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Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a) Suppose n = 38 and p = 0.20. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)
np = 
nq = 

 ---Select--- Yes No , p̂  ---Select--- can cannot be approximated by a normal random variable because  ---Select--- np does not exceed both np and nq exceed nq exceeds nq does not exceed np exceeds np and nq do not exceed  .

What are the values of μ and σ? (Use 3 decimal places.)
μ = 
σ = 

(b) Suppose n = 25 and p = 0.15. Can we safely approximate p̂ by a normal distribution? Why or why not?
 ---Select--- Yes No , p̂  ---Select--- can cannot be approximated by a normal random variable because  ---Select--- np does not exceed nq does not exceed both np and nq exceed np exceeds np and nq do not exceed nq exceeds  .

(c) Suppose n = 50 and p = 0.38. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)
np = 
nq = 

 ---Select--- Yes No , p̂  ---Select--- cannot can be approximated by a normal random variable because  ---Select--- np and nq do not exceed both np and nq exceed nq exceeds np does not exceed nq does not exceed np exceeds  .

What are the values of μ and σ? (Use 3 decimal places.)
μ = 
σ = 
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