Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 27 and p = 0.28. 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 does not exceed both np and nq exceed nq does not exceed np and nq do not exceed np exceeds nq exceeds . 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--- cannot can be approximated by a normal random variable because ---Select--- both np and nq exceed nq does not exceed np exceeds nq exceeds np does not exceed np and nq do not exceed . (c) Suppose n = 41 and p = 0.32. 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 exceeds nq exceeds np and nq do not exceed nq does not exceed np does not exceed both np and nq exceed . What are the values of μp̂ and σp̂? (Use 3 decimal places.) μp̂ = σp̂ =
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 27 and p = 0.28. 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 does not exceed both np and nq exceed nq does not exceed np and nq do not exceed np exceeds nq exceeds . 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--- cannot can be approximated by a normal random variable because ---Select--- both np and nq exceed nq does not exceed np exceeds nq exceeds np does not exceed np and nq do not exceed . (c) Suppose n = 41 and p = 0.32. 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 exceeds nq exceeds np and nq do not exceed nq does not exceed np does not exceed both np and nq exceed . What are the values of μp̂ and σp̂? (Use 3 decimal places.) μp̂ = σp̂ =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
(a) Suppose n = 27 and p = 0.28. Can we approximate p̂ by a normal distribution ? Why? (Use 2 decimal places.)
---Select--- Yes No , p̂ ---Select--- cannot can be approximated by a normal random variable because ---Select--- np does not exceed both np and nq exceed nq does not exceed np and nq do not exceed np exceeds nq exceeds .
What are the values of μp̂ and σp̂? (Use 3 decimal places.)
(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--- cannot can be approximated by a normal random variable because ---Select--- both np and nq exceed nq does not exceed np exceeds nq exceeds np does not exceed np and nq do not exceed .
(c) Suppose n = 41 and p = 0.32. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)
---Select--- Yes No , p̂ ---Select--- cannot can be approximated by a normal random variable because ---Select--- np exceeds nq exceeds np and nq do not exceed nq does not exceed np does not exceed both np and nq exceed .
What are the values of μp̂ and σp̂? (Use 3 decimal places.)
np = |
nq = |
---Select--- Yes No , p̂ ---Select--- cannot can be approximated by a normal random variable because ---Select--- np does not exceed both np and nq exceed nq does not exceed np and nq do not exceed np exceeds nq exceeds .
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--- cannot can be approximated by a normal random variable because ---Select--- both np and nq exceed nq does not exceed np exceeds nq exceeds np does not exceed np and nq do not exceed .
(c) Suppose n = 41 and p = 0.32. 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 exceeds nq exceeds np and nq do not exceed nq does not exceed np does not exceed both np and nq exceed .
What are the values of μp̂ and σp̂? (Use 3 decimal places.)
μp̂ = |
σp̂ = |
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