Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (b) Suppose n = 25 and p = 0.15. Can we safely approximate p̂ by a normal...


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


(b) Suppose
n
= 25 and
p
= 0.15. Can we safely approximate p̂ by a normal distribution? Why or why not?


(Yes/No) , p̂ (can/cannot) be approximated by a normal random variable because ____(np and nq do not exceed, nq exceeds, nq does not exceed, np does not exceed, nq does not exceed, np exceeds, both np and nq exceed) ________ (fill in blank)


(c) Suppose
n
= 43 and
p
= 0.20. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)


np = ???


nq = ???


(Yes/No) , p̂ (can/cannot) be approximated by a normal random variable because ____(np and nq do not exceed, nq exceeds, nq does not exceed, np does not exceed, nq does not exceed, np exceeds, both np and nq exceed) ________ (fill in blank)


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


(b) Suppose n =<br>25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not?<br>---Select--- v<br>p --Select-- v be approximated by a normal random variable because -Select-<br>(c) Suppose n = 43 and p = 0.20. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.)<br>hp =<br>nq =<br>P ---Select- v be approximated by a normal random variable because --Select---<br>--Select--- v<br>What are the values of u, and o,? (Use 3 decimal places.)<br>Hp<br>

Extracted text: (b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not? ---Select--- v p --Select-- v be approximated by a normal random variable because -Select- (c) Suppose n = 43 and p = 0.20. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) hp = nq = P ---Select- v be approximated by a normal random variable because --Select--- --Select--- v What are the values of u, and o,? (Use 3 decimal places.) Hp

Jun 11, 2022
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