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 = 0.23. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = 6.21 ng = 20.79 Yes p can be approximated by a normal random variable because np exceeds 5 --Select--- What are the values of u, and o,? (Use 3 decimal places.) np and ng do not exceed nq exceeds ng does not exceed

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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.

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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 = 27 and p = 0.23. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.)
np = 6.21
ng = 20.79
Yes
p can
be approximated by a normal random variable because np exceeds
5
---Select--
What are the values of u, and o,? (Use 3 decimal places.)
np and ng do not exceed
Op =
ng exceeds
nq does not exceed
(b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution?
No
both np and nq exceed
, p cannot
be approximated by a normal random variable be
np does not exceed
Transcribed Image Text: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 = 0.23. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.) np = 6.21 ng = 20.79 Yes p can be approximated by a normal random variable because np exceeds 5 ---Select-- What are the values of u, and o,? (Use 3 decimal places.) np and ng do not exceed Op = ng exceeds nq does not exceed (b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? No both np and nq exceed , p cannot be approximated by a normal random variable be np does not exceed
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