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* = 26 and *p* = 0.36. Can we
approximate p̂ by a normal distribution? Why?

np=9.36 nq=16.64

**What are the values of μ _{p̂} and
σ_{p̂}? (Use 3 decimal places.)**

(b) Suppose *n* = 58 and *p* = 0.36. Can we
approximate *p̂* by a normal distribution? Why? (Use 2
decimal places.)

np=20.88 nq=37.12

**What are the values of μ _{p̂} and
σ_{p̂}? (Use 3 decimal places.)**

The questions in bold is what I really need help with. Thank you!

Answer #1

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 30 and p = 0.18. Can we
approximate p̂ by a normal distribution? Why? (Use 2
decimal places.)
np = 5.4
nq = 24.6
Yes , p̂ can be approximated by a normal
random variable because ---Select--- nq does not exceed
np does not exceed both np and nq exceed nq exceeds np exceeds np
and nq do...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 35 and p = 0.17. Can we
approximate p̂ by a normal distribution? Why? (Use 2
decimal places.)
np =
nq =
_______ (Yes or No) , p̂ ________ (cannot or
can) be approximated by a normal random variable because ________
(np and nq do not exceed, or np does not exceed, or both np and...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 39 and p = 0.24. Can we
approximate p̂ by a normal distribution? Why? (Use 2
decimal places.)
np =
nq =
(YES or NO), p̂ (CANNOT or CAN) be approximated by a
normal random variable because .(NP exceeds, np does not exceed, nq
exceeds, nq does not exceed, np and nq do not exceed,...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 30 and p = 0.18. 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--- nq does not exceed np does not
exceed both np and nq exceed nq exceeds np exceeds np...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests us.
(a) Suppose n = 44 and p = 0.23. Can we approximate p̂ by a normal
distribution? Why? (Use 2 decimal places.) np = nq = ---Select--- ,
p̂ ---Select--- be approximated by a normal random variable because
---Select--- . What are the values of μp̂ and σp̂? (Use 3 decimal
places.) μp̂ = σp̂ = (b) Suppose n...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 43 and p = 0.23. Can we approximate p̂ by a
normal distribution? Why? (Use 2 decimal places.)
np =
nq =
, p̂ be approximated by a normal random variable because
.
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 = 39 and p = 0.27. 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--- both np and nq exceed nq does not
exceed np and nq do not exceed np exceeds np does...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 30 and p = 0.38. 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--- nq does not exceed nq exceeds both
np and nq exceed np exceeds np and nq do not...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 43 and p = 0.13. 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--- both np and nq exceed np does not
exceed nq exceeds nq does not exceed np exceeds np and...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 41 and p = 0.34. 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--- nq does not exceed np does not
exceed both np and nq exceed nq exceeds np and nq do...

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