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* = 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 and nq do not
exceed .

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

μ_{p̂} = |

σ_{p̂} = |

(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--- both np and nq exceed np does not
exceed nq does not exceed np exceeds np and nq do not exceed nq
exceeds .

(c) Suppose *n* = 58 and *p* = 0.26. 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 and nq do not exceed np exceeds
np does not exceed both np and nq exceed nq does not exceed nq
exceeds

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

μ_{p̂} = |

σ_{p̂} = |

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 = 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...

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 = 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 = 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 = 39 and
p = 0.21.
(For each answer, enter a number. Use 2 decimal places.)
n·p = _____________
n·q = _____________
Can we approximate p̂ by a normal distribution? Why? (Fill
in the blank. There are four answer blanks. A blank is represented
by _____.)
_____, p̂ _____ be approximated by a normal random
variable...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a)
Suppose n = 36 and
p = 0.31.
(For each answer, enter a number. Use 2 decimal places.)
n·p =
n·q =
Can we approximate p̂ by a normal distribution? Why? (Fill
in the blank. There are four answer blanks. A blank is represented
by _____.)
_____, p̂ _____ be approximated by a normal random
variable because _____...

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