Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
(a)
(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 _____ _____.
first blank
YesNo
second blank
cancannot
third blank
n·q does not exceedn·p does not exceed n·q exceedsn·p and n·q do not exceedboth n·p and n·q exceedn·p exceeds
fourth blank (Enter an exact number.)
What are the values of μp̂ and
σp̂? (For each answer, enter a number.
Use 3 decimal places.)
μp̂ = mu sub p hat =
σp̂ = sigma sub p hat =
(b)
Suppose
Can we safely approximate p̂ by a normal distribution?
Why or why not? (Fill in the blank. There are four answer blanks. A
blank is represented by _____.)
_____, p̂ _____ be approximated by a normal random
variable because _____ _____.
first blank
YesNo
second blank
cancannot
third blank
n·q does not exceedn·p does not exceed n·q exceedsn·p and n·q do not exceedboth n·p and n·q exceedn·p exceeds
fourth blank (Enter an exact number.)
(c)
Suppose
(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 _____ _____.
first blank
YesNo
second blank
cancannot
third blank
n·q does not exceedn·p does not exceed n·q exceedsn·p and n·q do not exceedboth n·p and n·q exceedn·p exceeds
fourth blank (Enter an exact number.)
What are the values of μp̂ and
σp̂? (For each answer, enter a number.
Use 3 decimal places.)
μp̂ = mu sub p hat =
σp̂ = sigma sub p hat =
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