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
Yes
No
second blank
can
cannot
third blank
both n·p and n·q exceed
n·q exceeds
n·p does not exceed
n·p exceeds
n·q does not exceed
n·p and n·q do not exceed
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 =
σp̂ =
(b)
Suppose
_____, p̂ _____ be approximated by a normal random
variable because _____ _____.
first blank
Yes
No
second blank
can
cannot
third blank
both n·p and n·q exceed
n·q exceeds
n·p does not exceed
n·p exceeds
n·q does not exceed
n·p and n·q do not exceed
fourth blank (Enter an exact number.)
(c)
Suppose n = 43 and p = 0.27. (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
Yes
No
second blank
can
cannot
third blank
both n·p and n·q exceed
n·q exceeds
n·p does not exceed
n·p exceeds
n·q does not exceed
n·p and n·q do not exceed
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 =
σp̂ =
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