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 = 0.32. (For each answer, enter a number. Use 2...

(a)

• Suppose
  n
  = 35 and


• 
  p
  = 0.32.

(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


second blank


third blank


fourth blank (Enter an exact number.)




What are the values of ?_p̂
and ?_p̂? (For each answer, enter a number. Use 3 decimal places.)
?_p̂
= mu sub p hat =



?_p̂
= sigma sub p hat =

(b)

Suppose

• 
  n
  = 25 and


• 
  p
  = 0.15.

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


second blank


third blank


fourth blank (Enter an exact number.)

(c)

Suppose

• 
  n
  = 52 and


• 
  p
  = 0.19.

(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


second blank


third blank


fourth blank (Enter an exact number.)




What are the values of ?_p̂
and ?_p̂? (For each answer, enter a number. Use 3 decimal places.)
?_p̂
= mu sub p hat =



?_p̂
= sigma sub p hat =