Suppose we have a binomial experiment in which success isdefined to be a particular quality or attribute that interestsus.

(a)

• Suppose n = 25 andp = 0.28.

(For each answer, enter a number. Use 2 decimal places.)
n·p = ?
n·q = ?

Can we approximate p? by a normal distribution? Why? (Fillin the blank. There are four answer blanks. A blank is representedby _____.)

_____, p? _____ be approximated by a normal randomvariable because _____ _____.

first blank

Yes or No    

second blank

can or cannot    

third blank

n·p exceedsn·q exceeds
n·p does not exceed
n·p and n·q do not exceed
both n·p and n·q exceed
n·q does not exceed

fourth blank (Enter an exact number.)
?

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

?_p? = sigma sub p hat = ?

(b)

Suppose

• n = 25 and p =0.15.

Can we safely approximate p? by a normal distribution?Why or why not? (Fill in the blank. There are four answer blanks. Ablank is represented by _____.)

_____, p? _____ be approximated by a normal randomvariable because _____ _____.

first blank

Yes or No    

second blank

can or cannot    

third blank

n·p exceedsn·q exceeds
n·p does not exceed
n·p and n·q do not exceed
both n·p and n·q exceed
n·q does not exceed

fourth blank (Enter an exact number.)
?

(c)

Suppose

• n = 48 and p =0.40.

(For each answer, enter a number. Use 2 decimal places.)
n·p = ?
n·q = ?

Can we approximate p? by a normal distribution? Why? (Fillin the blank. There are four answer blanks. A blank is representedby _____.)

_____, p? _____ be approximated by a normal randomvariable because _____ _____.

first blank

Yesor No    

second blank

can or cannot    

third blank

n·p exceedsn·q exceeds
n·p does not exceed
n·p and n·q do not exceed
both n·p and n·q exceed
n·q does not exceed

fourth blank (Enter an exact number.)
?

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

?_p? = sigma sub p hat =