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

(a) Suppose n = 34 and p = 0.33.

(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/No    

second blank

can/cannot    

third blank

both n·p and n·q exceed

n·q exceeds

n·p exceeds

n·q does not exceed

n·p and n·q do notexceed

n·p 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 wesafely approximate p? by a normal distribution? Why or whynot? (Fill in the blank. There are four answer blanks. A blank isrepresented by _____.)

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

first blank

Yes/No    

second blank

can/cannot    

third blank

both n·p and n·q exceed

n·q exceeds

n·p exceeds

n·q does not exceed

n·p and n·q do notexceed

n·p does not exceed

fourth blank (Enter an exact number.)

(c) Suppose n = 52 andcp = 0.22.

(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/No    

second blank

can/cannot    

third blank

both n·p and n·q exceed

n·q exceeds

n·p exceeds

n·q does not exceed

n·p and n·q do notexceed

n·p 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 =