80.2K

Verified Solution

Link Copied!

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

(a)

• Suppose n = 36 and
• p = 0.39.

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

Can we approximate p? by a normal distribution? Why? (Fill inthe blank. There are four answer blanks. A blank is represented by_____.)

_____, p? _____ be approximated by a normal random variable because_____ _____.

first blank

YesNo    

second blank

cancannot    

third blank

both n·p and n·qexceedn·pexceeds    n·p andn·q do not exceedn·q does notexceedn·p does not exceedn·qexceeds

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

YesNo    

second blank

cancannot    

third blank

both n·p and n·qexceedn·pexceeds    n·p andn·q do not exceedn·q does notexceedn·p does not exceedn·qexceeds

fourth blank (Enter an exact number.)

(c)

Suppose

• n = 46 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

YesNo    

second blank

cancannot    

third blank

both n·p and n·qexceedn·pexceeds    n·p andn·q do not exceedn·q does notexceedn·p does not exceedn·qexceeds

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 =