(a) Suppose n = 26 and p = 0.23. (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 _____.)

MATLAB: An Introduction with Applications
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(a)

  • Suppose n = 26 and
  • p = 0.23.
(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
YesNo    
second blank
cancannot    
third blank
both n·p and n·q exceedn·q exceeds     n·p and n·q do not exceedn·q does not exceedn·p exceedsn·p does not exceed
 
fourth blank (Enter an exact number.)
?

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

? = 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
YesNo    
second blank
cancannot    
third blank
both n·p and n·q exceedn·q exceeds     n·p and n·q do not exceedn·q does not exceedn·p exceedsn·p does not exceed
 
fourth blank (Enter an exact number.)
?


(c)

Suppose
  • n = 48 and
  • p = 0.35.
(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
YesNo    
second blank
cancannot    
third blank
both n·p and n·q exceedn·q exceeds     n·p and n·q do not exceedn·q does not exceedn·p exceedsn·p does not exceed
 
fourth blank (Enter an exact number.)
?


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

? = sigma sub p hat =

 
 

 

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