Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a)

  • Suppose n = 31 and
  • p = 0.36.

(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

Yes
No    
 

second blank

can
cannot    
 

third blank

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

fourth blank (Enter an exact number.)

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

σ = 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

Yes
No    
 

second blank

can
cannot    
 

third blank

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

fourth blank (Enter an exact number.)

(c)

Suppose

  • n = 63 and
  • p = 0.24.

(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

Yes
No    
 

second blank

can
cannot    
 

third blank

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

fourth blank (Enter an exact number.)

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

σ = sigma sub p hat =

Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a) Suppose n = 30 and p = 0.24.(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

a. Yes
b. No    

second blank

a.) can
b.) cannot    
 

third blank

a.) n·p and n·q do not exceed
b.) n·q does not exceed    
c.) both n·p and n·q exceed
d.) n·q exceeds
e.) n·p exceeds
f.) n·p does not exceed
 

fourth blank (Enter an exact number.)

 
______(blank)

What are the values of μ and σ? (For each answer, enter a number. Use 3 decimal places.)

μ = mu sub p hat =

σ = 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

a.) Yes
b.) No    
 

second blank

a.) can
b.) cannot    
 

third blank

a.) n·p and n·q do not exceed
b.) n·q does not exceed   
c.) both n·p and n·q exceed
d.) n·q exceeds
e.) n·p exceeds
f.) n·p does not exceed

fourth blank (Enter an exact number.)

______(blank) 

(c) Suppose n = 58 and p = 0.10. (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

a.) Yes
b.) No    
 

second blank

a.) can
b.) cannot    
 

third blank

a.) n·p and n·q do not exceed
b.)n·q does not exceed    
c.) both n·p and n·q exceed
d.) n·q exceeds
e.) n·p exceeds
f.) n·p does not exceed
 

fourth blank (Enter an exact number.)

______(blank) 

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

Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a)

 

  • Suppose n = 45 and
  •  

  • p = 0.26.

 (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

Yes
No    
 
second blank

can
cannot    
 
third blank

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

What are the values of μ and σ? (For each answer, enter a number. Use 3 decimal places.)
μ

σ

(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

Yes
No    
 
second blank

can
cannot    
 
third blank

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

(c)

 Suppose 

  • n = 57 and
  •  

  • p = 0.24.

 (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

Yes
No    
 
second blank

can
cannot    
 
third blank

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

fourth blank (Enter an exact number.)

What are the values of μ and σ? (For each answer, enter a number. Use 3 decimal places.)
μ

σ

Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
(a) Suppose n = 42 and p = 0.37. (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
Yes
No
second blank
can
cannot
third blank
both n·p and n·q exceed
n·p exceeds
n·q does not exceed
n·q exceeds
n·p does not exceed
n·p and n·q do not exceed
fourth blank (Enter an exact number.)

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

σp̂ = 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
Yes
No
second blank
can
cannot
third blank
both n·p and n·q exceed
n·p exceeds
n·q does not exceed
n·q exceeds
n·p does not exceed
n·p and n·q do not exceed
fourth blank (Enter an exact number.)

(c) Suppose n = 62 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
Yes
No
second blank
can
cannot
third blank
both n·p and n·q exceed
n·p exceeds
n·q does not exceed
n·q exceeds
n·p does not exceed
n·p and n·q do not exceed
fourth blank (Enter an exact number.)

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

σp̂ = sigma sub p hat =

Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a) Suppose n = 29 and p = 0.34. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)

np =
nq =

 —Select— Yes No , p̂  —Select— can cannot be approximated by a normal random variable because  —Select— np and nq do not exceed nq exceeds np exceeds np does not exceed nq does not exceed both np and nq exceed .

What are the values of μ and σ? (Use 3 decimal places.)

μ =
σ =

(b) Suppose n = 25 and p = 0.15. Can we safely approximate p̂ by a normal distribution? Why or why not?
 —Select— Yes No , p̂  —Select— can cannot be approximated by a normal random variable because  —Select— nq does not exceed np exceeds both np and nq exceed np and nq do not exceed np does not exceed nq exceeds .

(c) Suppose n = 48 and p = 0.11. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)

np =
nq =

 —Select— Yes No , p̂  —Select— cannot can be approximated by a normal random variable because  —Select— np and nq do not exceed np exceeds nq does not exceed np does not exceed nq exceeds both np and nq exceed .

What are the values of μ and σ? (Use 3 decimal places.)

μ =
σ =

 

Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a)

 

  • Suppose n = 32 and
  •  

  • p = 0.39.

 (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

n·q does not exceedn·p and n·q do not exceed    n·q exceedsn·p exceedsboth n·p and n·q exceedn·p does not exceed

fourth blank (Enter an exact number.)

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

σ = 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

n·q does not exceedn·p and n·q do not exceed    n·q exceedsn·p exceedsboth n·p and n·q exceedn·p does not exceed

fourth blank (Enter an exact number.)

(c)

 Suppose 

  • n = 51 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

n·q does not exceedn·p and n·q do not exceed    n·q exceedsn·p exceedsboth n·p and n·q exceedn·p does not exceed

fourth blank (Enter an exact number.)

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

σ = sigma sub p hat =

Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a) Suppose n = 25 and p = 0.25. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)

np =
nq =

 —Select— Yes No , p̂  —Select— can cannot be approximated by a normal random variable because  —Select— np exceeds nq exceeds both np and nq exceed nq does not exceed np does not exceed np and nq do not exceed .

What are the values of μ and σ? (Use 3 decimal places.)

μ =
σ =

(b) Suppose n = 25 and p = 0.15. Can we safely approximate p̂ by a normal distribution? Why or why not?
 —Select— Yes No , p̂  —Select— can cannot be approximated by a normal random variable because  —Select— nq does not exceed nq exceeds np exceeds both np and nq exceed np does not exceed np and nq do not exceed .

(c) Suppose n = 42 and p = 0.37. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)

np =
nq =

 —Select— Yes No , p̂  —Select— can cannot be approximated by a normal random variable because  —Select— nq exceeds nq does not exceed np and nq do not exceed both np and nq exceed np does not exceed np exceeds .

What are the values of μ and σ? (Use 3 decimal places.)

μ =
σ =

Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a)

 

  • Suppose n = 44 and
  •  

  • p = 0.22.

 (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

n·p does not exceedboth n·p and n·q exceed    n·q does not exceedn·p and n·q do not exceedn·p exceedsn·q exceeds

fourth blank (Enter an exact number.)

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

σ = 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

n·p does not exceedboth n·p and n·q exceed    n·q does not exceedn·p and n·q do not exceedn·p exceedsn·q exceeds

fourth blank (Enter an exact number.)

(c)

 Suppose 

  • n = 64 and
  •  

  • p = 0.24.

 (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

n·p does not exceedboth n·p and n·q exceed    n·q does not exceedn·p and n·q do not exceedn·p exceedsn·q exceeds

fourth blank (Enter an exact number.)

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

σ = sigma sub p hat =

Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a)

  • Suppose n = 28 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

YesNo    

second blank

can cannot    

third blank

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

fourth blank (Enter an exact number.)

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

σ = 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

can cannot    

third blank

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

fourth blank (Enter an exact number.)

(c)

 Suppose 

  • n = 51 and
  •  

  • p = 0.36.

 (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

Yes No    

second blank

can cannot    

third blank

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

fourth blank (Enter an exact number.)

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

σ = sigma sub p hat =

Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. 

a) Suppose n = 44 and p = .22. (For each answer, enter anumber. use 2 decimal places)

n*p = 

n*q =

Can we approximate by a normal distribution? 

______, ______ be approximated by a normal random variable because ______ ______.

First blank: yes/no

Second blank: can/cannot

Third blank: n*P exceeds, n*p and n*q exceed, n*p does not exceed, n*q does not exceed, n*p and n*q do not exceed, n*q exceeds

Fourth blank: enter exact number

What are values of u and o ? (For each answer enter a number, use 3 decimal places)

u

o =

b) Suppose n = 25 and p = 0.15. Can we safely approximate by a normal distribution? Why or why not? 

______, ______ be approximated by a normal random variable because ______ ______.

First blank: yes/no

Second blank: can/cannot

Third blank: n*P exceeds, n*p and n*q exceed, n*p does not exceed, n*q does not exceed, n*p and n*q do not exceed, n*q exceeds

Fourth blank: enter exact number

c) Suppose n = 49 and p = 0.17 (For each answer enter a number. Use 2 decimal places)

Can we approximate by a normal distribution? Why?

Can we approximate by a normal distribution? 

______, ______ be approximated by a normal random variable because ______ ______.

First blank: yes/no

Second blank: can/cannot

Third blank: n*P exceeds, n*p and n*q exceed, n*p does not exceed, n*q does not exceed, n*p and n*q do not exceed, n*q exceeds

Fourth blank: enter exact number

What are values of u and o ? (For each answer enter a number, use 3 decimal places)

u

o =

 

Suppose we have a binomial exp

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a) Suppose n = 27 and p = 0.28. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)

np =
nq =

 —Select— Yes No , p̂  —Select— cannot can be approximated by a normal random variable because  —Select— np does not exceed both np and nq exceed nq does not exceed np and nq do not exceed np exceeds nq exceeds .

What are the values of μ and σ? (Use 3 decimal places.)

μ =
σ =

(b) Suppose n = 25 and p = 0.15. Can we safely approximate p̂ by a normal distribution? Why or why not?
 —Select— Yes No , p̂  —Select— cannot can be approximated by a normal random variable because  —Select— both np and nq exceed nq does not exceed np exceeds nq exceeds np does not exceed np and nq do not exceed .

(c) Suppose n = 41 and p = 0.32. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)

np =
nq =

 —Select— Yes No , p̂  —Select— cannot can be approximated by a normal random variable because  —Select— np exceeds nq exceeds np and nq do not exceed nq does not exceed np does not exceed both np and nq exceed .

What are the values of μ and σ? (Use 3 decimal places.)

μ =
σ =

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