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Collaborative statistics
The central limit theorem
Review
Central Limit Theorem: Review is part of the collection col10555 written by Barbara Illowsky and Susan Dean. The module consists of review exercises.
The next three questions refer to the following information: Richard’s Furniture Company delivers furniture from 10 A.M. to 2 P.M. continuously and uniformly. We are interested in how long (in hours) past the 10 A.M. start time that individuals wait for their delivery.
X
size 12{X "~" } {} ~
A
U
(
0,4
)
size 12{U \( 0,4 \) } {}
B
U
(
10
,
2
)
size 12{U \( "10",2 \) } {}
C
Exp
(
2
)
size 12{ ital "Exp" \( 2 \) } {}
D
N
(
2,1
)
size 12{N \( 2,1 \) } {}
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Suppose that it is now past noon on a delivery day. The probability that a person must wait at least
1
1
2
size 12{1 { {1} over {2} } } {}
more hours is:
A
1
4
size 12{ { {1} over {4} } } {}
B
1
2
size 12{ { {1} over {2} } } {}
C
3
4
size 12{ { {3} over {4} } } {}
D
3
8
size 12{ { {3} over {8} } } {}
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Given:
X
~
Exp
(
1
3
)
size 12{X "~" ital "Exp" \( { {1} over {3} } \) } {} .
a Find
P
(
x
>
1
)
size 12{P \( x>1 \) } {}
b Calculate the minimum value for the upper quartile.
c Find
P
(
x
=
1
3
)
size 12{P \( x= { {1} over {3} } \) } {}
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40% of full-time students took 4 years to graduate
30% of full-time students took 5 years to graduate
20% of full-time students took 6 years to graduate
10% of full-time students took 7 years to graduate
The expected time for full-time students to graduate is:
A 4 years
B 4.5 years
C 5 years
D 5.5 years
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Which of the following distributions is described by the following example?
Many people can run a short distance of under 2 miles, but as the distance increases, fewer people can run that far.
A Binomial
B Uniform
C Exponential
D Normal
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The length of time to brush one’s teeth is generally thought to be exponentially distributed with a mean of
3
4
size 12{ { {3} over {4} } } {} minutes. Find the probability that a randomly selected person brushes his/her teeth less than
3
4
size 12{ { {3} over {4} } } {} minutes.
A 0.5
B
3
4
size 12{ { {3} over {4} } } {}
C 0.43
D 0.63
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Which distribution accurately describes the following situation?
The chance that a teenage boy regularly gives his mother a kiss goodnight (and he should!!) is about 20%. Fourteen teenage boys are randomly surveyed.
X
=
size 12{X={}} {} the number of teenage boys that regularly give their mother a kiss goodnight
A
B
(
14
,
0
.
20
)
size 12{B \( "14",0 "." "20" \) } {}
B
P
(
2
.
8
)
size 12{P \( 2 "." 8 \) } {}
C
N
(
2
.
8,2
.
24
)
size 12{N \( 2 "." 8,2 "." "24" \) } {}
D
Exp
(
1
0
.
20
)
size 12{ ital "Exp" \( { {1} over {0 "." "20"} } \) } {}
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Which distribution accurately describes the following situation?
A 2008 report on technology use states that approximately 20 percent of U.S. households have never sent an e-mail. (source: http://www.webguild.org/2008/05/20-percent-of-americans-have-never-used-email.php) Suppose that we select a random sample of fourteen U.S. households .
X
=
size 12{X={}} {} the number of households in a 2008 sample of 14 households that have never sent an email
A
B
(
14
,
0
.
20
)
size 12{B \( "14",0 "." "20" \) } {}
B
P
(
2
.
8
)
size 12{P \( 2 "." 8 \) } {}
C
N
(
2
.
8,2
.
24
)
size 12{N \( 2 "." 8,2 "." "24" \) } {}
D
Exp
(
1
0
.
20
)
size 12{ ital "Exp" \( { {1} over {0 "." "20"} } \) } {}
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**Exercise 9 contributed by Roberta Bloom
Questions & Answers
calculate molarity of NaOH solution when 25.0ml of NaOH titrated with 27.2ml of 0.2m H2SO4
the study of the heat energy which is associated with chemical reactions
Kaddija
How was CH4 and o2 was able to produce (Co2)and (H2o
First twenty elements with their valences
what is the best way to define periodic table for jamb
what is the change of matter from one state to another
what is isolation of organic compounds
Read Chapter 6, section 5
Dr
Read Chapter 6, section 5
Kareem
Atomic radius is the radius of the atom and is also called the orbital radius
Kareem
atomic radius is the distance between the nucleus of an atom and its valence shell
Amos
Read Chapter 6, section 5
paulino
Bohr's model of the theory atom
when a gas is compressed why it becomes hot?
ATOMIC
It has no oxygen then
Goldyei
read the chapter on thermochemistry...the sections on "PV" work and the First Law of Thermodynamics should help..
Dr
Which element react with water
an increase in the pressure of a gas results in the decrease of its
definition of the periodic table
what were atoms composed of?
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Source:
OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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