Download - Sample Exams - Aaec 3401
-
8/10/2019 Sample Exams - Aaec 3401
1/32
-
8/10/2019 Sample Exams - Aaec 3401
2/32
-
8/10/2019 Sample Exams - Aaec 3401
3/32
-
8/10/2019 Sample Exams - Aaec 3401
4/32
MIN
$41,000
25%:
$88,000
MAX
$276,000
75"1,:
164,000
Construct
box
plot for the
data.
50,000
100,000
PROBLEMS.
Show all
of your
work.
No points
will be
giver-ror an
answer
without showing
horv
the answer
was
obtained.
Draw
diagrams
(with
labels or
the axes)
where appropriate
o
help explain
voLlransrvers.
Be
sure to
put
units
of
measurement
or
vour
answers.
Points or
each
question
are shown
in parentheses.
19)
(8
points) A random
sampleof
sale
pricesof homes
yielded
the following
summarv
information:
Median:
$130,000
+_+
150,000
200.000
250,000
300,000
350,000
400,000
Comment
on
a
home
that had a saleprice of $419,000.
A) The
saleprice wor-rld
e
expected ince t
falls nside
the ower
and
urpper ences.
B) This
value falls
outsicle lre
upper fence
and is considered
an outlier.
C) This value falls
outside
of the
third quartile,
but
cannotbe
considered
an outlier.
D)
This sale
price
falls
between
he ower
and
upper fences.
t
can be conside red
a
potential
outlier.
20)
(5
points)
A
survey oi 1877
American
households
ound
that
69%of the households
own
a computer.
clentifv
the
population,
he sample,
nd the ndividuals
n the
str.rdv.
-
8/10/2019 Sample Exams - Aaec 3401
5/32
-
8/10/2019 Sample Exams - Aaec 3401
6/32
22) (7 poit t ts) The r,r 'eishts
ir i
pror"rnds)
f 35
presclroolchildrerr are l isted bclon,
25 2a 26 26.\ 27 27 27.5 28 28 28.r
29
29.10 3L l i0 .5 i ] 31 32 32 .532 .1
33 33 3.1 3,t .5 35 35 37 37 i.q 38
40 42 13
.14.6
48
a) I j ind the first c1ualt i lr...how il oi
voul
r:alcul;rt ions.
b) F ind thc th i lc l
ouar t i l c .
S i ror . r ' i l o f
vour
ca lcu la t ions
c) Find the intertprart i lc larrge of t ire 35 n'eights l istecl rbtrve.
Siron' r,or-rLalcr-r lat jons
-
8/10/2019 Sample Exams - Aaec 3401
7/32
23) (-l0points)Listed
be'lor,r,re ire
AC'i 'scores
f 40 ranclon.rlv
elected
trrder.rtst a
n.rajor
-rniversitr
18 22 13 15 24 24 20 19
19 12
1 6 2 5 1 4 t 9 2 1 2 3 2 5 1 8
1 E 1 3
2 6
7 6 2 5 7 a 1 9 1 7 1 8 1 5
1 3 2 1
19 19 11 24 20 21 23 22 19 17
a) Constrr-rctireqnencv
listribrrt iorrableshou,ing
lass irnits
12-i3,
14*15,
. . ,26-27),reclr-tencv,
nd relative
irequenct,.
b) Constmct a rclat ir ' ' c 'rocluenc\,
n1 grlprh of the clata inclr-rde.rprpropnate
abels ancl a
t it ie)
c)
f the
universit l, ,\ 'antso .rccepthe top 90'X,
f
the
"rpplic.rnts,vhat
shor-rld
hc rninimum
score
e?
d) I f the
r-rniversitv
ets
he minimrlm
score at 18, vvirat
Lrercent
f the applicants vvil lbe
acceptecl?
-
8/10/2019 Sample Exams - Aaec 3401
8/32
24)
(8
points) T'lre
reigl 'r ts
in
inchcs)
rr i 6 adr-r ltmales
are l isted
belou.. Find thc- arlprlc variance
and standard
dcviat ion.
Shou' the
forr-nula(si -rse.d
nd all of
vour cil lci-r lat ior-rs.
65
73
r.4 bi
79 ;1
-
8/10/2019 Sample Exams - Aaec 3401
9/32
AAEC
340l ,Test#2
MWF
Name
SS#
Show
all of
vour
work for
the naffative
questions
nd
problems.
No
points
will be
given
or
an
answerwithout
showing how the answer
was obtained.
Draw diagrams
with
labels
or the
axes)
whereappropriate o help explain your answers. Be sure o put units of measurementor your
answers.Points or
each
question
are shown n
parentheses.
1.
(4 points)
a)
Draw
a scatter
lot
for the correlation
of Y and X where
: 0.10.
X
b) Drawa scatter
lot
or thecorrelation
f Y andX
where :
-0.94.
Y
Y
X
-
8/10/2019 Sample Exams - Aaec 3401
10/32
2.
(I0 points)
An
economistestimates regression
quation
o relate he
price
of a house o its
square ootage
area
of the heated
pace nside
he house). The data
used o estimate
he
equation
and the estimatedequation
are shown below.
Y=House rice
X=Square ootage
($1,000's)
80000
100000
125000
1
50000
11
0000
90000
a) What is the value
of the
Estimated
east-squares
egression
equation:
y
:18,790
+ 56.78x
1
100
1400
1500
2100
1
900
1
550
intercept
n the east-squares
egression
quation?
b) Can the intercept
be
interpreted
and explain
why or why not?
Interpret
he
ntercept
n oneor two
sentences.f that's
appropriate.
c) What is
the value of the slope n
the
east-squares
egression
quation?
Interpret he slope n
one or two sentences
Be
sure o
provide
a
precise
numericalexplanation
f
the
slope).
-
8/10/2019 Sample Exams - Aaec 3401
11/32
3.
(10
points)
The scores
n a testhaveamean
of
p:
100anda
standard eviation
f o: 15. If
a
personnel
manager
wishes o select rom
the top 75o/o
f applicantswho
take he test, ind
the
cutoff
score. Assume he variable
test
score) s normally
distributed.
Use a diagram
(with
labels) to il lustrate
your
answer.
4. (10 points)Theyield of a cottonvarietyhas a meanof p : 300poundsper acreand a standard
deviationof o: 90
poundsper
acre. What s
the
probability
hat he mean
yield
will be between
350 and
400
poundsper
acre? Assume he variable
test
score) s normally
distributed.
Use a
diagram
(with
labels)
o illustrate
your
answer.
5.
(10
points)
Consider
he
following
game
of chancewhere
a
player
rolls a
pair
of fair dice. If
the
player
olls2,
3,4, or 10, he
player
oses
5.
If the
player
olls5,
6, 8, 9,7I, or 12,
he
player
eceives
0
(i.e.,
eceives
othing). f
the
player
olls
a7,the
player
wins
$5.
a) Construct
a
probability
distribution
hat describeshe
game with
appropriate
eadings or
the
columns).
b) Compute he expected
alue of the
game
rom
the
player's point
of view. Show
he formula
usedand all
of
your
work.
6.
(6
points)
The data
below are or the
price
of a houseand he
square ootage
of the house.
Y=House
rice
($1,000's)
X=Square ootage
80000 11
00
100000
1400
125000
1500
150000
2100
'110000 '1900
90000 1550
The
correlationcoefficient
betweenhouse
price
and square ootage s
0.80. Calculate
he
coefficientof
determination. nterpret he
coefficientof determination
n one
or two sentences.
-
8/10/2019 Sample Exams - Aaec 3401
12/32
AAEC
3407,Test#2
TR
Name
SS#
Estimated
east-squaresegression
equation:
j ' =492+4.8x
Show
all of
your
work for
the narrative
questions
nd
problems.
No
points
will be
given
for an
answerwithout
showinghow the
answerwas
obtained. Draw
diagrams
with
labels
or the
axes)
whereappropriate o help explain your answers.Be sure o put units of measurementor your
answers.Points
or each
question
are shown n
parentheses.
1.
(6 points)
Y X
5 8
7 9
2 4
a) Use
he dataabove o
calculate r*y.
Show all of
your
calculations.
b) Use he dataabove
o calculate x2.
Show all of
your
calculations.
2.
(10 points)
An
agriculturaleconomist
estimates regression
quation
o relatecrop
yield
to
nitrogen
use. The dataused
o estimate he
equationand
he estimated quation
are shown
below.
Y=Yield
X=Nitrogen
Plot
(pounds/acre)
(pounds/acre)
1
z
?
4
1200
1
000
1400
1250
1350
1 5 0
125
200
140
170
a) What is the value
of the ntercept n
the east-squaresegression
quation?
b) Can the intercept
be
interpreted
and
explain why or why
not? Interpret
he intercept n
one or
two
sentences,f that's appropriate.
c)
What is the value of the
slope n the east-squares
egression
quation?
Interpret
he slope n
one or two sentences
Be
sure o
provide
a
precise
numerical
explanation
f
the slope).
-
8/10/2019 Sample Exams - Aaec 3401
13/32
_
3.
(10
points)
The
scores n atest haveamean
of
p:
i00 and
a standard eviation
f o: 12.
Find
the two limits
(x1
and x2)
that
nclude
he middle
50% of test scores.Assume
he variable
(test
score) s normally
distributed. Use a diagram
(with
labels) o illustrate
your
answer.
4.
(10 points)
The
yield
of a cottonvarietyhas
a meanof
p:310
pounds er
acre
anda standard
deviation
of o: 80
poundsper
acre. What
s the
probability
hat he meanyield will be above
375
poundsper
acre? Assume
he variable
test
score) s normally
distributed. Use a
diagram
(with
labels) o illustrate
your
answer.
5.
(8
points)
An Excel regression
utput s shown
below.
Y=HousePrice
X=Square
($1,000's)
Footaqe
11 0 0
1400
1
500
2100
1900
1
550
SUMMARY
OUTPUT
Regresslon
Sfafisfics
80000
1
00000
125000
150000
I 10000
90000
Mult iple
R Square
AdjustedR
Square
StandardError
Observations
0.80170942
0.642737995
0.553422493
16960.84738
h
ANOVA
df
SS
MS F
Siqnificance
F
Regression
Residual
Total
1
2070151958 2070151958
7.196265
0.05508
4 1150681376
287670343.9
5 3220833333
Coefficients
Standard
Error
f
Sfaf
P-value
Intercept
X=SquareFootage
18789.74692
34394.42715 0.546302075
0.613901
56.7813'1084 21.16663631
2.682585461
0.05508
Read he Excel regression
utput
(above)
o
answer he following
questions.
a) What is the correlationcoefficient?
b) What s the coefficient
of determination?
c) What s
the ntercept
b0)
in the east-squares
egression?
d) What is
the slope
b1)
in the east-squares
egression?
-
8/10/2019 Sample Exams - Aaec 3401
14/32
-
8/10/2019 Sample Exams - Aaec 3401
15/32
Test 2 Multiple Choice
MULTIPLE
CHOICE
(1.7
points each). Choose he one alternative that best completes he
statement or answers he question.
1) A die is rolled. The set of equally likely outcomes s
{1,
2,3,4,5,
6}.
Find the probability
of
getting
a 3.
A ) 3 D ) 0
2) For a standard normal curve, find the z-score
that separates he bottom 90% from the top 10%.
A) 0.28 B) 1.28
c) 7.52 D) 2.81
3) Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. t is known
that the amount of beer
poured by this filling machine follows
a
normal
distributi on with a mean of 12.37ounces and a standard
deviation of 0.04 ounce.
The
company
is interested
n reducing the amount of ex tra beer that is poured into
the
12
ounce bottles.
The
company
is
seeking o
identify
the highest 7.5% of the fill amounts poured
by this
machine.
For what fill amount are they searching?
A) 12.457 B) 11.913
c) 72.087 D) 12.283
B)+
o
q+
4)
In terms of probability, a(n)
A)
Sample space
-
is any processwith uncertain
C)Experiment
results
hat can be repeated.
D) Outcome
) Event
-
8/10/2019 Sample Exams - Aaec 3401
16/32
5) Given t he table of probabilities
for the random variable x,
does his form a
probability
distribution? Answer
Yes or No.
x
t.,
7 2
J
4
P(x)
0.02 0.07 0.22 0.27
0.42
A)Yes
B) No
A random
variable X is normally
distributed with
Fr
=
50.
Convert the
value
of X to
aZ-score,
if
the standard
deviation
is
as
given.
6 ) X : 6 3 ; o = 3
A ) 2 0
B ) 1
C ) 6 3
D ) 3
7) Find
the area under the standard normal
curve between z
=
0
and z
=
3.
A) 0.9987
B) 0.4641
C) 0.4987
D) 0.0010
8) A large national bank charges ocal companies or using its services.A bank official reported the results of a
regression
analysis designed to predict the bank's charges y),
measured n dollars per month,
for services
rendered
to local companies.One independent
variable used to predict
service charge o a company is
the
company's sales evenue
(x),
measured n millions
of dollars. Data for 21
companies who use the
bank's services
were used to fit the model
y:
l3O Prx.
The results
of the simple linear regressionare provided
below.
Y=2,700+20x
Interpret the estimate of
pg,
the
y-intercept of the line.
A) All companies
will be charged at least
$2,700
by the
bank.
B) About 95o/" f the observed
service charges al l withi n
$2,700
of the
least
squares ine.
C) For every
$1
million increase n
sales
evenue,
we expect a service
charge o increase
$2,700.
D) There is no practical interpretation
since a sales evenue
of
$0
s
a nonsensicalvalue.
-
8/10/2019 Sample Exams - Aaec 3401
17/32
9) The least
squares egression ine
A) Minimizes
the sum of the residuals
squared
B) Maximizes
the mean difference
between the residuals
squared
C) Maximizes the
sum of t he residuals squared
D) Minimizes
the mean difference
between the residuals
squared
10) The random
variable x represents he number
of tests hat
a
patient
entering a hospital
will have
along with the
corresponding probabilities.
Find
the
mean
and standard
deviation for t he random
variable x.
A) mean:
1.59;standard deviation:
3.72
C)
mean:
2.52: standard deviation:
1.93
11) Which o f the following cannot be a probability?
B) mean:
3.72; standard deviation: 2.52
D) mean: 1.59;
tandarddeviation:1.09
c ) 0
D) 0.001
E
A)Y
R \
-R5
12) High
temperatures n a certain
city
for
the month of August
follow a uniform
distribution over
the
interval
65'F
to
90'F. \zVhats the probability
that a randomly selected
August day has a high
temperature that
exceeded
70'F?
A) 0 . 8 B)
0.2
c )0 .04
D)
0.4516
13) A researcher
determines that the linear
correlation coefficient s
0.85 or a
paired
data
set.
This
indicates
that
there is
A) A strong positive linear correlation
B)
A strong negative linear
correlation
C) No
linear
correlation
but that there may be some
other relationship
D) Insufficient
evidence to make
any decision about
the correlation of the
data
14) The highest
point on the graph
of the normal density
curve
is
located at
x
l 0
1 l 2 l 3 l 4
5 l 6 l 2 l 1
1 7 l 1 7 l 7 7 l 7 7
A ) p r + o
B) An inflection
point C) Its mean
D )
p + 3 o
-
8/10/2019 Sample Exams - Aaec 3401
18/32
Make
a scatter
diagram
for
the
data. Use the
scatter diagram
to describe how, if
at all,
the
variables
are
related.
is)
Subject
x Time watching
TV
y
Time
on Internet
A)
r
6
6
9
1 1
B C D E
5 3 8
8
9 5 7 4 1 5
C
7
15
B)
D)
)
2 4
6 8 1 0 1 2 4 1 6 1 8 2 0
The variables
appear to
be
negatively,
linearly related.
2 4
6 8 1 0 1 2 1 4 1 6 1 8 2 0 x
The variables
do not
appear to be
linearly
related.
l 8
l 6
1 4
1 2
l 0
8
6
4
2
20
l 8
l 6
t 4
t 2
l 0
8
6
4
2
20
1 8
l 6
t 4
1 2
l 0
8
6
4
2
20
l 8
l 6
1 4
t 2
l 0
8
6
4
2
15
35
I O
9
6
4
2
I J
The
variables do not
appear to
be
linearly
related.
2 4 6
8
1 0 1 2 1 4 1 6 1 8 2 0 x
The
variables appear
to be
positively,
linearly related.
16) The table below representsa random sample of the number of deaths per 100cases or a certain llness over
time. If
a
person
infected
with this illness
s randomly
selected rom
all infected
people, find
the probability
that
the person
lives 3-4 years
after diagnosis.
Number deaths
1- 2
3-4
5-6
7-8
9-10
77-12
13-14
15+
7
A)
-- ;
0.058
I zU
? 5
B)
fr;
o'3s
? 6
C)
;0.s38
o3
D I;o.ozg
JJ
17) True
or False: The
area under
the normal
curve drawn
with regard
to the population
parameters
s the
same as
the proportion
of the population
that has these
characteristics.
2
4 6
I
t 0 1 2 1 4 1 6 1 8 2 0 x
A)
False
B) True
-
8/10/2019 Sample Exams - Aaec 3401
19/32
18) Find the area under the
standard normal curve betwe
en
z
=
7 and z
:
2
A) 0.5398 B)
0.1359
c) 0.8413
D) 0.213e
19) An instructor wishes
to determine if there is a relationship
between the number
of absences rom his
class and
a
student's final grade in
the course. What is the
predictor
variable?
A) Absences
C) The nstructor's oint scale or attendance
B) Student's performance
on the final
examination
D) Final Grade
20) If the coefficient
of determination is close to 1, then
A)
The linear correlation coefficient s
close o zero.
B) The least
squares egression ine
equation explains most of the
variation in the response
variable.
C) The least
squares
egression
ine equa tion has no
explanatory value.
D) The sum of the square residuals
s large compared to
the total variation.
21 )G i ven t heequa t i ono f a reg ress i on l i ne i sy=3* - l 0 , wha t is t hebes t p red i c t edva lue f o ryg i venx=2?
A) 16 B)
-5
C) 17
D)
-4
-
8/10/2019 Sample Exams - Aaec 3401
20/32
The
scatter diagram shows the relationship
between average number
of years
of education and
births
per
woman
of child
bearing age
n
selected countries.
Use the scatter
plot
to determine whether
the statement is
true or
false.
22)
Births per Woman
2 4 6 8 1 0 1 2 1 4
Average number
of
years
of education
of Married Women
of Child-Bearing Age
There is a
strong positive correlation
between years of education
and births per
woman.
A) False
B) True
probabilityof an outcome s
obtained y
dividing the requency
f occurrence
f an event
by the number of trials
of the experiment
A)Condi t ional
B)
Subjective
C) Classical
D)Empirical
24)
A physical fitness association s including
the mile run in
its secondary-school
itness test. The
time for this
event for boys in
secondary school s known
to possessa normal
distribution with
a
mean
of 450
secondsand a
standard
deviation of 60 seconds.Find
the
probability
that
a
randomlv
selected
bov in secondarv
school can run
the mile in l ess
han 312 seconds.
A) .e893 B) s107 c) .48e3
D) .0107
25)
Classify the following random
variable according to
whether it is discrete
or continuous.
The height
of a player on a basketball
team
A)
continuous
23)
The
B)
discrete
-
8/10/2019 Sample Exams - Aaec 3401
21/32
26) Is there a relationship
between the raisesadministrators
at StateUniversity receive
and their performance on
the iob?
A faculty group
wants to determine whether
job
rating
(x)
is a useful linear predictor
of raise
(y).
Consequently,
the group
considered he straight- line regress ion
model
i = p o * p r *
Using the method of least squares, the faculty group
obtained
the
following
prediction equation:
Y
:14,000
-
2,000x
Interpret the estimated
slope of the line.
A) For a 1-point increase n
an administrator's rating,
we estimate he administrator's
raise to decrease
$2,000.
B)
For a 1-point increase n
an administrator's rating,
we estimate he administrator's
raise to increase
$2,000.
C) For a
$1
ncrease n
an administrator's raise, we
estimate he administrator's
rating to decrease2,000
points.
D) For an administrator
with a rating of 1.0,we estimate his/her
raise o be
$2,000.
27)This
problem dea ls with eye
color, an
inherited
trait. For purposes
of this problem,
assume hat only two
eye
colors are possible,
brown and blue. We use b to represent
a blue eye gene
and B a brown eye gene.
f any B
genes
are
present,
the person will have
brown eyes. The table
shows the
four
possibilities for
the children of two
Bb
(brown-eyed)
parents,
where each parent has
one of each eye color gene.
SecondParent
B b
First
Parent B
b
Find the probability
that
A ) 0
theseparents give
birth
1
B ) -
+
to a child who has
blue eyes.
c ) 1
BB
Bb
Bb
bb
D)+
-
8/10/2019 Sample Exams - Aaec 3401
22/32
-
8/10/2019 Sample Exams - Aaec 3401
23/32
AAEC 3401, est#3
TR
Name
SS#
Show all of
vour
work
for
the narrative
questions
nd
problems.
No
points
will be
given
for
an
answer without showing how the
answer was obtained. Draw
diagrams
with
labels or
the axes)whereappropriateo helpexplainyour answers.Be sure o put units of measurement
for
your
answers.Points or each
question
are shown n
parentheses.
1.
(10 points)
A new variety
of
plums
was
developed nd est reeswere
planted
and
grown
to
produceplums.
The weight
of
plums
rom 6 treeswas measured
nd he sample
averageweight
of a
plum
is
shownbelow.
Tree Weight
ounces)
1
3 . 5
2 4 .0
a a -
J J . Z
4 3 . 9
s
3 . 6
6= 4.2
x . . . . . . . 3 . 7 5
s . . . . . . . . . 3 8
A commercial
rchardwould ike to determine hether
he new
plum
has
a highermeanweight
than
heestablished
currently
rown)plum
hathasa meanweight
of
p:3.25
ounces.
Carry out a test of the relevant null hypothesis
o determine
whether the mean weight
of the new
plum
is higher han
hat of the established
cunently
grown) plum.
Show all
4
stepsof test
of a
hypothesis, 1) null and alternative hypotheses; 2) critical value; (3) calculatedvalue; (4)
conclusion.Be sure o clearly number
your
steps.
Use he
*:r*Classical
Approach'(tr'