Quantitative Method
Practice Exam 1
Question 1 (3 marks)
At a hospital nursing station the following information is available about a patient.
o
Temperature:
30.2 C
Blood Type:
A
Response to treatment: Excellent
Indicate the level of measurement (nominal, ordinal or interval) of each variable.
Question 2 (2 marks)
At a used car lot the following information is obtained about one of the cars on the lot.
Model year:
2003
Gas consumption (per 100 Km):
9.8 liters
Indicate if the data is discrete or continuous for each variable.
Question 3 (4 marks)
Indicate what research strategy is used in each of the following situations.
a) To determine the effect of a new fertilizer on productivity of tomato plants one group of plants
is treated with the new fertilizer while a second group is grown without such treatment. The
number of ripe tomatoes produced by each group is counted.
b) A sociologist joins a group of homeless people to study their way of life.
c) A linguist studies the content of different Web sites and rates their level of English.
d) A company sends a satisfaction questionnaire to its current customers at the end of the year.
Question 4 (3 marks)
Consider the following cross-tabulation:
Table 4.1: Number of health workers by type of residence
Type of Health Worker
Residence
Doctors
Nurses
Rural
22
69
Urban
51
113
a) According to these data, can we say that Nurses have a stronger tendency than Doctors to
establish themselves in urban area?
b) In the context of the previous question, which is the independent variable and which is the
dependent variable?
c) What percent of the sample live in urban area?
Question 5 (2 marks)
Consider the following data: 17, 22, 41, 12, 60, 19, 26, 74, 22, 30, 51.
Find (a) the mean, (b) the sample standard deviation, (c) the population standard deviation, and
(d) the percentile rank of 45.
1
Question 6 (2 marks)
Level of Schooling
Total population aged 20-34
% of the population aged 20-34 with a trades certificate
Total population aged 35-44
% of the population aged 35-44 with a trades certificate
Total population aged 45-64
% of the population aged 45-64 with a trades certificate
Total
3,140
6.1
2,865
9.4
4,730
8.4
Using the above data, determine what percentage of the population aged 20-64 has a trade
certificate. Show all your calculations.
Question 7 (6 marks)
Consider the following data:
Class Interval
40-46
33-39
26-32
19-25
12-18
Total:
a)
b)
c)
d)
f
4
8
12
9
7
40
Determine the cumulative percentage of the class interval 26-32.
Determine the midpoint of the class interval 26-32.
Determine the proportion of the class interval 26-32.
Determine the percentile rank of the value 39.
Question 8 (4 marks)
Consider the following data:
Class Interval
49-56
41-48
33-40
25-32
Total:
f
15
9
12
4
40
a) Draw the corresponding frequency polygon.
b) Draw the corresponding histogram.
Question 9 (4 marks)
Consider the following data:
40, 52, 21, 48, 21, 14, 31, 48, 34, 16, 28, 51, 41, 30, 18, 22, 43, 23, 19, 21
Construct a frequency table for this data by using 4 class intervals.
• Each class interval must have the same size.
• The first and the last class interval must contain at least one data.
2
QuantitativeMethod
PracticeExam1
AruswERS
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Question1 (3 marks)
At a hospitalnursingstationthe followinginformationis availableabouta patient.
Temperature:
:II{TERVAL
3O.2OC
BloodType:
A
NO}4TNAL
Responseto treatment:Excellent oRDxlsAL
(nominal,
lndicate
the levelof measurement
ordinalor interval)
of eachvariable.
Question 2 (2 marks)
At a usedcar lot the tollowinginformation
is obtainedaboutone of the carson the lot.
Modelyear:
2003
DI.SCRETF
(per100 Km):
Gas consumption
9.8 liters Cofj f CIJ\JOi,!S
Indicateif the data is discreteor continuoustor eachvariable.
Question3 (4 marks)
Indicatewhatresearchstralegyis usedin eachof the followingsituations.
a) To determinethe effectof a newfertilizeron productivity
ot tomatoplantsone groupof plants
is treatedwith the new fertilizerwhilea secondgroupis grownwithoutsuch treatment.The
numberol ripetomatoesproducedby eachgroupis cbunteO.
ExPERfng$f
b) A sociologistjoins a groupof homelesspeopleto studytheirway of life.
OBgERVATICN
c) A linguiststudiesthe contentof differentWeb sitesand ratestheirlevelof English. (.OflCA$T ANALySfS
questionnaire
d) A companysendsa satisfaction
to its currentcustomersat the end of the year. Sup.VEy
Question 4 (3 marks)
Consider
thefollowing
cross-tabulation:
Table4.1: Numberot heallh workers by type ot residence
Type of Health Worker
Residence
Doctors
Nurses
Rural
22 Cl-r.t%)
09 ( 3+.cJ'/o'
51 ( Gcl.tl'/.\
Urban
'+3 4 i
7")
113 (6 Z it.)
t$L Llrr./"
a) Accordingto thesedata,canwe say that Nurseshavea slrongertendencythanDoctorslo
LE/Ile
esrabrishrhemservesinurbanareai
No, D€fcQ6 F*ve * *iatteR PERCEATTAGF
b) In the contextof the previousquestion,whichislhe independent
variableand whichis lhe
dependentvariable?
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fu/{ ,. \dkA
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c) Whatpercent
ofthesample
liveihurban-area,
6< -S%
DEp: rgstdq,tCe
Question5 (2 marks)
C o n s i d etrh e f o l l o w i ndga t a :1 7 , 2 2 ,4 1 , 1 2 ,6 0 , 1 9 ,2 6 , 7 4 , 2 2 , 3 0 ,5 1 .
Find (a) the mean,(b) the samplestandarddeviation,(c) the populationstandarddeviation,and
(d) the percentilerank of 45.
Cou)34
Cb) 11'1s Cc) lg oz
I
Cd) 7L.+
E^,
I"QBA^J
A€EAS
Question6 (2 marks)
a tladescertlficate
a traOesCertiticate
Using the above data, determinewhat percenta0g*lte population
aged 20-64has a trade
certificate.Show all your calculations.
@D
Question7 (6 marks)
Considerthe followingdata:
7,
Class lnterval
40-46
33-39
26-32
19-25
12-18
4
8
12
9
7
o.l
az
o.:>
o25
o.r"5
Lolc
iO
?J)
i3o
,2.5
l-t,5
Qc
+()
4t>
ta.5
roo
a)
b)
c)
d)
Determine
thecumulativepercentage
of theclassinterval26-32. aO%
Determine
the midpointof theclassinterval26-32.
Za
Determine
the proportionof theclassinterval26-32.
O,_)
Determine
the percentilerankof thevalue39.
q O
Question8 (4 marks)
Considerthe followingdata.
Class lnterval
49-56
41-48
33-40
25-32
15
I
12
4
f)
$'t
g
Total:
s
$
a) Drawthe corresponding
frequency polygon.
b) Drawthe corresponding
histogram.
Question9 (4 marks)
s'
Ftg"re !
t+Ct11rur,*t+Freesurrtc5[r&g11o6
Considerthe followingdata:
40,52,214
, 9 , 2 1 ,1 4 , 3 1 , 4 9 , 3 4 , 1 6 , 2 9 , 5 1 , 4310, , 19 , 2 2 , 43,23,
19,2 1
'l
Constructa frequencytablefor this data by usinq4 class intervals.
.
Eachclass intervalmust havethe same size.
.
The firstand the lastclassintervalmust containat leastone data.
nA,ar^g prsLbt< crr,tskiCl^S- . .
-ltitrg's vn-An^g .
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