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MATH 2101/ExamI
7/3/07
Name ..)Jol,'." ~ U
MUL nPLE CHOICE. Choosethe one alternative that best completesthe statement or answers the question.
Determine whether the given value is a statistic or a parameter.
1) A sample of 120employees of a company is selected,and the averageage is found to be 37 years.
(B Statistic
1)
L
2)
lL
3)
.£2_-
B) Parameter
Identify the number as either continuous or discrete.
2) The averageheight of all freshmen entering college in a certain year is 68.4inches.
~ Continuous
B) Discrete
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.
3) The sample of spherescategorized from softest to hardest.
A) Ratio
C) Interval
~rdinal
D) Nominal
4) Salariesof college professors.
A) Ordinal
4)b
C) Nominal
@atio
D) Interval
Perform the reauested
conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a
percent, if necessary.
5) Convert 0.4to an equivalent fraction and percentage.
~,
4%
B) -To, 40%
~,
5)
40%
3
D)W'
L
4%
Identify the type of observational study.
6) A statistical analyst obtains data about ankle injuries by examining a hospital's records from the
past 3 years.
A) Cross-sectional
B) Prospective
@etrospective
6) L
D) None of these
Is the study experimental or observational?
7) A marketing firm does a survey to find out how many people use a product. Of the one hundred
people contacted,fifteen said they use the product.
A) Experimental
7) -:12--
@Jbservational
Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience.
8) 49,34, and 48 students are selectedfrom the Sophomore,Junior, and Senior classeswith 496,348,
and 481 students respectively.
A) Convenience
B) Cluster
C) Random
D) Systematic
(ffj)Stratified
1
8)
~
Solve the problem.
9) The following frequency distribution
analyzes the scores on a math test. Find the indicated class
9)
midpoint or boundaries.
NUMber of'
Scores
st:udent:s
49-59
2
69-75
4
76-82
6
83-94
15
95-99
5
Theclassmidpoint of scoresinterval 40-59
(!) 49.5
B) 50.5
D) 48.5
C) 49.0
10) Using the employment information in the table on Alpha Corporation, determine the width of each
10)
class.
Yearsemployedat Alpha Corporation
ClassLimits
Frequency
(yearsof service) (No. of employees)
1-5
5
6 - 10
20
11- 15
25
16- 20
10
21- 25
5
26- 30
3
B) 6
A) 4
@
D) 10
Construct the cumulative frequency distribution that corresponds to the given frequency distribution.
11)
11)
Number
Speed of balls
0 - 29
30 - 59
4
16
60- 89
90 - 120
60
20
A)
B)
Cumulative
Speed
0 - 29
30 - 59
60 - 89
90 - 120
C9
Cumulative
Frequency
.04
.20
.80
100
Speed
0 - 29
30 - 59
60- 89
90 - 120
Frequency
100
80
82
4
D) None of the above
Cumulative
Speed Frequency
0 - 29
4
30- 59
20
60- 89
80
90- 120
100
2
7,.::-c.
A nursemeasuredthe blood pressureof eachpersonwho visited her clinic. Following is a relative-frequencyhistogram
for the systolicblood pressurereadingsfor thosepeopleagedbetween25and 40.Usethe histogramto answerthe
question.The blood pressurereadingswere given to the nearestwhole number.
12) Identify the center of the third class.
A) 120
12)
B) 130
C) 124
D
§25
Use the circle graph to solve the problem.
13) A survey of the 5589 vehicles on the campus of StateUniversity yielded the following pie chart.
13)
A
Motorcycles
9%
Convertibles
Hatchbacks
36%
16%
/
Sedans
Pickups
6%
25%
What percent of the vehicles are hatchbacks?
c:3'J!6%
B) 25%
C) 8%
D) 201%
Find the original data from the stem-and-leaf plot.
14)
14)
4
19
55
B) 35,31,39,41,51,55
D) 31,35,31,49,59,55
3
-.fL
Find the meanfor the given sampledata.
iJ
15)
15) Six collegebuddies bought each other Christmas gifts. They spent:
$122.34 $233.13 $222.32
$130.44 $165.25 $197.41
What was the mean amount spent?Round your answer to the nearestcent.
A) $202.18
B) $267.72
C) $214.18
@$178.48
Find the mean of the data summarized in the given frequency distribution.
16) A company had 80 employees whose salariesare summarized in the frequency distribution below.
c
16)
Find the mean salary.
Salary ($) Employees
5,001-10,000
16
f4
£f\~
Ilt':7]001c~
"1-
fz.oooce
10,001-15,000
14
f2'fOJ\5
r~'jo.9,
15,001-20,000
15
17
!1-'f<"S
ro t
$1'::?7c6-:;
0
25 001-30 000
18
2.'t:,t).'),5
20,001-25,000
"
A) $19,731.25
B) $17,500'11-10.) I tj
-
'"R
~Rt{o
~
0
\
:f';;
;::
1+9"31/ 5
~::;Cv9: SO 18 2..~~5
h
"-9 $17,937.50 445"0\]1" D) $16,143.75
Find the standarddeviation for the given data.Roundyour answerto onemore decimalplacethan the original data.
~
17)2,6,15,9,11,22,1,4,8,19
A) 6.3
17) ~
B) 2.1
. . rule to solvethe problem.
Usethe empmcal
C) 7.1
6(
- leo -
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Ill-
--
D) 6.8
~
2
I
'2~-.,., (vI((2-
-I
18) The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120
mmHg and a standard deviation of 12 mmHg. What percentageof 18-year-old women have a
systolicbloodpressure
be~~~\Hg
A) 99.99%
l~~~sy
and144mm~,
~~~
Z0
=-
2-
18)
~
D) 99.7%
Find the z-scorecorrespondingto the given value and usethe z-scoreto determinewhether the value is unusual.
Considera scoreto be unusualif its z-scoreis lessthan -2.00or greaterthan 2.00.Roundthe z-scoreto the nearesttenth
if necessary.
19) A test scoreof 54.0 on a test having a mean of 73 and a standard deviation of 10.
A) -1.9; unusual
19)
B) 1.9;not unusual
(§)-1.9;notunusual
D) -19; unusual
~
Find the indicated measure.
-=
~9-2(v
--
-1.9
20) Use the given sample data to find QJ.
20)
4952525274675555
(~~~)
~
B) 6.0
C) 67.0
4
D) 55.0
JL
Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.
21) The weights (in pounds) of 30 newborn babies are listed below. Construct a boxplot for the data set.
5.5 5.7 5.8 5.9 6.1 6.1 6.3 6.4 6.5 6.6
6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2
7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
21)
l
G
~
~
5.5
6.4
I~--7.0
-1
7.7
B)
~--1
s.s
6.4
~ 1
5.5
7.0
7.7
I~
6.3 7.0
~ ~
1.5
H
I
8.0
-i
7.7
1~
6.4
8.7
1
7.67.7
8.7
Find the percentile for the data point.
22) In a data set with a range of 66.5to 121.4and 200 observations,there are 138 data points with
values lessthan 87.7.Find the percentile for 87.7.
-~
A) 32
B) 138.43
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of-
D) 424
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2.00
5
-
69
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