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Quantitative Methods

QMS 102

Changping Wang

Fall

Description

Business Statistics (QMS102)
NOTE: Questions 1-5 are based on the following data in Table
B: The “Household expenditures, by selected metropolitan
area: (Halifax, Saint John)” data that was published by
Statistics Canada.
Table 1- Household expenditures, by selected metropolitan area
(Halifax, Saint John) 2007
Halifax Saint John
Expenditures per Expenditures per
household household
$ $
Food 7,198 7,073
Shelter 13,337 11,745
Household Operation 3,547 3,138
Household furnishing 2,055 1,541
and equipment
Clothing 2,936 2,717
Transportation 9,357 10,745
Health care 1,903 2,044
Personal care 1,232 1,011
Recreation 3,989 3,458
Reading materials and 277 224
other printed matter
Education 1,605 981
Tobacco products and 1,692 1,471
alcoholic beverages
Games of chance (net 232 157
amount)
Miscellaneous 1,071 1,007
Personal income taxes 13,848 14,198
Personal insurance 4,236 4,351
payments and
pension contributions
Gifts of money and 2,446 1,388
contributions
Source:Statistics Canada, CANSIM, table (for fee) 203-0001 and
Cataogue no. 62F0026MIE
Last modified: 2008-12-22
Page
1 Question 1 The coefficient of variation for “the expenditures per
household living in Halifax’’ is
a) 98%
b) 102%
c) 110%
d) 91%
e) None of the above
Question 2 The coefficient of variation for “the expenditures per
household living in Saint John’’ is
a) 98%
b) 102%
c) 110%
d) 91%
e) None of the above
Question 3 Which city has relatively more varied expenditures per
household: Halifax or Saint John?
a) Halifax
b)Saint John
c) Both have the same amount of variability
d) All of the above
e) None of the above
Question 4 Which measures of central tendency would be a better
measure, mean of median, to represent the data on the “the
expenditures per household living in Halifax ’’?
a) mean
b)median
c) both mean and median
d) neither mean nor median
e) None of the above
Question 5 What would you say that the distribution of the data on
the “the expenditures per household living in Halifax’’?
a) skewed left
Page
2 b) skewed right
c) symmetric
d) All the above
e) None of the above
For question 6, refer to Table E: Marriages by provinces and territories
that is published by Statistics Canada.
Table E: Marriages by Province and territory
Number of Marriages
2004 2005 2006 2007 2008
Newfoundla 2,850 2,806 2,752 2,698 2,797
nd
PEI 827 829 828 831 824
Nova Scotia 4,729 4,698 4,667 4,633 4,687
New 3,708 3,686 3,646 3,622 3,669
Brunswick
Quebec 21,279 22,244 21,900 22,650 22,400
Ontario 64,114 64,677 65,170 65,483 64,959
Manitoba 5,710 5,732 5,746 5,796 5,767
Saskatchew 5,011 5,000 4,995 5,080 5,080
an
Alberta 17,909 18,392 19,060 19,837 19,100
British 22,080 20,007 20,660 20,697 20,770
Columbia
Yukon 160 159 160 158 161
Northwest 141 140 138 139 138
Terrotories
Nunavut 67 69 70 71 71
Source: Statistics Canada, CANSIM, table (for fee) 053-0001
Last Modifed: 2009-06-23
Question 6 For 2006, which province has the 33 percentile of
number of marriages?
a) Yukon
b) Newfoundland
c) Prince Edward Island
d) Northwest Territories
e) None of the above
NOTE: Questions 7 to 17 are based on the following data.
Blood cocaine concentration (mg/L) was determined both for a sample
of individuals who had died from cocaine-induced excited delirium (ED)
and for a sample of those who had died from a cocaine overdose
Page
3 without excited delirium (non-ED); survival time for people in both
groups was at most 6 hours. The accompanying data comes from
“Fatal Excited Delirium Following Cocaine Use” (J. of Forensic Sciences,
1997: 25-31).
Non-ED: 0.0, 0.0, 0.0, 0.0, 0.0, 0.1, 0.1, 0.1, 0.1, 0.2, 0.2, 0.2, 0.3,
0.3, 0.3, 0.4, 0.5, 0.5, 0.6, 0.8, 0.9, 1.0, 1.2, 1.4, 1.5, 1.7, 2.0, 3.2, 3.5,
4.1, 4.3, 4.8, 5.0, 5.6, 5.9, 6.0, 6.4, 7.9, 8.3, 8.7, 9.1, 9.6, 9.9, 11.0,
11.5, 12.2, 12.7, 14.0, 16.6, 17.8.
ED: 0.0, 0.0, 0.0, 0.0, 0.1, 0.1, 0.1, 0.1, 0.2, 0.2, 0.3, 0.3, 0.3, 0.4, 0.5,
0.7, 0.8, 1.0, 1.5, 2.7, 2.8, 3.5, 4.0, 8.9, 9.2, 11.7, 21.0.
Help a medical expert to construct a box-whisker plot for the cocaine-
induced excited delirium (ED) data by stating the value of each of the
following: (If necessary, round your answer to one decimal
place. All answers are in mg/L)
Question 7 The mean is
a) 4.3
b) 2.6
c) 0.4
d) 1.6
e) None of the above
Question 8 Use the method of the recommended (i.e. Casio or TI or
Sharp) calculator to obtain the first quartile.
a) 0.0
b) 0.2
c) 0.3
d) 0.1
e) None of the above
Question 9 Use the method of the recommended (i.e. Casio or TI or
Sharp) calculator to obtain the third quartile.
a) 7.9
b) 2.8
c) 3.1
d) 9.0
e) None of the above
Question 10 The median:
a) 0.4
b) 1.6
c) 6.2
Page
4 d) 7.6
e) None of the above
Question 11 The interquartile range:
a) 7.6
b) 4.5
c) 2.7
d) 6.4
e) None of the above
Question 12 The right inner fence:
a) 20.8
b) 6.9
c) 19.3
d) 14.9
e) None of the above
Question 13 The right outer fence:
a) 30.5
b) 26.2
c) 30.7
d) 10.9
e) None of the above
Question 14 The smallest value on the left whisker (i.e. the left
whisker ends at what value):
a) 0.0
b) 0.1
c) - 4.0
d) - 8.0
e) None of the above
Question 15 The largest value on the right whisker (i.e. the right
whisker ends at what value):
a) 17.8
b) 11.5
c) 4.0
d) 10.5
e) None of the above
Question 16 State the value of each outlier:
a) None (No Outlier value)
b) 8.9
c) 9.2
d) b and c
e) None of the above
Page
5 Question 17 State the value of each extreme:
a) 11.7
b) 21.0
c) a and b
d) None (No extreme value)
e) None of the above
Question 18 In a survey the respondent is asked to report the postal
code of where s/he is living. The scale of measurement used is:
a) Nominal
b) Interval
c) Ratio
d) Ordinal
e) None of the above
Question 19 A questionnaire asks the respondent how many children
s/he intends to have. The scale of measurement for this question is:
a) Nominal
b) Interval
c) Ratio
d) Ordinal
e) None of the above
Question 20 In a survey the respondent is asked to rank a movie star:
1 = strongly dislike, 2 = dislike, 3 = neutral, 4 = like, 5 = strongly like.
The scale of measurement used is:
a) Nominal
b) Interval
c) Ratio
d) Ordinal
e) None of the above
Question 21
What is your current browser?
IE 4.0 or higher
Older than IE 4.0
Page
6 Netscape 4.0 or higher
Older than Netscape 4.0
None of the above
Refer to the question above being asked on the survey form by
Ryerson University. What is the measurement scale of the response
data?
(a) Ordinal
(b) Interval - Continuous
(c) Ratio – Discrete
(d) Ratio – Continuous
(e)Nominal
Question 22 For the date set with L=3.30 and H=3.68, which of the
following could be the last class of the frequency distributions?
a) 3.60 and under 3.70
b) 3.65 and under 3.70
c) 3.60 and under 3.80
d) 3.30 and under 3.35
e) None of the above
Note: Questions 23 and 24 are based on the following data.
The following stem-and-leaf display shows the number of text
messages sent last month by the 50 cellular phone users on one floor
of a college dormitory.
The number of text messages sent last month
Page
7 Stem
(tens) Leaf
8 8
9
10 5 6 6 8 9 9 9
11 2 2 2 3 4 5 6 7 8 8 8 9 9 9
12 1 1 2 2 2 3 4 4 6 6 6 6 6 9
13 0 2 3 3 4 9 9
14 0 2 4 5 5 7 8
Question 23 If you were to make a frequency distribution, what would
be the upper boundary of the first class?
a) 85
b) 95
c) 90
d) 100
e) None of the above
Question 24 If you were to make a frequency distribution, wha

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