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Final

Final Exam Review Questions

22 Pages
376 Views

Department
Quantitative Methods
Course Code
QMS 202
Professor
Jason Chin- Tiong Chan

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1
Question#1
The following tables show the five different samples of wireless Internet users
from the province of Ontario, and they are classified according to their income
and cities of residence.
Brampton
Income
Under $20,000
$20,000 and
under $40,000
$40,000 and
under $60,000
$60,000 and
under $80,000
$80,000 and
above
Number of
users
15
135
213
78
31
Markham
Income
Under $20,000
$20,000 and
under $40,000
$40,000 and
under $60,000
$60,000 and
under $80,000
$80,000 and
above
Number of
users
14
53
185
118
56
Mississauga
Income
Under $20,000
$20,000 and
under $40,000
$40,000 and
under $60,000
$60,000 and
under $80,000
$80,000 and
above
Number of
users
16
52
125
188
19
Oshawa
Income
Under $20,000
$20,000 and
under $40,000
$40,000 and
under $60,000
$60,000 and
under $80,000
$80,000 and
above
Number of
users
35
155
183
98
29
Toronto
Income
Under $20,000
$20,000 and
under $40,000
$40,000 and
under $60,000
$60,000 and
under $80,000
$80,000 and
above
Number of
users
4
135
215
387
259
At the 5% level of significance should one conclude that the percent of all
wireless Internet users with income of at least $60,000 in the city of Toronto is
less than the percent of all wireless Internet users with income of at least
$60,000 in the city of Brampton?
a. What type of parameter(s) is being tested here? (Circle one)
P
P
Ö
V
V
Ö
s
s
Ö
p
p
Ö
t
z
F
2
F
b. Define the parameters associated with the test {include the appropriate
symbol(s)}
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2
c. State the hypothesis using statistical symbols.
Null Hypothesis: _____________________________
Alternative Hypothesis: _____________________________
d. What is the value of the test statistic? _________________
e. What is the critical value(s) for this test? ________________
f. What is the p-value for this test? ________________
g. What is the statistical decision and why?
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A
H
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A
H
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H
WFHMHUWRQR'Ã
0
H
because the p-value is
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than
2/
D
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!
than
2/
D
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to
2/
D
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than
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!
than
D
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to
D
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than
D
2
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!
than
D
2
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z
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D
2
h. Construct a graph of the most appropriate distribution clearly showing the
critical value(s), test statistic value, and the rejection region
i. In non-technical terms what is your conclusion for this test?
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3
Question#2
Ryerson Accounting Firm is interested in providing opportunity for its auditors to
gain more expertise in statistical sampling methods. They wish to compare
traditional classroom instruction with online self-paced tutorials. Auditors were
assigned at a random to one type of instruction, and the auditors were then given
an exam. The following table shows how the two groups performed.
Classroom
86
84
85
88
87
86
84
83
82
86
Online
95
76
58
65
86
84
63
97
83
71
Assume that both populations are normally distributed.
The SPSS outputs are based on Paired Samples Test, Independent Samples
Test and One Sample Test. Select the correct SPSS output to answer PART A
and PART B
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Description
Question#1 The following tables show the five different samples of wireless Internet users from the province of Ontario, and they are classified according to their income and cities of residence. Brampton Income Under $20,000 $20,000 and $40,000 and $60,000 and $80,000 and under $40,000 under $60,000 under $80,000 above Number of 15 135 213 78 31 users Markham Income Under $20,000 $20,000 and $40,000 and $60,000 and $80,000 and under $40,000 under $60,000 under $80,000 above Number of 14 53 185 118 56 users Mississauga Income Under $20,000 $20,000 and $40,000 and $60,000 and $80,000 and under $40,000 under $60,000 under $80,000 above Number of 16 52 125 188 19 users Oshawa Income Under $20,000 $20,000 and $40,000 and $60,000 and $80,000 and under $40,000 under $60,000 under $80,000 above Number of 35 155 183 98 29 users Toronto Income Under $20,000 $20,000 and $40,000 and $60,000 and $80,000 and under $40,000 under $60,000 under $80,000 above Number of 4 135 215 387 259 users At the 5% level of significance should one conclude that the percent of all wireless Internet users with income of at least $60,000 in the city of Toronto is less than the percent of all wireless Internet users with income of at least $60,000 in the city of Brampton? a. What type of parameter(s) is being tested here? (Circle one) 2 2 x 8 8 s s 5 5 p p t z F . 2 b. Define the parameters associated with the test {include the appropriate symbol(s)} 1 www.notesolution.comc. State the hypothesis using statistical symbols. Null Hypothesis: _____________________________ Alternative Hypothesis: _____________________________ d. What is the value of the test statist_________________ e. What is the critical value(s) for this t________________ f. What is the p-value for this tes________________ g. What is the statistical decision and why? 9.0M0#H 9.0M079434H 9.0M0#H 9.0M079434H A A 0 0 because the p-value is than, 2 than , 2 z to , 2 than , than , to , than than z 2, 2, z to 2, h. Construct a graph of the most appropriate distribution clearly showing the critical value(s), test statistic value, and the rejection region i. In non-technical terms what is your conclusion for this test? 2 www.notesolution.com
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