BCO127 Applied Management Statistics Task brief
BCO127 Applied Management Statistics
Assignment: The assignment is worth 40% of your marks for this subject.
Deadline and submission: Your assignment must be submitted via Turnitin on Moodle before 23:59 on
Sunday 10th May 2020.
Word count: Your work is individual and should be uploaded in Moodle using Turnitin. Avoid any “copy-
paste” practice to prevent possible problems of plagiarism.
Title: Built on the acquired theoretical and practical knowledge of the second part of the semester you are
required to solve the following problems:
You must provide an explanation of your results in all your answers.
1) (15%) For Applied Management Statistics class you want to know how college students feel
about the transportation system in Barcelona.
a) What is the population in this study?
b) What type of sample would you use and why?
2) (25%) A manager of an e-commerce company would like to determine average delivery time of
the products. A sample of 25 customers is taken. "The average delivery time in the sample was
four days. Suppose the delivery times are normally distributed with a standard deviation of 1.2
days."
a) Provide a 95 % confidence interval for the mean delivery time.
b) The manager claims that the average delivery time of their products does not exceed 3 days.
Write the null and alternative hypothesis regarding to the claim of the manager.
c) Test the manager’s claim at 95 % confidence level.
d) Write the conclusion of your result
3) (15%) For an effective parental skill study, a researcher asked: How many hours do your kids
watch the television during a typical week in Barcelona? The mean of 100 Kids (ages 6-11)
spend about 28 hours a week in front of the TV. Suppose the study follows a normal distribution
with standard deviation 5.
a) Estimate the mean of all kids (ages 6-11) in Barcelona, using 99% confidence interval.
(show all the calculations)
b) Write the conclusion of your result
4) (25%) A regression analysis has been conducted between the annual income (in 1000 euros) and
the work experience (in years) of people with 0.05 significance level. The results are summarized
below.
a) Define the independent and dependent variables. What can you say about the correlation
between them.
BCO127 Applied Management Statistics Task brief
b) Interpret R Square.
c) Write the regression model and interpret the coefficients.
d) Estimate the average annual income of a person who has 15 years of work experience.
Summary
Table 1.
Regression Statistics
Multiple R 0,93
R Square 0,86
Adjusted R Square 0,82
Standard Error 2,11
Observations 6
Table 2.
df SS MS F Significance F
Regression 1 107,603 107,603 24,276 0,008
Residual 4 17,730 4,432
Total 5 125,333
Table 3.
Coefficients Sta ...
1. BCO127 Applied Management Statistics Task
brief
BCO127 Applied Management Statistics
Assignment: The assignment is worth 40% of your marks for
this subject.
Deadline and submission: Your assignment must be submitted
via Turnitin on Moodle before 23:59 on
Sunday 10th May 2020.
Word count: Your work is individual and should be uploaded in
Moodle using Turnitin. Avoid any “copy-
paste” practice to prevent possible problems of plagiarism.
Title: Built on the acquired theoretical and practical knowledge
of the second part of the semester you are
required to solve the following problems:
You must provide an explanation of your results in all your
answers.
1) (15%) For Applied Management Statistics class you want to
know how college students feel
about the transportation system in Barcelona.
a) What is the population in this study?
b) What type of sample would you use and why?
2. 2) (25%) A manager of an e-commerce company would like to
determine average delivery time of
the products. A sample of 25 customers is taken. "The average
delivery time in the sample was
four days. Suppose the delivery times are normally distributed
with a standard deviation of 1.2
days."
a) Provide a 95 % confidence interval for the mean delivery
time.
b) The manager claims that the average delivery time of their
products does not exceed 3 days.
Write the null and alternative hypothesis regarding to the claim
of the manager.
c) Test the manager’s claim at 95 % confidence level.
d) Write the conclusion of your result
3) (15%) For an effective parental skill study, a researcher
asked: How many hours do your kids
watch the television during a typical week in Barcelona? The
mean of 100 Kids (ages 6-11)
spend about 28 hours a week in front of the TV. Suppose the
study follows a normal distribution
with standard deviation 5.
a) Estimate the mean of all kids (ages 6-11) in Barcelona, using
99% confidence interval.
(show all the calculations)
b) Write the conclusion of your result
3. 4) (25%) A regression analysis has been conducted between the
annual income (in 1000 euros) and
the work experience (in years) of people with 0.05 significance
level. The results are summarized
below.
a) Define the independent and dependent variables. What can
you say about the correlation
between them.
BCO127 Applied Management Statistics Task
brief
b) Interpret R Square.
c) Write the regression model and interpret the coefficients.
d) Estimate the average annual income of a person who has 15
years of work experience.
Summary
Table 1.
Regression Statistics
Multiple R 0,93
R Square 0,86
Adjusted R Square 0,82
Standard Error 2,11
4. Observations 6
Table 2.
df SS MS F Significance F
Regression 1 107,603 107,603 24,276 0,008
Residual 4 17,730 4,432
Total 5 125,333
Table 3.
Coefficients Standard Error t stat p value Lower 95% Upper
95%
Intercept 17,351 3,160 5,491 0,005 8,577 26,124
Variable X 1 1,362 0,276 4,927 0,008 0,595 2,130
5) (20%) In order to analyze the performance of smart phones,
the characteristics of 293 smart
phone models have been recorded. Assume that for the initial
analysis we would like to work
with a sample of 10 observations. Choose a sample consisting
10 different smart phones by
simple random sampling considering the table of random
numbers given in the Appendix. You
can begin from any row or column. Write your explanations for
each step of choice and give a
list of the sampled smart phone models.
1. Apple iPhone 7
2. Apple iPhone 7 Plus
3. Apple iPhone 6 Plus
4. Apple iPhone 6S Plus
5. Apple iPhone 6
6. Apple iPhone 5
5. 7. Apple iPhone 5S
8. Apple iPhone 8
9. Apple iPhone 8 Plus
10. Xiaomi Hong Mi Red Rice
11. Xiaomi Mi 4
12. Xiaomi Mi 4c
13. Xiaomi Mi 4s
14. Xiaomi Mi 5
15. Xiaomi Mi 5s
16. Xiaomi Mi 5s Plus
17. Xiaomi Mi 5c
18. Xiaomi Mi 5 Pro
19. Xiaomi Mi 5X
20. Xiaomi Mi 6
21. Xiaomi Mi Max
22. Xiaomi Mi Max 2
23. Xiaomi Mi Mix
24. Xiaomi Mi Mix 2
25. Xiaomi Mi Note
26. Xiaomi Mi Note 2
27. Xiaomi Mi Note 3
28. Xiaomi Mi Note Pro
29. Xiaomi Mi3
30. Xiaomi Redmi2
31. Xiaomi Redmi3
32. Xiaomi Redmi 3S
33. Xiaomi Redmi4
34. Xiaomi Redmi4A
35. Xiaomi Redmi4X
36. Xiaomi Redmi Note
37. Xiaomi Redmi Note 2
38. Xiaomi Redmi Note 3
39. Xiaomi Redmi Note 4
7. 73. Samsung Galaxy J1 Ace
74. Samsung Galaxy J1
75. Samsung Galaxy J3 Pro
76. Samsung Galaxy J7
77. Samsung Galaxy J5
78. Samsung Galaxy Note 2
79. Samsung Galaxy Note 3
80. Samsung Galaxy Note 4
81. Samsung Galaxy Note 5
82. Samsung Galaxy V Plus
83. Samsung Galaxy Note Edge
84. Samsung Galaxy Note FE
85. Windows Phone Lumia 540
86. Windows Phone Lumia 535
87. Windows Phone Lumia 1320
88. Windows Phone Lumia 625
89. Windows Phone Lumia 1020
90. Windows Phone Lumia 925
91. Windows Phone Lumia 928
92. Windows Phone Lumia 720
93. Windows Phone Lumia 520
94. Windows Phone Lumia 950
95. Windows Phone Lumia 510
96. Windows Phone Lumia 505
97. Windows Phone Lumia 620
98. Windows Phone Lumia 822
99. Windows Phone Lumia 920
100. Windows Phone Lumia 820
101. Windows Phone Lumia 900
102. Windows Phone Lumia 650
103. Windows Phone Lumia 550
104. Windows Phone Lumia 950 XL
105. Windows Phone Lumia 640 XL
106. Windows Phone Lumia 640
107. Windows Phone Lumia 930
108. Windows Phone Lumia 630
8. 109. Windows Phone Lumia 1520
110. Windows Phone Lumia 505
111. Windows Phone 7 Pro
112. LG V30
113. LG V20
114. LG V10
115. LG G5
116. LG G4
117. LG G4 Beat
118. LG G4 Stylus
119. LG G4c
120. LG G3
121. LG Q6
122. LG G2
123. LG Nexus 5X
124. LG Nexus 4
125. LG Stylus 3
126. LG Optimus G Pro
127. LG X Power
128. LG K10
129. LG Q8
130. LG K8
131. LG K4
132. LG K3
133. LG G Vista 2
134. LG K7
135. LG X Cam
136. LG Leon
137. LG Spirit
138. LG Magna
139. LG Joy
140. LG Bello
141. LG Optimus F7
9. 142. LG G6
143. LG Q6 Plus
144. LG Q6 Alpha
145. LG X Style
146. LG K5
147. LG Stylus 2 Plus
148. LG Stylus 2
149. LG X Screen
150. LG L Bello 2
151. LG Class
152. LG G Flex 2
153. LG L60
154. LG G3 S
155. LG G3 Beat
156. LG L80
157. LG L65
158. LG L90
159. LG L70
160. LG F70
161. LG G Flex
162. LG G Pro 2
163. LG G Pro Lite
164. LG G2 Mini
165. LG Google Nexus 5
166. LG K5
167. LG L40
168. LG Optimus L7 2
169. LG Optimus L9 P760
170. LG E973 Optimus G
171. LG Optimus 4X HD
172. LG P700 Optimus L7
173. LG Optimus L5
174. LG Optimus L3
175. LG Optimus Net
176. LG P930 Nitro HD
177. LG Optimus EX SU880
10. 178. LG Optimus Note LU6500
179. LG Optimus TrueHD LTE P936
180. LG P990 Optimus 2X
181. LG Tegra 2
182. LG Optimus 3D
183. LG E720
184. LG A130
185. LG Optimus Z
186. LG Optimus Q
187. HTC U Ultra
188. HTC U11 Plus
189. HTC U11
190. HTC U Play
191. HTC Desire 650
192. HTC 10 evo
193. HTC Desire 10 Pro
194. HTC Desire 10 Lifestyle
195. HTC One A9s
196. HTC One S9
197. HTC Desire 830
198. HTC 10
199. HTC Desire 828
200. HTC One E9
201. HTC Desire 825
202. HTC Desire 630
203. HTC Desire 530
204. HTC Desire 728G
205. HTC One X9
206. HTC Desire 526G
207. HTC Desire 526
208. HTC One A9
209. HTC One M8s
210. HTC One E9 Plus
11. 211. HTC Desire 520
212. HTC One M9 Plus
213. HTC One M9
214. HTC Desire 626
215. HTC Desire 826
216. HTC Desire 320
217. HTC Desire 620
218. HTC Desire 620G
219. HTC Desire Eye
220. HTC Desire 616
221. HTC Desire 516
222. HTC Desire 820
223. HTC Desire 510
224. HTC One E8
225. HTC One mini 2
226. HTC Desire 310
227. HTC Desire 816
228. HTC Desire 610
229. HTC Desire 400
230. HTC Desire 700
231. HTC Desire 501
232. HTC One Max
233. HTC Desire 100
234. HTC Desire 300
235. HTC Desire 500
236. HTC One Mini
237. HTC Butterfly S
238. HTC Desire 600
239. HTC First
240. HTC One
241. HTC Desire U
242. HTC Butterfly
243. HTC Droid DNA
12. 244. HTC Desire SV
245. HTC One SV
246. HTC One X Plus
247. HTC J
248. HTC Desire VC
249. HTC Desire V
250. HTC Desire C
251. HTC One V
252. HTC One XL
253. HTC One S
254. HTC One X
255. HTC Primo
256. HTC Velocity 4G
257. HTC Titan 2
258. HTC Hero S
259. HTC Edge
260. HTC Rezound
261. HTC Vivid
262. HTC Evo Design 4G
263. HTC Sensation XL
264. HTC Explorer
265. HTC 8XT
266. HTC Accord
267. HTC 8S
268. HTC 8X
269. Sony Xperia L1
270. Sony Xperia XA1 Plus
271. Sony Xperia XZ1
272. Sony Xperia XZ1 Compact
273. Sony Xperia XZ Premium
274. Sony Xperia XZs
275. Sony Xperia XA1 Ultra
276. Sony Xperia XA1
277. Sony Xperia X Compact
278. Sony Xperia XZ
279. Sony Xperia E5
13. 280. Sony Xperia XA
281. Sony Xperia X Performance
282. Sony Xperia X
283. Sony Xperia Z5 Compact
284. Sony Xperia Z5
285. Sony Xperia Z5 Premium
286. Sony Xperia M5
287. Sony Xperia C5 Ultra
288. Sony Xperia Z3 Plus
289. Sony Xperia C4 Dual
290. Sony Xperia Z4
291. Sony Xperia X4g
292. Sony Xperia M4 Aqua
293. Sony Xperia
APPENDIX: Table of Random Numbers
Source: Berenson, M.L., Levine, D.M. and Krehbiel, T.C.
(2012). Basic Business Statistics:
Concepts and Applications, 12th Edition, Pearson.
14. Rubrics
Questions worth 25 points
Descriptor
22.5 -
25
The student uses the proper formulas, completes the
calculations correctly, arrives to
the right result, draws the graph correctly when required
20 -
22.3
The student uses the right formula, but applies it wrongly
(minor errors, figures in the
wrong place…) and then, of course, the result is wrong
17.5 -
19.8
15. The student demonstrates a fair understanding of the meaning of
the data given and of
the question asked, but he/she is not able to identify the formula
to be used, does
larger errors and/or the calculations are wrong.
10 -
17.3
The student demonstrates some understanding of the concepts
but he/she is not able
to relate the data given in any way
2.5 -
9.75
The student demonstrates insufficient understanding of the
concepts and does not
mention any relevant ideas or concepts, but he/she done not
leave it blank
0 The student leaves the question blank or cheats.
Questions worth 20 points
Descriptor
18-20 The student uses the proper formulas, completes the
calculations
correctly, arrives to the right result, draws the graph correctly
16. when
required
16-17.9 The student uses the right formula, but applies it
wrongly (minor errors,
figures in the wrong place…) and then, of course, the result is
wrong
14-15.9 The student demonstrates a fair understanding of the
meaning of the data
given and of the question asked, but he/she is not able to
identify the
formula to be used, does larger errors and/or the calculations
are wrong.
8-13.9 The student demonstrates some understanding of the
concepts but
he/she is not able to relate the data given in any way
1-7.9 The student demonstrates insufficient understanding of
the concepts and
does not mention any relevant ideas or concepts, but he/she
done not
leave it blank
0 The student leaves the question blank or cheats.
Questions worth 15 points
Descriptor
17. 13.5 - 15 The student demonstrates an excellent understanding
of the concepts.
12 - 13.4 The student demonstrates a good understanding of the
concepts.
10.5 - 11.9 The student demonstrates a fair understanding of the
concepts.
9 - 10.4 The student demonstrates some, but insufficient
understanding of the concepts.
4.5 - 8.85
The student demonstrates insufficient understanding of the
concepts. They may
mention some relevant ideas or concepts, although it is clear
that the relationship
between them is not understood by the student.
1.5 - 4.35
The student demonstrates insufficient understanding of the
concepts and does not
mention any relevant ideas or concepts.
0 The student leaves the question blank or cheats.
18. Test Results Project
Dr LaMar D. Brown PhD, MBA
Ph.D. in Information Technology
University of the Cumberland’s
Analysing and Visualizing Data
This is an example of a presentation.
DO NOT COPY THIS CONTENT. YOU HAVE TO CREATE
YOUR OWN PRESENTATION. USING YOUR OWN
THOUGHTS AND IDEAS BASED ON YOUR EVALUATION
OF THE RAW DATA.
Project Statement:
Input parameters:
Assessment scores of students in final exam
8 Attributes:
Index (Student#) – Integer
Ethnicity – [A,B,H,N,O,W]- Categorical
Absences – Integer
19. English Scores(%)- Integer
Math Scores(%) – Integer
Assessment Percent – Float
Assessment Result [Yes/No] – Categorical
English Second Language [Yes/No] - Categorical
60 rows of data
Output :
1. To analyze and summarize the data visually.
2. To make recommendations to improve the quality of
instruction.
Student population distribution vs Ethnicity :
Around 84% of the students are from Hispanic, White and Black
ethnic backgrounds.
And we can’t make strong conclusions for the other categories,
because of statistically insignificant amount of data.
Assessment Score(<65%),English vs Ethnicity
Most of the Students who failed in Assessment, scored under
65% in English.
80% of Black ethnic students who scored under 65% in English,
failed in Assessment
It is evident that students over 65% in English outperformed in
Total Assessment.
20. In general, we can make a conclusion that if a student failed in
the assessment they have scored less than 65% in English.
Assessment Score(<65%),Math vs Ethnicity
Most of that Black and Native Americans who failed in total
assessment, scored under 65% in math.
Around 60% of Whites who failed in assessment, scored under
65% in math.
With skewed data, 100% of students with ethnicity other scored
more than 65% in math.
Assessment Score(>=65%),English vs Ethnicity
25% of Black and 10% of White ethnic students scored under
65% in English when they passed in assessment.
Except white and black ethnic students, the remaining passed in
assessment with more than 65% in English.
21. Assessment Score(>=65%), Math vs Ethnicity
Student who passed the assessment, performed well in Math.
Assessment result – “Pass”, has a strong correlation with Math
score.
With English as second language, Assessment Scores
Most of the students who failed in assessment and having
English as their second language are from Hispanic ethnicity.
60% of Hispanics and 40% of A ethnic students passed in
assessment with English as second language.
Number of Hispanics who failed the assessment have strong
correlation between English score and English as second
language.
Without English as second language, Assessment Scores
There’s no correlation in passing the assessment and having
22. English as second language for both Black and White ethnic
students.
Recommendations:
Here you need to create all least 5 recommendations that you
would make to the VP based on the students scores and
outcomes.
Make sure your recommendations are related to the data and
presentation.
Sheet1StudentEthnicityNumber of Absences in 60 day
ProgramEnglish Score in PrecentMath Score in
PercentAssessment Score in PercentAssessment ResultsEnglish
Second LanguageAssessment
Key1H3347856FAILYES2H5285742.5FAILYESEthinicity3H23
78259.5FAILYESH=Hispanic4H0587164.5FAILYESB=Black5
W2587667PASSNOW=White6B0908587.5PASSNON=Native
Amer.7W17351726FAILNOO=Other8W3687772.5PASSNO9B0
598371PASSNO10B10242022FAILNOPassing
Score11W01009597.5PASSNO65%12A1100100100PASSYES13
B3697572PASSNO14H1239257.5FAILYESGED
Program15O5376551FAILNO60
Days16B1897079.5PASSNO17B0787275PASSNO18W1679078.
5PASSNO19N0565153.5FAILNO20B22231720FAILNO21B189
10094.5PASSNO22O3679581PASSNO23W0788682PASSNO24
H6343735.5FAILYES25O2527362.5FAILNO26B3544750.5FAI
23. LNO27B5785868PASSNO28N2678777PASSNO28N1978792PA
SSNO30W0434242.5FAILNOStudentEthnicityNumber of
Absences in 60 day ProgramEnglish Score in PrecentMath Score
in PercentAssessment Score in PercentAssessment
ResultsEnglish Second LanguageAssessment
Key31W0768480PASSNO32W0959494.5PASSNOEthinicity33A
11008592.5PASSYESH=Hispanic34H078043.5FAILYESB=Blac
k35H3118246.5FAILYESW=White36W4789084PASSNON=Nat
ive
Amer.37W9456555FAILNOO=Other38H2367053FAIL39B1971
0098.5PASS40O29110095.5PASSNOPassing
Score41H5807577.5PASSNO65%42A0809286PASSNO43B1354
4348.5FAILNO44H0808080PASSNOGED
Program45W12322126.5FAILNO60
Days46B0567666PASSNO47B1737674.5PASSNO48B3842152.5
FAILNO49H3897582PASSYES50H11262224FAILYES51W247
6556FAILNO52B1578269.5PASSNO53W0899391PASSNO54H
0937584PASSYES55W1847378.5PASSNO56H2848082PASSNO
57B6978490.5PASSNO58H4909090PASSYES59H1177043.5FA
ILNO60H3216543FAILYES