Statistics Task

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 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 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 40. Xiaomi Redmi Note 3 Pro 41. Xiaomi Redmi Note 4X 42. Xiaomi Redmi Note 5A 43. Samsung Galaxy S8 Plus 44. Samsung Galaxy S8 45. Samsung Galaxy S7 46. Samsung Galaxy S7 edge 47. Samsung Galaxy C8 48. Samsung Galaxy C5 Pro 49. Samsung Galaxy C7 Pro 50. Samsung Galaxy C9 Pro 51. Samsung Galaxy C7 SM-C7000 52. Samsung Galaxy C5 53. Samsung Galaxy C7213 54. Samsung Galaxy Core Prime 55. Samsung Galaxy Core 2 56. Samsung Galaxy Core Plus G3500 57. Samsung Galaxy Core Advance 58. Samsung Galaxy J7 Core 59. Samsung Galaxy J7 Pro 60. Samsung Galaxy J5 Pro 61. Samsung Galaxy J7 Max 62. Samsung Galaxy Xcover 4 63. Samsung Galaxy A7 64. Samsung Galaxy A5 65. Samsung Galaxy A3 66. Samsung Galaxy A8 67. Samsung Galaxy J3

68. Samsung Galaxy Grand Prime Plus 69. Samsung Galaxy J7 Prime 70. Samsung Galaxy J5 Prime 71. Samsung Galaxy J2 72. Samsung Galaxy J1 Ace Neo 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 630 109. 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 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 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 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 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 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.

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

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 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

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.