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UNIGLOBE COLLEGE

Level: Masters Year : 2012

Programme: MBA Full Marks: 100

Course: Business Statistics Time : 4hrs.

Candidates are required to give their answers in their own words as far

as practicable.

The figures in the margin indicate full marks.

Attempt all the questions.

Q1.(a)Packet expenses of random sample of recent graduating accounting majors were obtain.

212 222 229 271 290 251 261 271 372 360

321 240 252 261 275 282 244 282 291 292

310 321 345 380 290 280 245 295 294 324301 306 307 294 341 311 297 294 324 326

295 294 351 352 295 297 307 308 295 294

232 244 256 245 247 231 221 243 245 244

Construct Leaf-Stem exploratory graph and calculate median value. [5]

(b)Mr. Jeeban Bist , marketing director for a leading mobile phone, obtained records of minutes

used by a random sample of 60 subscribers to the companys low end users plan (250 peakminutes per month ). Data is the list of minutes used by subscribers in the sample during a

particular month.

271 236 252 254 263 266 222 262 278 288

262 237 247 283 244 263 267 254 271 278

263 262 288 252 264 263 247 225 181 279

237 252 242 248 263 255 294 288 255 272

271 291 263 243 288 252 226 263 269 277

273 298 248 294 288 245 251 226 265 275

263 299 281 279 247 264 255 284 285 298

264 235 232 249 251 245 256 244 251 245

234 235 247 246 289 234 247 222 243 234

Construct frequency distribution using class with 10

Draw histogramMode value

Construct relative frequency distributionDraw less than Ogive curve

Estimate expected frequency within 34 to 47

What do the data indicates? [20]

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Q2.(a). Wes and Jennie Moore, owners of Moores Foto Shop in Western Pennsylvania, are

considering two investment alternatives asset A and asset B. They are not sure which of these two

single assets is better, and ask Sheila Newton, a financial planner, for some assistance. Whatsuggestion should be given to owners of Moores Foto Shop Sheila Newton as financial advisor?

Year Rate of Return

Asset A Asset B5 years ago 11.3% 9.4%

4 year ago 12.5 17.53 year ago 13.0 13.32 year ago 12.0 10.0

1 year ago 12.2 11.0 [10]

(b) A group of 13 students is studying in Pokhara University for five weeks. As part of their study

of local economy, they each purchased an Oriental rug and arrange for shipment back to United

States. The shipping time, in days, for each rug was

31 31 42 39 42 43 34 30 28 36

37 35 40

Estimate the percentage of days that are within two standard deviation of the mean. Is it likely totake two months for delivery? [10]

Q3. Students in a large accounting class were asked to rate the course by assigning a score of 1, 2,

3, 4, and 5 to the course. A high score indicates that the students received greater value from thecourse. The accompanying table shows proportions of students rating the course in each category.

Rating SectionA(Probability)

SectionB(Probability)

SectionC(Probability)

1 0.07 0.09 0.15

2 0.19 0.16 0.26

3 0.28 0.29 0.18

4 0.30 0.26 0.305 0.16 0.20 0.11

Find the mean and standard deviation of the rating. Compare the rating of the three sections basedon the risks. [20]

Q4. These are the total fares (in dollars) collected Tuesday by the 20 taxi belonging to City Transit,Ltd.

147 95 93 127 143 101 123 83 135 129

185 92 115 126 157 93 133 125 132 51

Compute the five summary numbers of these data and comment on shape of the distribution. [10]

Q5.(a) The HAL Corporation wishes to improve the resistance of its personal computer to disk-drive and key board failures. At present, the design of the computer is such that disk-drive failuresoccur only one-third as often as key board failures. The probability of simultaneous disk-drive and

key board failures is 0.05

(i) If the computer is 80 per cent resistant to disk-drive and /or keyboard failure, how low

must the disk-drive failure probability be?

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(ii) If the key board is improved so that it fails only twice as often as the disk-drive (and the

simultaneous failure probability is still 0.05) , will the disk-drive failure probability from

part (a) yield a resistance to disk-drive and / or keyboard failure higher or lower than 90 per

cent? [5]

(b) The health department routinely conducts two independent inspections f each restaurant with

the restaurant passing only if both inspectors pass it. Inspector A is very experienced, and, hence,

passes only 2 per cent of restaurants that actually do have health code violations. Inspector B isless experienced and passes 7 per cent of restaurants with violations. What is the probability that

(i) Inspector A passes a restaurant, given that inspector B has found a violation?

(ii) Inspector B passes a restaurant, with a violation, given that inspector a passes it?

(iii)A restaurant with a violation is passed by the health department? [5]

Q6.(a) A company is considering upgrading its computer system, and a major portion of the

upgrade is a new operating system. The company has asked an engineer for an evaluation of theoperating system. Suppose the probability of a favourable evaluation is 0.65. If the probability the

company will upgrade its system given a favourable evaluation is 0.85, what is the probability that

the company will upgrade and receive a favourable evaluation?

Factory produces electric bulbs by three machines. First, second and third machine produces 3000,2500 and 4500 bulbs respectively. According to past experience, it is known that the defective

bulbs produced by the three machines are 30, 45, and 50 respectively. One bulb is drawn at randomfrom a days total production and found to be defective. Find the Probability that the defective bulb

is from machine (i) first (ii) second and (iii) third. [10]

(b) An accountant is to audit 24 accounts of a firm. Sixteen of these are of highly valuedcustomers. If the accountant selects four of the accounts at random, what is the probability that he

chooses at least one highly valued account?

Assuming that the sexes are equally likely, what is the probability that a family of six children willhave (i) all boys (ii) on boys (iii) at least four boys and (iv) at the most two boys [5]