MSTL-001 Assignment Solution 2021

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Question-1

Page 1-31

Question-2

Page 32-39

Question-3

Page 40-47

Question-4

Page 48-53

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MSTL-001 Assignment Sample Solution

 

MSTL-001 Assignment Question Paper 

MSTL-001: Basic Statistics Lab                          Download Question Paper 

 

MSTL-001: Basic Statistics Lab

Note: 

  1. All questions are compulsory.
  2. Solve the following questions in MS Excel 2007.
  3. Take the screenshots of the final output/spreadsheet.
  4. Paste all screenshots in the assignment booklet with all necessary hypotheses, interpretation, etc.

Q 1)  A mobile manufacturing company distributed a newly launched mobile to 100 retail stores. These stores also sell another famous brand of mobile having same features. The manager of the company wants to compare the popularity of the newly launched mobile (say, Brand A) with the other popular mobile (say, Brand B). For this purpose, she selects a sample of 100 stores and noted the total number of sold mobiles of each brand. The data are recorded in the following table: 

Store No.

Brand A

Brand B

Store No.

Brand A

Brand B

1

204

462

51

521

239

2

328

454

52

327

284

3

262

211

53

531

225

4

364

284

54

490

175

5

478

168

55

427

365

6

368

304

56

310

384

7

506

162

57

433

182

8

362

328

58

313

505

9

151

484

59

424

270

10

371

256

60

295

183

11

522

159

61

288

463

12

328

362

62

239

517

13

532

178

63

244

435

14

491

230

64

270

495

15

428

392

65

224

449

16

311

322

66

484

440

17

434

349

67

173

418

18

314

339

68

256

498

19

425

312

69

416

410

20

296

446

70

233

546

21

289

352

71

323

409

22

240

467

72

279

529

23

245

392

73

340

214

24

271

293

74

464

262

25

225

500

75

383

216

26

485

239

76

423

461

27

174

283

77

351

497

28

257

380

78

404

271

29

417

295

79

226

475

30

234

466

80

164

511

31

324

365

81

205

274

32

280

449

82

329

295

33

341

189

83

263

326

34

465

218

84

365

157

35

384

530

85

479

368

36

424

321

86

369

256

37

352

485

87

507

272

38

405

369

88

363

226

39

227

457

89

163

334

40

165

420

90

372

218

41

203

293

91

523

184

42

327

315

92

329

437

43

261

399

93

533

206

44

363

409

94

492

177

45

477

213

95

429

173

46

367

256

96

177

502

47

505

190

97

435

406

48

361

238

98

315

358

49

161

495

99

426

381

50

370

428

100

297

408

Answer the following:

  1. Which mobile brand has more average sales?
  2. Which mobile brand shows greater variability in the sales?
  • Compute the skewness and kurtosis for the given data and interpret the results.
  1. Determine the correlation between both mobiles.
  2. v) Compute suitable width of the class intervals for both brands,
  3. vi) Construct the continuous frequency distribution for both brands.

vii) Represent the raw data as well as grouped data using suitable diagram/graph. 

Q 2 (i) Twenty operators are working in a particular department of a call centre. The longserving operators feel that they should have a promotion based on length of service built into their job structure. For assessment of their efficiency, the personnel department produces a score of efficiency based on various parameters. The efficiency scores along with their length of service are given below:

S. No.

Length of Service

Efficiency Scores

1

2

72

2

9

90

3

5

74

4

9

88

5

4

70

6

5

77

7

6

77

8

5

78

9

7

87

10

6

80

11

4

72

12

8

83

13

8

84

14

7

84

15

8

85

16

7

90

17

3

69

18

5

89

19

7

90

20

5

79

Compute the Spearman’s rank correlation coefficient between the length of service and efficiency scores? Also compare this coefficient with Pearson’s correlation coefficient.

(ii)       A scientist wants to check the yield of wheat from different varieties of wheat. In this regards, the yields of wheat from 16 plots, all of approximately equal fertility, when 4 varieties of wheat (Say, A, B, C and D) were cultivated are recorded in the following table: 

Plot No.

1

2

3

4

5

6

7

8

Variety:

A

B

D

C

B

C

A

D

Yield:

42

44

39

41

43

44

44

36

Plot No.:

9

10

11

12

13

14

15

16

Variety:

B

D

A

C

B

A

B

C

Yield:

46

40

43

45

47

45

45

42

Assuming that the yields of wheat are normally distributed in each variety with approximately equal variances, test the hypothesis that the average yields of wheat in all four varieties of wheat are the same at 1% level of significance. 

Q 3      For the data given in Question 1, the manager also wishes to compare both brands to get the answers of the following questions:  

  1. Is there enough evidence that the average sales of mobile of Brand A is more than the average sales of the Brand B at 5 % level of significance?
  2. Are the variances of the distributions of mobiles of Brand A and Brand B equal at 5 % level of significance?

Q 4      Suppose that a customer service manager of a mall wants to evaluate the service of the eight food counters in the mall. She/he hires seven evaluators with varied experience in food-service evaluation to act as raters. To reduce the effect of the variability from rater to rater, a randomised block design is applied considering raters serving as the blocks. The seven raters evaluate the service of each of the eight food counters in a random

order. A rating scale from 0 (low) to 100 (high) is used. The following table summarises the results: 

 

 

 

 

Food Counters

 

 

 

Raters

A

B

C

D

E

F

G

H

1

70

61

82

74

68

59

80

81

2

77

75

88

76

75

73

86

87

3

76

67

90

80

74

65

82

88

4

80

63

87

76

78

61

85

86

5

84

66

92

84

82

64

90

91

6

78

68

94

86

76

66

80

92

7

77

75

88

76

75

73

86

84

The effect of evaluation of each rater on the service of food counters is normally distributed with approximately equal variances. 

 

  1. Analyse the design at 2% level of significance.
  2. Is the average service of the eight food counters significantly different? If the difference between the averages services of the eight restaurants is significant, do the pair-wise comparison between them.

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