Trang chủ / Thống Kê

Thống kê ứng dụng trong kinh tế và kinh doanh - Trường ĐH Văn Lang - 17


BẢNG B2 BẢNG TÍCH PHÂN LAPLACE x Trog bảng cho giá trị   x    0 1  t 2 1

BẢNG B2 - BẢNG TÍCH PHÂN LAPLACE

x

Trog bảng cho giá trị x

0

1 t2

2

e 2 dt

.

Chẳng hạn 1,960, 475


z

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.0

0.0000

0.0040

0.0080

0.0120

0.0160

0.0199

0.0239

0.0279

0.0319

0.0359

0.1

0.0398

0.0438

0.0478

0.0517

0.0557

0.0596

0.0636

0.0675

0.0714

0.0753

0.2

0.0793

0.0832

0.0871

0.0910

0.0948

0.0987

0.1026

0.1064

0.1103

0.1141

0.3

0.1179

0.1217

0.1255

0.1293

0.1331

0.1368

0.1406

0.1443

0.1480

0.1517

0.4

0.1554

0.1591

0.1628

0.1664

0.1700

0.1736

0.1772

0.1808

0.1844

0.1879

0.5

0.1915

0.1950

0.1985

0.2019

0.2054

0.2088

0.2123

0.2157

0.2190

0.2224

0.6

0.2257

0.2291

0.2324

0.2357

0.2389

0.2422

0.2454

0.2486

0.2517

0.2549

0.7

0.2580

0.2611

0.2642

0.2673

0.2704

0.2734

0.2764

0.2794

0.2823

0.2852

0.8

0.2881

0.2910

0.2939

0.2967

0.2995

0.3023

0.3051

0.3078

0.3106

0.3133

0.9

0.3159

0.3186

0.3212

0.3238

0.3264

0.3289

0.3315

0.3340

0.3365

0.3389

1.0

0.3413

0.3438

0.3461

0.3485

0.3508

0.3531

0.3554

0.3577

0.3599

0.3621

1.1

0.3643

0.3665

0.3686

0.3708

0.3729

0.3749

0.3770

0.3790

0.3810

0.3830

1.2

0.3849

0.3869

0.3888

0.3907

0.3925

0.3944

0.3962

0.3980

0.3997

0.4015

1.3

0.4032

0.4049

0.4066

0.4082

0.4099

0.4115

0.4131

0.4147

0.4162

0.4177

1.4

0.4192

0.4207

0.4222

0.4236

0.4251

0.4265

0.4279

0.4292

0.4306

0.4319

1.5

0.4332

0.4345

0.4357

0.4370

0.4382

0.4394

0.4406

0.4418

0.4429

0.4441

1.6

0.4452

0.4463

0.4474

0.4484

0.4495

0.4505

0.4515

0.4525

0.4535

0.4545

1.7

0.4554

0.4564

0.4573

0.4582

0.4591

0.4599

0.4608

0.4616

0.4625

0.4633

1.8

0.4641

0.4649

0.4656

0.4664

0.4671

0.4678

0.4686

0.4693

0.4699

0.4706

1.9

0.4713

0.4719

0.4726

0.4732

0.4738

0.4744

0.4750

0.4756

0.4761

0.4767

2.0

0.4772

0.4778

0.4783

0.4788

0.4793

0.4798

0.4803

0.4808

0.4812

0.4817

2.1

0.4821

0.4826

0.4830

0.4834

0.4838

0.4842

0.4846

0.4850

0.4854

0.4857

2.2

0.4861

0.4864

0.4868

0.4871

0.4875

0.4878

0.4881

0.4884

0.4887

0.4890

2.3

0.4893

0.4896

0.4898

0.4901

0.4904

0.4906

0.4909

0.4911

0.4913

0.4916

2.4

0.4918

0.4920

0.4922

0.4925

0.4927

0.4929

0.4931

0.4932

0.4934

0.4936

2.5

0.4938

0.4940

0.4941

0.4943

0.4945

0.4946

0.4948

0.4949

0.4951

0.4952

2.6

0.4953

0.4955

0.4956

0.4957

0.4959

0.4960

0.4961

0.4962

0.4963

0.4964

2.7

0.4965

0.4966

0.4967

0.4968

0.4969

0.4970

0.4971

0.4972

0.4973

0.4974

2.8

0.4974

0.4975

0.4976

0.4977

0.4977

0.4978

0.4979

0.4979

0.4980

0.4981

2.9

0.4981

0.4982

0.4982

0.4983

0.4984

0.4984

0.4985

0.4985

0.4986

0.4986

3.0

0.4987

0.4987

0.4987

0.4988

0.4988

0.4989

0.4989

0.4989

0.4990

0.4990

3.1

0.4990

0.4991

0.4991

0.4991

0.4992

0.4992

0.4992

0.4992

0.4993

0.4993

3.2

0.4993

0.4993

0.4994

0.4994

0.4994

0.4994

0.4994

0.4995

0.4995

0.4995

3.3

0.4995

0.4995

0.4995

0.4996

0.4996

0.4996

0.4996

0.4996

0.4996

0.4997

3.4

0.4997

0.4997

0.4997

0.4997

0.4997

0.4997

0.4997

0.4997

0.4997

0.4998

3.5

0.4998

0.4998

0.4998

0.4998

0.4998

0.4998

0.4998

0.4998

0.4998

0.4998

3.6

0.4998

0.4998

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

3.7

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

3.8

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

0.4999

3.9

0.5000

0.5000

0.5000

0.5000

0.5000

0.5000

0.5000

0.5000

0.5000

0.5000

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BẢNG B3 – BẢNG PHÂN PHỐI STUDENT


Trong bảng cho giá trị t k

sao cho PT t k với k là bậc tự do

Chẳng hạn P T 2,22810.025 ;

được suy ra từ in đậm trong bảng tra.


r 0 005 0 01 0 015 0 02 0 025 0 03 0 035 0 05 0 1 1 63 6567 31 8205 21 2049 15 8945 12 7062 10 5789 2

r

0.005

0.01

0.015

0.02

0.025

0.03

0.035

0.05

0.1

1

63.6567

31.8205

21.2049

15.8945

12.7062

10.5789

9.0579

6.3138

3.0777

2

3

9.9248

5.8409

6.9646

4.5407

5.6428

3.896

4.8487

3.4819

4.3027

3.1824

3.8964

2.9505

3.5782

2.7626

2.92

2.3534

1.8856

1.6377

4

4.6041

3.7469

3.2976

2.9985

2.7764

2.6008

2.4559

2.1318

1.5332

5

4.0321

3.3649

3.0029

2.7565

2.5706

2.4216

2.2974

2.015

1.4759

6

3.7074

3.1427

2.8289

2.6122

2.4469

2.3133

2.2011

1.9432

1.4398

7

3.4995

2.998

2.7146

2.5168

2.3646

2.2409

2.1365

1.8946

1.4149

8

3.3554

2.8965

2.6338

2.449

2.306

2.1892

2.0902

1.8595

1.3968

9

3.2498

2.8214

2.5738

2.3984

2.2622

2.1504

2.0554

1.8331

1.383

10

3.1693

2.7638

2.5275

2.3593

2.2281

2.1202

2.0283

1.8125

1.3722

11

3.1058

2.7181

2.4907

2.3281

2.201

2.0961

2.0067

1.7959

1.3634

12

3.0545

2.681

2.4607

2.3027

2.1788

2.0764

1.9889

1.7823

1.3562

13

3.0123

2.6503

2.4358

2.2816

2.1604

2.06

1.9742

1.7709

1.3502

14

2.9768

2.6245

2.4149

2.2638

2.1448

2.0462

1.9617

1.7613

1.345

15

2.9467

2.6025

2.397

2.2485

2.1314

2.0343

1.9509

1.7531

1.3406

16

2.9208

2.5835

2.3815

2.2354

2.1199

2.024

1.9417

1.7459

1.3368

17

2.8982

2.5669

2.3681

2.2238

2.1098

2.015

1.9335

1.7396

1.3334

18

2.8784

2.5524

2.3562

2.2137

2.1009

2.0071

1.9264

1.7341

1.3304

19

2.8609

2.5395

2.3456

2.2047

2.093

2

1.92

1.7291

1.3277

20

2.8453

2.528

2.3362

2.1967

2.086

1.9937

1.9143

1.7247

1.3253

21

2.8314

2.5176

2.3278

2.1894

2.0796

1.988

1.9092

1.7207

1.3232

22

2.8188

2.5083

2.3202

2.1829

2.0739

1.9829

1.9045

1.7171

1.3212

23

2.8073

2.4999

2.3132

2.177

2.0687

1.9782

1.9003

1.7139

1.3195

24

2.7969

2.4922

2.3069

2.1715

2.0639

1.974

1.8965

1.7109

1.3178

25

2.7874

2.4851

2.3011

2.1666

2.0595

1.9701

1.8929

1.7081

1.3163

26

2.7787

2.4786

2.2958

2.162

2.0555

1.9665

1.8897

1.7056

1.315

27

2.7707

2.4727

2.2909

2.1578

2.0518

1.9632

1.8867

1.7033

1.3137

28

2.7633

2.4671

2.2864

2.1539

2.0484

1.9601

1.8839

1.7011

1.3125

29

2.7564

2.462

2.2822

2.1503

2.0452

1.9573

1.8813

1.6991

1.3114

30

2.75

2.4573

2.2783

2.147

2.0423

1.9546

1.8789

1.6973

1.3104

40

2.7045

2.4233

2.2503

2.1229

2.0211

1.9357

1.8617

1.6839

1.3031

60

2.6603

2.3901

2.2229

2.0994

2.0003

1.917

1.8448

1.6706

1.2958

120

2.6174

2.3578

2.1962

2.0763

1.9799

1.8987

1.8282

1.6577

1.2886


BẢNG B3 – BẢNG PHÂN PHỐI CHI BÌNH PHƯƠNG

Trong bảng cho giá trị t k

sao cho P 2;k với k là bậc tự do

Chẳng hạn P T 2,22810.025 ;

được suy ra từ in đậm trong bảng tra.


r

0.005

0.995

0.01

0.99

0.015

0.985

0.02

0.98

0.025

1

7.8794

0

6.6349

0.0002

5.9165

0.0004

5.4119

0.0006

5.0239

2

10.5966

0.01

9.2103

0.0201

8.3994

0.0302

7.824

0.0404

7.3778

3

12.8382

0.0717

11.3449

0.1148

10.465

0.1516

9.8374

0.1848

9.3484

4

14.8603

0.207

13.2767

0.2971

12.3391

0.3682

11.6678

0.4294

11.1433

5

16.7496

0.4117

15.0863

0.5543

14.0978

0.6618

13.3882

0.7519

12.8325

6

18.5476

0.6757

16.8119

0.8721

15.7774

1.016

15.0332

1.1344

14.4494

7

20.2777

0.9893

18.4753

1.239

17.3984

1.4184

16.6224

1.5643

16.0128

8

21.955

1.3444

20.0902

1.6465

18.9739

1.8603

18.1682

2.0325

17.5345

9

23.5894

1.7349

21.666

2.0879

20.5125

2.3349

19.679

2.5324

19.0228

10

25.1882

2.1559

23.2093

2.5582

22.0206

2.8372

21.1608

3.0591

20.4832

11

26.7568

2.6032

24.725

3.0535

23.5028

3.3634

22.6179

3.6087

21.92

12

28.2995

3.0738

26.217

3.5706

24.9628

3.9104

24.054

4.1783

23.3367

13

29.8195

3.565

27.6882

4.1069

26.4034

4.4757

25.4715

4.7654

24.7356

14

31.3193

4.0747

29.1412

4.6604

27.8268

5.0572

26.8728

5.3682

26.1189

15

32.8013

4.6009

30.5779

5.2293

29.2349

5.6534

28.2595

5.9849

27.4884

16

34.2672

5.1422

31.9999

5.8122

30.6292

6.2628

29.6332

6.6142

28.8454

17

35.7185

5.6972

33.4087

6.4078

32.0112

6.8842

30.995

7.255

30.191

18

37.1565

6.2648

34.8053

7.0149

33.3817

7.5165

32.3462

7.9062

31.5264

19

38.5823

6.844

36.1909

7.6327

34.742

8.1588

33.6874

8.567

32.8523

20

39.9968

7.4338

37.5662

8.2604

36.0926

8.8105

35.0196

9.2367

34.1696

21

41.4011

8.0337

38.9322

8.8972

37.4345

9.4708

36.3434

9.9146

35.4789

22

42.7957

8.6427

40.2894

9.5425

38.7681

10.139

37.6595

10.6

36.7807

23

44.1813

9.2604

41.6384

10.1957

40.0941

10.8147

38.9683

11.2926

38.0756

24

45.5585

9.8862

42.9798

10.8564

41.413

11.4974

40.2704

11.9918

39.3641

25

46.9279

10.5197

44.3141

11.524

42.7252

12.1867

41.5661

12.6973

40.6465

26

48.2899

11.1602

45.6417

12.1981

44.0311

12.8821

42.8558

13.4086

41.9232

27

49.6449

11.8076

46.9629

12.8785

45.3311

13.5833

44.14

14.1254

43.1945

28

50.9934

12.4613

48.2782

13.5647

46.6256

14.29

45.4188

14.8475

44.4608

29

52.3356

13.1211

49.5879

14.2565

47.9147

15.0019

46.6927

15.5745

45.7223

30

53.672

13.7867

50.8922

14.9535

49.1989

15.7188

47.9618

16.3062

46.9792

40

66.766

20.7065

63.6907

22.1643

61.8117

23.113

60.4361

23.8376

59.3417

60

120

91.9517

163.6482

35.5345

83.8516

88.3794

158.9502

37.4849

86.9233

86.1883

156.0529

38.7435

88.8859

84.5799

153.9182

39.6994

90.3667

83.2977

152.2114


r

0.975

0.03

0.97

0.035

0.965

0.05

0.95

0.1

0.9

1

0.001

4.7093

0.0014

4.4452

0.0019

3.8415

0.0039

2.7055

0.0158



2

0.0506

7.0131

0.0609

6.7048

0.0713

5.9915

0.1026

4.6052

0.2107

3

0.2158

8.9473

0.2451

8.6069

0.2731

7.8147

0.3518

6.2514

0.5844

4

0.4844

10.7119

0.5351

10.345

0.5824

9.4877

0.7107

7.7794

1.0636

5

0.8312

12.3746

0.9031

11.9846

0.9693

11.0705

1.1455

9.2364

1.6103

6

1.2373

13.9676

1.3296

13.5567

1.414

12.5916

1.6354

10.6446

2.2041

7

1.6899

15.5091

1.8016

15.079

1.9033

14.0671

2.1673

12.017

2.8331

8

2.1797

17.0105

2.3101

16.5626

2.4281

15.5073

2.7326

13.3616

3.4895

9

2.7004

18.4796

2.8485

18.015

2.9821

16.919

3.3251

14.6837

4.1682

10

3.247

19.9219

3.4121

19.4415

3.5606

18.307

3.9403

15.9872

4.8652

11

3.8157

21.3416

3.9972

20.8462

4.16

19.6751

4.5748

17.275

5.5778

12

4.4038

22.7418

4.6009

22.232

4.7775

21.0261

5.226

18.5493

6.3038

13

5.0088

24.1249

5.221

23.6015

5.4109

22.362

5.8919

19.8119

7.0415

14

5.6287

25.4931

5.8556

24.9564

6.0583

23.6848

6.5706

21.0641

7.7895

15

6.2621

26.8479

6.5032

26.2985

6.7183

24.9958

7.2609

22.3071

8.5468

16

6.9077

28.1907

7.1625

27.6289

7.3896

26.2962

7.9616

23.5418

9.3122

17

7.5642

29.5227

7.8324

28.9489

8.0712

27.5871

8.6718

24.769

10.0852

18

8.2307

30.8447

8.512

30.2594

8.7622

28.8693

9.3905

25.9894

10.8649

19

8.9065

32.1577

9.2004

31.5611

9.4617

30.1435

10.117

27.2036

11.6509

20

9.5908

33.4624

9.8971

32.8547

10.1692

31.4104

10.8508

28.412

12.4426

21

10.2829

34.7593

10.6013

34.1409

10.8839

32.6706

11.5913

29.6151

13.2396

22

10.9823

36.0492

11.3125

35.4203

11.6055

33.9244

12.338

30.8133

14.0415

23

11.6886

37.3323

12.0303

36.6932

12.3334

35.1725

13.0905

32.0069

14.848

24

12.4012

38.6093

12.7543

37.9601

13.0672

36.415

13.8484

33.1962

15.6587

25

13.1197

39.8804

13.484

39.2214

13.8066

37.6525

14.6114

34.3816

16.4734

26

13.8439

41.146

14.219

40.4775

14.5512

38.8851

15.3792

35.5632

17.2919

27

14.5734

42.4066

14.9592

41.7285

15.3007

40.1133

16.1514

36.7412

18.1139

28

15.3079

43.6622

15.7042

42.9749

16.0549

41.3371

16.9279

37.9159

18.9392

29

16.0471

44.9132

16.4538

44.2169

16.8134

42.557

17.7084

39.0875

19.7677

30

16.7908

46.1599

17.2076

45.4546

17.5761

43.773

18.4927

40.256

20.5992

40

24.433

58.4278

24.9437

57.6402

25.394

55.7585

26.5093

51.8051

29.0505

60

40.4817

82.2251

41.1504

81.2992

41.7383

79.0819

43.188

74.397

46.4589

120

91.5726

150.7802

92.5991

149.5422

93.4986

146.5674

95.7046

140.2326

100.6236


TÀI LIỆU THAM KHÃO

[1]. Thống kê trong kinh tế và kinh doanh, Anderson – Sweeney – Williams, Hoàng Trọng (chủ biên dịch), NXB Hồng Đức 2017.

[2]. ]. Thống kê ứng dụng trong kinh tế và kinh doanh, Hoàng Trọng – Chu Nguyễn Mộng Ngọc, NXB Kinh tế, 2017.

[4]. Lý thuyết xác suất và thống kê toán, Nguyễn Cao Văn, NXB Kinh tế quốc dân, 2012.

[5]. Thống kê ứng dụng trong quản trị, kinh doanh và nghiên cứu kinh tế, Trần Bá Nhẫn, Đinh

Thái Hoàng. 2006, Nhà xuất bản Thống Kê.

[6]. Essentials of probability & statistics for engineers & scientists, Ronald E Walpole, Pearson, 2013.

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