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TABLE A.7 Critical values of t (from the 3rd edition textbook)
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Confidence Interval question and I have already attached Z table and T table down below. Please use these tables I attached only if need to .

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A sales consultant for Herron Pharmaceuticals wished to confirm that their packet of 24 paracetamol tablets was cheaper at the retail level than their rival product. The sales consultant collected price data from two independent samples, of size 19 for Herron and 26 for the rival company. These yielded an average and variance for the retail price of Herron's product of 335 cents and 58 cents squared respectively, and 385 cents and 61 cents squared for the rival. Under the usual assumptions, determine an 80% confidence interval for the price difference (use Herron minus rival) stating only the lower limit of the interval in cents (round to the nearest whole number).
TABLE A.7 Critical values of t

 

(from the 3rd edition textbook) Upper tail area (shaded)

 

0 tcrit t Upper tail areas df t.10 t.05 t.025 t.01 t.005 1

 

2

 

3

 

4

 

5

 

6

 

7

 

8

 

9

 

10

 

11

 

12

 

13

 

14

 

15

 

16

 

17

 

18

 

19

 

20

 

21

 

22

 

23

 

24

 

25

 

26

 

27

 

28

 

29

 

30

 

31

 

32

 

33

 

34

 

35

 

36

 

37

 

38

 

39

 

40

 

41

 

42

 

43

 

44

 

45

 

46

 

47

 

48

 

49

 

50 3.078

 

1.886

 

1.638

 

1.533

 

1.476

 

1.440

 

1.415

 

1.397

 

1.383

 

1.372

 

1.363

 

1.356

 

1.350

 

1.345

 

1.341

 

1.337

 

1.333

 

1.330

 

1.328

 

1.325

 

1.323

 

1.321

 

1.319

 

1.318

 

1.316

 

1.315

 

1.314

 

1.313

 

1.311

 

1.310

 

1.309

 

1.309

 

1.308

 

1.307

 

1.306

 

1.306

 

1.305

 

1.304

 

1.304

 

1.303

 

1.303

 

1.302

 

1.302

 

1.301

 

1.301

 

1.300

 

1.300

 

1.299

 

1.299

 

1.299 6.314

 

2.920

 

2.353

 

2.132

 

2.015

 

1.943

 

1.895

 

1.860

 

1.833

 

1.812

 

1.796

 

1.782

 

1.771

 

1.761

 

1.753

 

1.746

 

1.740

 

1.734

 

1.729

 

1.725

 

1.721

 

1.717

 

1.714

 

1.711

 

1.708

 

1.706

 

1.703

 

1.701

 

1.699

 

1.697

 

1.696

 

1.694

 

1.692

 

1.691

 

1.690

 

1.688

 

1.687

 

1.686

 

1.685

 

1.684

 

1.683

 

1.682

 

1.681

 

1.680

 

1.679

 

1.679

 

1.678

 

1.677

 

1.677

 

1.676 12.706

 

4.303

 

3.182

 

2.776

 

2.571

 

2.447

 

2.365

 

2.306

 

2.262

 

2.228

 

2.201

 

2.179

 

2.160

 

2.145

 

2.131

 

2.120

 

2.110

 

2.101

 

2.093

 

2.086

 

2.080

 

2.074

 

2.069

 

2.064

 

2.060

 

2.056

 

2.052

 

2.048

 

2.045

 

2.042

 

2.040

 

2.037

 

2.035

 

2.032

 

2.030

 

2.028

 

2.026

 

2.024

 

2.023

 

2.021

 

2.020

 

2.018

 

2.017

 

2.015

 

2.014

 

2.013

 

2.012

 

2.011

 

2.010

 

2.009 31.821

 

6.965

 

4.541

 

3.747

 

3.365

 

3.143

 

2.998

 

2.896

 

2.821

 

2.764

 

2.718

 

2.681

 

2.650

 

2.624

 

2.602

 

2.583

 

2.567

 

2.552

 

2.539

 

2.528

 

2.518

 

2.508

 

2.500

 

2.492

 

2.485

 

2.479

 

2.473

 

2.467

 

2.462

 

2.457

 

2.453

 

2.449

 

2.445

 

2.441

 

2.438

 

2.434

 

2.431

 

2.429

 

2.426

 

2.423

 

2.421

 

2.418

 

2.416

 

2.414

 

2.412

 

2.410

 

2.408

 

2.407

 

2.405

 

2.403 63.657

 

9.925

 

5.841

 

4.604

 

4.032

 

3.707

 

3.499

 

3.355

 

3.250

 

3.169

 

3.106

 

3.055

 

3.012

 

2.977

 

2.947

 

2.921

 

2.898

 

2.878

 

2.861

 

2.845

 

2.831

 

2.819

 

2.807

 

2.797

 

2.787

 

2.779

 

2.771

 

2.763

 

2.756

 

2.750

 

2.744

 

2.738

 

2.733

 

2.728

 

2.724

 

2.719

 

2.715

 

2.712

 

2.708

 

2.704

 

2.701

 

2.698

 

2.695

 

2.692

 

2.690

 

2.687

 

2.685

 

2.682

 

2.680

 

2.678 770? Appendix t.001

 

318.309

 

22.327

 

10.215

 

7.173

 

5.893

 

5.208

 

4.785

 

4.501

 

4.297

 

4.144

 

4.025

 

3.930

 

3.852

 

3.787

 

3.733

 

3.686

 

3.646

 

3.610

 

3.579

 

3.552

 

3.527

 

3.505

 

3.485

 

3.467

 

3.450

 

3.435

 

3.421

 

3.408

 

3.396

 

3.385

 

3.375

 

3.365

 

3.356

 

3.348

 

3.340

 

3.333

 

3.326

 

3.319

 

3.313

 

3.307

 

3.301

 

3.296

 

3.291

 

3.286

 

3.281

 

3.277

 

3.273

 

3.269

 

3.265

 

3.261 Upper tail area (shaded)

 

0 tcrit t Upper tail areas df t.10 t.05 t.025 t.01 t.005 t.001 51

 

52

 

53

 

54

 

55

 

56

 

57

 

58

 

59

 

60

 

61

 

62

 

63

 

64

 

65

 

66

 

67

 

68

 

69

 

70

 

71

 

72

 

73

 

74

 

75

 

76

 

77

 

78

 

79

 

80

 

81

 

82

 

83

 

84

 

85

 

86

 

87

 

88

 

89

 

90

 

91

 

92

 

93

 

94

 

95

 

96

 

97

 

98

 

99

 

100

 

150

 

200 1.298

 

1.298

 

1.298

 

1.297

 

1.297

 

1.297

 

1.297

 

1.296

 

1.296

 

1.296

 

1.296

 

1.295

 

1.295

 

1.295

 

1.295

 

1.295

 

1.294

 

1.294

 

1.294

 

1.294

 

1.294

 

1.293

 

1.293

 

1.293

 

1.293

 

1.293

 

1.293

 

1.292

 

1.292

 

1.292

 

1.292

 

1.292

 

1.292

 

1.292

 

1.292

 

1.291

 

1.291

 

1.291

 

1.291

 

1.291

 

1.291

 

1.291

 

1.291

 

1.291

 

1.291

 

1.290

 

1.290

 

1.290

 

1.290

 

1.290

 

1.287

 

1.286

 

1.282 1.675

 

1.675

 

1.674

 

1.674

 

1.673

 

1.673

 

1.672

 

1.672

 

1.671

 

1.671

 

1.670

 

1.670

 

1.669

 

1.669

 

1.669

 

1.668

 

1.668

 

1.668

 

1.667

 

1.667

 

1.667

 

1.666

 

1.666

 

1.666

 

1.665

 

1.665

 

1.665

 

1.665

 

1.664

 

1.664

 

1.664

 

1.664

 

1.663

 

1.663

 

1.663

 

1.663

 

1.663

 

1.662

 

1.662

 

1.662

 

1.662

 

1.662

 

1.661

 

1.661

 

1.661

 

1.661

 

1.661

 

1.661

 

1.660

 

1.660

 

1.655

 

1.653

 

1.645 2.008

 

2.007

 

2.006

 

2.005

 

2.004

 

2.003

 

2.002

 

2.002

 

2.001

 

2.000

 

2.000

 

1.999

 

1.998

 

1.998

 

1.997

 

1.997

 

1.996

 

1.995

 

1.995

 

1.994

 

1.994

 

1.993

 

1.993

 

1.993

 

1.992

 

1.992

 

1.991

 

1.991

 

1.990

 

1.990

 

1.990

 

1.989

 

1.989

 

1.989

 

1.988

 

1.988

 

1.988

 

1.987

 

1.987

 

1.987

 

1.986

 

1.986

 

1.986

 

1.986

 

1.985

 

1.985

 

1.985

 

1.984

 

1.984

 

1.984

 

1.976

 

1.972

 

1.960 2.402

 

2.400

 

2.399

 

2.397

 

2.396

 

2.395

 

2.394

 

2.392

 

2.391

 

2.390

 

2.389

 

2.388

 

2.387

 

2.386

 

2.385

 

2.384

 

2.383

 

2.382

 

2.382

 

2.381

 

2.380

 

2.379

 

2.379

 

2.378

 

2.377

 

2.376

 

2.376

 

2.375

 

2.374

 

2.374

 

2.373

 

2.373

 

2.372

 

2.372

 

2.371

 

2.370

 

2.370

 

2.369

 

2.369

 

2.368

 

2.368

 

2.368

 

2.367

 

2.367

 

2.366

 

2.366

 

2.365

 

2.365

 

2.365

 

2.364

 

2.351

 

2.345

 

2.326 2.676

 

2.674

 

2.672

 

2.670

 

2.668

 

2.667

 

2.665

 

2.663

 

2.662

 

2.660

 

2.659

 

2.657

 

2.656

 

2.655

 

2.654

 

2.652

 

2.651

 

2.650

 

2.649

 

2.648

 

2.647

 

2.646

 

2.645

 

2.644

 

2.643

 

2.642

 

2.641

 

2.640

 

2.640

 

2.639

 

2.638

 

2.637

 

2.636

 

2.636

 

2.635

 

2.634

 

2.634

 

2.633

 

2.632

 

2.632

 

2.631

 

2.630

 

2.630

 

2.629

 

2.629

 

2.628

 

2.627

 

2.627

 

2.626

 

2.626

 

2.609

 

2.601

 

2.576 3.258

 

3.255

 

3.251

 

3.248

 

3.245

 

3.242

 

3.239

 

3.237

 

3.234

 

3.232

 

3.229

 

3.227

 

3.225

 

3.223

 

3.220

 

3.218

 

3.216

 

3.214

 

3.213

 

3.211

 

3.209

 

3.207

 

3.206

 

3.204

 

3.202

 

3.201

 

3.199

 

3.198

 

3.197

 

3.195

 

3.194

 

3.193

 

3.191

 

3.190

 

3.189

 

3.188

 

3.187

 

3.185

 

3.184

 

3.183

 

3.182

 

3.181

 

3.180

 

3.179

 

3.178

 

3.177

 

3.176

 

3.175

 

3.175

 

3.174

 

3.145

 

3.131

 

3.090 ? Appendix? 771

 







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