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

GSK Pharmaceuticals wish to ensure that their Paracetamol tablets contain, on average, the amount quoted on the packet of their product - namely 500 mg. Clinical tests on a random sample of 54 tablets yielded an average of 529.82 mg of Paracetamol per tablet. It can be assumed, on the basis of previous trials, that the standard deviation of Paracetamol in each tablet is 9.7 mg. Construct a 97% confidence interval for the average amount of Paracetamol. Report only the lower limit correct to two decimal places.
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

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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This question was answered on: Feb 21, 2020

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