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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

 

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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