In the automated packaging process, equipment is set to fill boxes with a mean weight of 625 grams. This is the standard for the population. Population standard deviation is not known.

1.Calculate a 95% confidence interval for the mean weight of the cereal boxes, using the sample data given in the Excel spreadsheet labeled Cereal Weights.

This is the sample data:

584.574

586.6838

593.3908

593.4192

593.4475

594.5006

594.529

594.5973

596.6794

596.7361

596.8239

597.7892

597.8662

597.9524

598.749

599.5739

599.8588

600.4809

600.7724

601.584

601.6144

601.669

601.8672

602.6938

602.7659

602.7788

606.3384

606.349

606.3779

606.4599

606.5473

606.6019

606.6586

606.9447

607.3133

607.3416

607.4282

607.4764

607.5885

607.7117

607.7684

607.8608

607.8892

607.9627

607.9628

607.9911

608.0178

608.0478

608.4144

608.5214

608.5581

608.6148

608.8699

608.8983

608.8984

608.9833

608.9985

609.0725

609.0926

609.1009

609.1576

609.4086

609.4204

609.6212

609.7246

609.7679

609.9797

610.0081

610.0082

610.0783

610.0931

610.4123

610.4488

610.4972

610.5184

610.5827

610.6276

610.7974

610.8541

610.9226

611.0526

611.0793

611.1093

611.1676

611.3931

611.4525

611.4809

611.5345

611.7374

612.0195

612.0762

612.1329

612.1811

612.2463

612.303

612.4731

612.5015

612.5129

612.5298

612.5432

612.5581

612.581

612.6094

612.643

612.6435

612.7437

612.9834

613.0401

613.0683

613.148

613.2347

613.2614

613.2953

613.2956

613.3327

613.3748

613.4315

613.4539

613.6016

613.6298

613.6524

613.6566

613.6583

613.6685

613.7091

613.7712

613.7715

613.7922

613.8996

613.9191

613.9446

614.0013

614.0577

614.058

614.0607

614.0889

614.1119

614.1147

614.1174

614.1276

614.1386

614.143

614.2458

614.3442

614.3726

614.3838

614.3938

614.4009

614.6293

614.8719

614.9111

614.9767

615.0052

615.0176

615.0544

615.1095

615.1111

615.127

615.1379

615.1454

615.1592

615.1678

615.2159

615.2245

615.2443

615.2461

615.2528

615.2791

615.2988

615.3172

615.4427

615.4497

615.4711

615.4994

615.5064

615.5278

615.5304

615.5348

615.6349

615.705

615.7141

615.7226

615.7327

615.7899

615.807

615.8268

615.8439

615.8466

615.8467

615.8554

615.8751

615.892

615.9271

615.9687

615.9772

615.9839

616.0141

616.0451

616.0525

616.0688

616.0972

616.1188

616.1255

616.188

616.2673

616.2956

616.3173

616.3239

616.3523

616.4307

616.4874

616.7992

616.8276

616.8335

616.8843

616.9666

616.9758

616.9859

617.0091

617.0182

617.1195

617.1239

617.1523

617.4599

617.6279

617.6848

617.7132

617.7415

617.7698

617.8549

617.8731

617.8832

617.8936

618.0471

618.0754

618.1076

618.2234

618.2801

618.3085

618.4502

618.4786

618.5069

618.5069

618.5636

618.5853

618.6487

618.6769

618.7054

618.7337

618.7475

618.7521

618.7622

618.8042

618.8893

618.9322

618.9467

618.9605

618.9607

618.9887

618.9988

619.0591

619.0874

619.0875

619.1077

619.1307

619.1441

619.3993

619.4276

619.4473

619.4556

619.4558

619.4659

619.4761

619.4843

619.5127

619.5694

619.7024

619.7307

619.7678

619.8327

619.9245

619.9248

619.9529

620.0142

620.0379

620.0662

620.0946

620.1229

620.1231

620.1235

620.1816

620.1944

620.2383

620.2931

620.313

620.3214

620.3498

620.3782

620.5525

620.5867

620.7183

620.8309

620.8592

620.9667

621.1127

621.1435

621.2914

621.3229

621.3481

621.375

621.6511

621.6821

621.7343

621.7526

621.7808

622.0789

622.1074

622.1859

622.2262

622.2345

622.2349

622.254

622.2821

622.3388

622.3673

622.4047

622.4332

622.4614

622.4779

622.5035

622.5065

622.5181

622.5682

622.6031

622.6508

622.6882

622.7165

622.7365

622.7448

622.8013

622.8016

623.0567

623.1703

623.2268

623.2551

623.3825

623.4658

623.4819

623.5387

623.5589

623.567

623.5877

623.5954

623.6119

623.6163

623.7493

623.782

623.8222

623.8415

624.0206

624.0309

624.0568

624.0773

624.0776

624.2269

624.2336

624.2619

624.2758

624.2903

624.3774

624.4057

624.4704

624.4907

624.5188

624.5472

624.6039

624.7217

624.8918

624.9399

625.0128

625.231

625.2591

625.3126

625.3256

625.3693

625.3977

625.4263

625.4872

625.5155

625.6082

625.7213

625.7379

625.7401

625.7946

625.8229

626.1348

626.1915

626.2114

626.3315

626.3531

626.3576

626.4099

626.4142

626.5361

626.8155

626.8747

626.9033

626.9123

626.9316

626.9318

626.9853

627.0137

627.0138

627.042

627.0703

627.0805

627.1273

627.1554

627.2121

627.2122

627.2123

627.2404

627.2688

627.3258

627.4956

627.5239

627.524

627.5552

627.6492

627.7711

627.7995

627.7997

627.8196

627.8278

627.8358

627.8359

627.8441

627.8562

627.8925

627.8999

627.9253

627.9307

627.9732

628.0303

628.0318

628.0601

628.2371

628.4356

628.5448

628.5649

628.5732

628.6216

628.65

628.6502

628.6783

628.6786

628.6789

628.7067

628.735

628.7352

628.7697

628.8768

628.9051

628.9335

628.9902

629.0532

629.0832

629.6422

629.6526

629.6528

629.6546

629.683

629.7093

629.9928

629.9928

630.0495

630.0778

630.9546

632.0644

632.0907

632.1474

632.2041

633.3953

633.5042

634.4114

634.4154

634.4437

635.436

635.4366

635.4643

636.5351

638.2103

638.4877

638.4979

638.5261

638.7246

638.7505

638.7626

638.8356

638.8358

638.8639