Using the retention data from your Excel exercises in Homework 3, calculate a 95% confidence interval for an interval level variable -- such as GPA. Assume you have a random, representative sample.

High School GPA

3.396589795

3.325261855

2.769711272

3.749101918

3.565378683

3.27294469

3.503461719

3.272368068

3.607063084

3.181459419

3.496018976

3.330767219

3.274376425

3.57990973

3.618499349

3.71394945

3.529362514

3.453737915

3.29338153

3.743678937

3.363614608

3.30708925

3.724226449

3.420120826

3.055898253

3.448693261

3.420268264

2.99

3.459367045

3.557010953

3.377463163

3.490245077

3.601400378

3.416130799

3.062515213

3.478932116

3.152620707

3.944115305

3.148774236

3.366327775

3.027820502

3.347634374

3.522693126

3.78509641

3.509397157

3.347009689

3.256676909

3.460161847

3.702418917

3.535388213

2.958435345

3.129974215

2.902245706

3.270415772

3.519229904

3.225568692

3.44623782

3.453925456

2.827269833

3.419573544

3.177482877

3.480215485

3.148125009

3.211471573

3.517916775

3.315120262

3.165758601

3.24178353

3.234124701

3.048844346

3.426420052

3.2906901

3.143090273

3.388160623

3.58489551

3.44942293

3.47582037

3.285451256

3.140210724

3.233011845

3.786723828

3.854913814

3.358031975

3.694802326

3.285350586

3.626020491

3.30442889

3.945748163

3.878104827

3.19319242

3.388542649

2.832856316

3.68920649

3.232489797

3.813494469

3.287382046

3.482177783

3.283242655

3.211615177

2.825571808

3.23280963

3.614382218

3.297297809

3.462080173

3.353386982

3.722919296

2.794997969

3.88421737

3.324574693

3.363804911

3.479297754

3.287675221

2.960949388

3.606776077

3.236524122

3.376614341

3.047805063

3.123079788

3.441587307

3.210585965

3.322428551

3.377679917

3.706906788

3.703714036

3

3.414824374

3.254142566

3.413515364

3.403973359

3.274722425

3.502321519

3.425344513

3.370649667

3.191774156

3.648509138

2.665797647

3.381741914

2.602511944

3.848788738

3.414714149

2.738629128

3.195636969

2.937239641

2.7635197

3.60024112

3.28541631

3.95

3.232459524

2.892065481

3.098929322

3.448072848

3.556111505

3.209398141

3.204918795

3.244420856

3.054045735

3.220611722

2.736189933

3.55

3.283995746

2.993786747

3.494751836

3.601037001

2.547539811

3.093041325

3.703501897

2.726591062

3.233687129

3.454736516

3.451750245

3.08064014

3.204632868

3.106078501

3.435109822

2.799667436

3.155508688

3.400188757

2.942785755

3.328179748

3.76066055

3.116543672

3.51219623

3.639398455

2.926650562

3.28355847

3.330812315

2.867233881

3.409358596

3.34423185

3.048235413

3.735121798

3.132915638

3.427530834

3.266957457

3.024577348

2.955219078

3.284401293

3.022952138

3.056759698

3.48326478

2.888615946

3.828108256

3.288663319

3.787956073

3.048504142

3.633158905

3.888833232

3.226325

3.050228927

3.442267924

3.322736068

3.286812403

3.61748722

3.467379096

3.23927227

3.004447974

3.03344046

2.898606247

3.993233545

3.110119452

3.493420362

3.523641076

3.377905356

3.577861096

3.476730422

3.811539939

3.241219947

3.197807451

3.738358985

3.325649172

3.527328792

3.635349954

4.024282753

3.538816655

3.088494396

3.257517627

3.56362546

3.462676382

3.362112566

3.272522485

3.444066679

3.396756972

3.383340327

3.332547936

2.956191195

3.238254024

3.602636485

3.346442201

3.70699365

3.283658431

3.364481793

3.218637138

3.478815704

3.765061041

3.855227779

3.870954509

3.130604626

3.154481047

3.187246747

3.17241668

3.147993237

3.753376874

3.685451062

3.492740676

2.970357935

3.247222042

3.122135262

3.288462289

2.840936584

3.115939866

3.675909912

3.311857602

3.640744486

3.758078871

3.107629604

3.191746726

3.453813023

2.937447824

2.790760645

3.232993626

3.033829108

2.596771772

3.424660578

3.598759986

3.395328158

3.542076951

3.154016153

3.54189372

2.726794186

2.745828628

3.418805582

3.27146043

3.02987689

3.615266762

2.810922885

3.639815846

2.906249617

3.02396655

3.331521546

2.833377018

2.380792387

3.119260132

3.056910756

3.454192674

3.248562861

3.004606628

3.463975488

3.319287646

3.362021155

3.159321439

3.698054925

3.239409597

3.240332669

3.200106001

3.579264136

3.220664561

3.275202327

3.457149559

3.275358773

3.438678743

3.466703174

2.765022697

3.509596369

3.415180664

3.799908485

2.996038213

3.337101339

3.517154276

3.796131736

3.337439472

3.622067936

3.114435663

3.391564244

3.78080311

3.398530087

3.389930892

3.003739455

2.908045809

3.375573304

3.451679821

2.858904149

3.173402211

3.240131983

2.952766304

3.282858609

3.709097734

3.524409758

3.073183526

3.312692086

3.349833456

3.397801975

3.520615573

3.307797216

3.103286137

3.216719094

3.485772605

3.483846329

3.328504646

3.155226351

3.502197643

3.163300707

2.851521095

3.325518126

3.687560029

3.202482157

3.274748051

3.409681662

3.826170095

3.541313423

3.305134233

3.07592438

2.983711492

3.143643

3.776345352

3.550840668

3.209879247

2.894622342

3.277126111

2.980778329

3.315895283

3.390258359

3.331099334

3.254222113

3.69107517

3.366550073

3.218454656

3.076940973

3.253763305

3.761784622

3.27567055

3.707688538

3.099816384

3.22807177

3.911159698

2.914494732

3.843017925

3.383674668

3.699635075

2.91656594

3.718573284

3.482988826

2.986854455

3.143025653

3.090335884

3.539807433

3.040046577

3.284336695

2.915610889

3.695318614

3.275442535

3.131224292

3.072369261

3.230404747

3.309516366

3.171502537

3.199433832

3.384945234

3.235782562

3.095970645

3.230873399

3.158491287

3.380537005

3.451403596

3.355018159

3.649910064

3.306364597

3.62249992

3.400775266

3.445752015

3.443951412

3.726288864

3.361039158

3.261488167

3.563718194

3.318941546

3.41040149

4.19

2.88086996

3.385049144

3.580847436

3.367347219

3.224657095

2.804644363

3.189376837

3.892097628

3.256779743

3.189520577

3.611697343

3.45839233

3.367765365

3.370238484

3.81492052

2.54295699

3.372023082

3.267997639

3.739560706

2.797814647

3.289796365

3.390438218

3.151463723

3.148043082

3.755438679

3.508299549

3.671315052

3.479405964

2.940394207

3.293155766

3.159529031

3.065854992

3.834298849

3.182880733

3.260278839

3.290971721

3.606575932

3.093831221

3.66

3.169843897

3.074258531

2.628623849

3.221437032

2.736076731

3.470447188

3.114936581

3.243443616

3.24067356

2.601852098

3.539550906

3.437148708

3.5256177

3.48862577

2.913031267

3.161518097

3.267676145

3.905692373

3.46982039

3.214284509

3.484966235

3.065974717

3.703148843

2.725831426

3.399189414

3.150842585

3.178950608

2.951076698

3.380265327

3.318566717

3.264837961

3.467628105

3.558723192

3.246532983

3.493787947

3.621985466

3.549805612

3.2732051

3.449053545

3.757966496

3.221916164

3.425639726

2.871984455

3.351044961

3.016583296

2.774548328

3.388077329

3.325802838

3.242785861

2.813166182

3.246611746

2.903695862

3.484426642

3.58429212

3.133758046

2.418121564

3.210145731

3.316379803

3.389766212

3.36406063

3.271975297

3.347293326

2.965111782

3.877932859

3.306745285

3.451293842

3.822482953

3.39903621

3.001554474

3.205805398

3.175604963

3.631184246

3.959118609

3.264154176

3.764408646

3.644994535

3.552841239

3.215441765

3.209362761

3.220741827

3.513696584

2.997865894

3.329241151

3.486065776

3.301865763

3.458570266

3.181451851

3.347025142

3.294506014

3.481300981

3.280781362

3.867965037

3.124761458

2.941163035

3.250534259

3.278400764

3.061411479

3.349996152

3.225794293

3.674561626

3.366812344

3.246876877

2.842904108

3.138428965

3.06126603

3.408672029

4.11

3.412453518

3.271963873

3.255557136

3.79510974

3.431578275

3.497267409

3.564238931

3.257180433

3.444567794

3.374195352

3.514185668

3.343288011

3.435785024

2.802868846

3.62171061

3.209248013

3.350440615

3.328221863

3.241191848

3.466633135

3.001043714

3.644133348

3.047920118

3.539578997

3.013582651

3.258139235

2.801196336

3.542792876

3.614891937

3.605915587

3.489160903

3.379467379

2.472992336

2.687317334

3.110289791

3.989235798

3.688730837

3.634221325

3.574646648

3.214300072

2.790333222

3.127257073

3.721544392

3.554424247

3.155579688

3.164605003

3.255454742

3.33378063

3.152524231

3.399884022

3.06598399

3.533892051

3.221487613

3.337479956

3.407554927

3.021696809

3.457208959

3.113982699

3.757396894

3.509660462

3.76209151

3.299084929

3.043712756

3.251527248

3.487158598

3.558513776

3.296986609

3.331335268

2.968579296

3.411850179

3.270895944

2.966845075

3.227155134

3.364082392

3.318188585

3.581442674

3.142303005

3.539129427

3.160584877

2.673218514

3.153244469

3.106733626

3.403304958

3.255697222

3.318896117

3.436342014

3.249528715

3.284385613

3.496070089

2.802144737

3.538125109

3.603502901

3.344853225

3.426822512

3.108349934

3.16382548

3.137316279

3.248093074

3.389697423

3.428240595

3.159725717

3.716650618

2.907816181

2.975074628

3.39546762

3.227865846

3.204904537

3.20789346

2.966227757

3.566733333

3.390166521

3.660621799

3.281987404

3.807238589

3.15077229

3.605062084

3.096680402

2.840586059

3.185433059

3.044979167

3.366967161

3.596050001

3.2713475

3.416408087

3.430210362

3.161066239

3.255588564

3.524735054

3.40546229

3.479188887

3.32479231

3.555668516

3.757085222

3.409296114

3.22

2.816798505

3.490675685

3.931429215

3.28892822

3.09506369

3.314830838

3.10709081

3.345706312

3.405592914

3.275771224

3.520050862

2.892544964

3.541611493

3.459106372

3.40559706

3.504112274

3.096015266

2.977589692

3.197336454

3.781400869

3.261033138

2.801627271

3.437516239

3.334673622

3.608500902

3.303927146

3.449003006

3.928071351

3.644750347

3.159796976

3.449264935

3.480920103

3.401250727

2.906235827

3.309374247

3.449946749

3.295978239

3.482509806

2.867709287

3.831787751

3.545528463

2.836024951

3.478141049

3.148500164

3.299522263

3.370142093

3.521291139

3.409984507

3.279245124

3.524055681

3.2

3.479777691

3.237865623

3.25107388

3.740984955

3.965139658

3.762763688

3.155914113

3.656977832

2.962252108

3.85320748

3.094895272

3.092448539

3.284905102

3.525615112

3.412433751

3.360822609

3.502216561

3.228794391

2.716987468

3.363984459

3.020828084

2.847591792

2.817867103

3.496249739

3.775584293

3.477709937

3.13196458

3.481637

3.301322612

3.224754774

3.906186283

2.8041825

3.085406067

2.938414759

3.475052276

3.214874478

3.404113571

3.710569886

3.803223301

3.0650186

3.438681332

2.998114744

3.403835

3.090932581

3.585787085

3.735366978

3.340876466

3.7157543

3.324525845

3.474584912

3.312496754

2.565972934

3.73372247

3.651649508

3.606489113

3.186896082

3.763217416

3.753529794

3.442458552

3.266277417

3.272455586

2.891838476

2.869633692

3.55

3.799581451

3.561573682

3.278659204

3.507915412

3.181822939

3.131833402

3.652671152

3.379170469

3.582613639

3.553397405

2.987367109

3.141263694

3.36871541

3.891591725

3.240713896

2.993992285

3.521635967

3.204236215

3.094048086

2.866756358

2.912603501

3.479097279

3.616953793

3.561875262

3.330032048

3.720017352

3.000979649

3.389268073

3.261301937

2.940137493

3.418085594

3.343235623

3.269035153

3.914479815

3.006780661

3.730544643

3.589638623

3.329345418

3.97300417

3.879252245

3.502121195

3.264012171

3.220930704

3.540570238

3.423175772

3.424024574

3.639409254

3.240423816

3.658585856

3.331176151

3.223864393

3.628848532

2.715650059

3.11029444

3.331078161

3.473894545

2.88186594

3.000179163

3.187019158

3.161858603

3.78478401

3.32296297

3.633899906

3.578262955

3.275788997

3.333664143

3.993306939

2.765661641

3.492910626

3.003412525

3.357138397

3.743548006

3.120545095

2.803058736

3.022128949

3.471279255

3.543058517

2.933892797

3.490129596

3.208331955

3.458419437

3.148646721

3.736796585

3.409159177

3.192867587

3.1911949

3.326583455

3.16522733

3.389574768

3.735836046

2.827654508

2.686509424

3.795739771

3.023248509

3.022114308

2.972011215

3.013797562

3.529980298

3.18315914

2.911946146

3.761528083

3.386574308

3.300832534

2.865737371

2.787830866

2.597206162

3.295966136

3.373087832

3.761574373

3.451246426

3.725973308

3.587157763

3.27953302

3.574820019

3.597688393

3.578229489

3.307527616

3.218847669

3.641946639

3.309172683

3.151302043

3.714957818

3.35685469

4.168658169

3.730162474

3.604176989

2.946802895

3.412427571

3.40893522

3.368480322

3.116300262

3.118474239

4.03406449

4.1

3.336486734

3.642455521

3.356071969

3.176726673

3.689638324

3.928216007

2.691027795

3.955813165

3.421106137

3.205286441

3.199207518

3.660520971

3.250724744

3.437191588

3.145006792

3.32730423

3.584542115

3.146047899

3.201530377

2.904145383

3.609196484

3.710578317

3.587717055

3.80795852

3.332822924

3.28578485

3.221645358

2.79938967

3.433083798

3.321641003

3.671699474

3.370705306

3.486862862