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Introductory Statistics : Student Solutions Manual

by: Prem S. Mann (Eastern Connecticut State Univ.)

Introductory Statistics : Student Solutions Manual

by: Prem S. Mann (Eastern Connecticut State Univ.)

ISBN 13:
9780471373537
ISBN 10:
0471373532
Edition: 4th
Format: Hardcover
Copyright: 01/01/2001
Publisher: Wiley
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Summary

Diagrams are used frequently throughout the book to explain difficult concepts. Clear and concise explanations of statistical methods. Step-by-step solutions to each problem presented in an example.

Introduction

(24)

What Is Statistics?

(1)

Types of Statistics

(3)

Descriptive Statistics

(1)

Plastic in Your Pocket

(1)

Inferential Statistics

(1)

Public Schools Making Grade?

(1)

Exercises

(1)

Population Versus Sample

(4)

Americans Expect Good, Bad, and Catastrophic

(2)

Exercises

(1)

Basic Terms

(2)

Exercises

(1)

Types of Variables

(3)

Quantitative Variables

(1)

Qualitative or Categorical Variables

(1)

Exercises

(1)

Cross-Section Versus Time-Series Data

(1)

Cross-Section Data

(1)

Time-Series Data

(1)

Sources of Data

(1)

Exercises

(1)

Summation Notation

(8)

Exercises

(6)

Glossary

Supplementary Exercises

Self-Review Test

Mini-Project

Computer Assignments

Organizing Data

(44)

Raw Data

(1)

Organizing and Graphing Qualitative Data

(8)

Frequency Distributions

(2)

Relative Frequency and Percentage Distributions

(1)

Graphical Presentation of Qualitative Data

(1)

Job Stress Can Be Satisfying

(2)

Why Eat Out?

(1)

Exercises

(2)

Organizing and Graphing Quantitative Data

(11)

Frequency Distributions

(2)

Constructing Frequency Distribution Tables

(3)

Relative Frequency and Percentage Distributions

(1)

Graphing Group Data

(1)

Boomers Go Fish

(2)

More on Classes and Frequency Distributions

(2)

Shapes of Histograms

(7)

Using Truncated Axes

(1)

Exercises

(5)

Cumulative Frequency Distributions

(3)

Exercises

(1)

Stem-and-Leaf Displays

(14)

Exercises

(11)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Numerical Descriptive Measures

(58)

Measures of Central Tendency for Ungrouped Data

(12)

Mean

(3)

Earnings by Degree

(1)

Median

(1)

Cars, Trucks Older than Ever

(1)

Mode

(2)

Relationships Among the Mean, Median, and Mode

(1)

Exercises

(3)

Measures of Dispersion for Ungrouped Data

(9)

Range

(1)

Variance and Standard Deviation

(4)

Population Parameters and Sample Statistics

(1)

Exercises

(3)

Mean, Variance, and Standard Deviation for Grouped Data

(7)

Mean for Grouped Data

(2)

Variance and Standard Deviation for Grouped Data

(3)

Exercises

(2)

Use of Standard Deviation

(6)

Chebyshev's Theorem

(2)

Empirical Rule

100

(1)

Here Comes the SD

101

(1)

Exercises

102

(2)

Measures of Position

104

(5)

Quartiles and Interquartile Range

104

(2)

Percentiles and Percentile Rank

106

(2)

Exercises

108

(1)

Box-and-Whisker Plot

109

(18)

Exercises

111

(16)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Appendix 3.1

Self-Review Test

Mini-Project

Computer Assignments

Probability

127

(57)

Experiment, Outcomes, and Sample Space

128

(5)

Simple and Compound Events

130

(2)

Exercises

132

(1)

Calculating Probability

133

(8)

Three Conceptual Approaches to Probability

134

(5)

Exercises

139

(2)

Counting Rule

141

(1)

Marginal and Conditional Probabilities

142

(4)

Stress Busters

145

(1)

Mutually Exclusive Events

146

(1)

Independent versus Dependent Events

147

(2)

Complementary Events

149

(5)

Exercises

151

(3)

Intersection of Events and the Multiplication Rule

154

(11)

Intersection of Events

154

(1)

Multiplication Rule

155

(6)

Baseball Players Have ``Slumps'' and ``Streaks''

161

(1)

Exercises

162

(3)

Union of Events and the Addition Rule

165

(19)

Union of Events

165

(1)

Addition Rule

166

(5)

Exercises

171

(13)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Discrete Random Variables and their Probability Distributions

184

(56)

Random Variables

185

(2)

Discrete Random Variable

185

(1)

Continuous Random Variable

186

(1)

Exercises

187

(1)

Probability Distribution of a Discrete Random Variable

187

(7)

Exercises

192

(2)

Mean of a Discrete Random Variable

194

(4)

Aces High Instant Lottery

196

(2)

Standard Deviation of a Discrete Random Variable

198

(4)

Exercises

201

(1)

Factorials and Combinations

202

(7)

Factorials

203

(1)

Combinations

204

(2)

Playing Lotto

206

(1)

Using the Table of Combinations

207

(1)

Exercises

208

(1)

The Binomial Probability Distribution

209

(13)

The Binomial Experiment

209

(1)

The Binomial Probability Distribution and Binomial Formula

210

(5)

Using the Table of Binomial Probabilities

215

(3)

Probability of Success and the Shape of the Binomial Distribution

218

(1)

Mean and Standard Deviation of the Binomial Distribution

219

(1)

Exercises

219

(3)

The Poisson Probability Distribution

222

(18)

Ask Mr. Statistics

226

(1)

Using the Table of Poisson Probabilities

227

(1)

Mean and Standard Deviation of the Poisson Probability Distribution

228

(1)

Exercises

229

(11)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Continuous Random Variables and the Normal Distribution

240

(50)

Continuous Probability Distribution

241

(6)

Distribution of Time Taken to Run a Road Race

244

(3)

The Normal Distribution

247

(2)

The Standard Normal Distribution

249

(8)

Exercises

256

(1)

Standardizing a Normal Distribution

257

(7)

Exercises

263

(1)

Applications of the Normal Distribution

264

(6)

Exercises

268

(2)

Determining the z and x Values When an Area Under the Normal Distribution Curve Is Known

270

(5)

Exercises

273

(2)

The Normal Approximation to the Binomial Distribution

275

(15)

Exercises

280

(10)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Sampling Distributions

290

(43)

Population and Sampling Distributions

291

(3)

Population Distribution

291

(1)

Sampling Distribution

292

(2)

Sampling and Nonsampling Errors

294

(3)

Exercises

296

(1)

Mean and Standard Deviation of x

297

(4)

Exercises

300

(1)

Shape of the Sampling Distribution of x

301

(7)

Sampling from a Normally Distributed Population

302

(2)

Sampling from a Population That is Not Normally Distributed

304

(3)

Exercises

307

(1)

Applications of the Sampling Distribution of x

308

(6)

Exercises

312

(2)

Population and Sample Proportions

314

(1)

Mean, Standard Deviation, and Shape of the Sampling Distribution of p

315

(7)

Sampling Distribution of p

315

(2)

Mean and Standard Deviation of p

317

(1)

Shape of the Sampling Distribution of p

318

(1)

Clinton Poll Numbers Are Not Pulled from a Hat

319

(1)

Exercises

320

(2)

Applications of the Sampling Distribution of p

322

(11)

Exercises

324

(9)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Estimation of the Mean and Proportion

333

(43)

Estimation: An Introduction

334

(1)

Point and Interval Estimates

335

(2)

A Point Estimate

335

(1)

An Interval Estimate

336

(1)

Interval Estimation of a Population Mean: Large Samples

337

(10)

Cost of Running a Household

342

(1)

Exercises

343

(4)

Interval Estimation of a Population Mean: Small Samples

347

(9)

The t Distribution

348

(2)

Confidence Interval for μ Using the t Distribution

350

(2)

Cardiac Demands of Heavy Snow Shoveling

352

(1)

Exercises

353

(3)

Interval Estimation of a Population Proportion: Large Samples

356

(5)

Exercises

358

(3)

Determining the Sample Size for the Estimation of Mean

361

(2)

Exercises

362

(1)

Determining the Sample Size for the Estimation of Proportion

363

(13)

Exercises

365

(11)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Hypothesis Tests About the Mean and Proportion

376

(53)

Hypothesis Tests: An Introduction

377

(9)

Two Hypotheses

377

(1)

Rejection and Nonrejection Regions

378

(1)

Two Types of Errors

379

(2)

Tails of a Test

381

(4)

Exercises

385

(1)

Hypothesis Tests About a Population Mean: Large Samples

386

(9)

Exercises

391

(4)

Hypothesis Tests Using the p-value Approach

395

(5)

Exercises

398

(2)

Hypothesis Tests About a Population Mean: Small Samples

400

(8)

Exercises

405

(3)

Hypothesis Tests About a Population Proportion: Large Samples

408

(21)

Older Workers Most Content

413

(2)

Exercises

415

(14)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Estimation and Hypothesis Testing: Two Populations

429

(58)

Inferences About the Difference Between Two Population Means for Large and Independent Samples

430

(10)

Independent Versus Dependent Samples

430

(1)

Mean, Standard Deviation, and Sampling Distribution of x1 - x2

431

(1)

Interval Estimation of μ1 - μ2

432

(2)

Hypothesis Testing About μ1 - μ2

434

(3)

Exercises

437

(3)

Inferences About the Difference Between Two Population Means for Small and Independent Samples: Equal Standard Deviations

440

(9)

Interval Estimation of μ1 - μ2

441

(2)

Hypothesis Testing About μ1 - μ2

443

(3)

Exercises

446

(3)

Inferences About the Difference Between Two Population Means for Small and Independent Samples: Unequal Standard Deviations

449

(6)

Interval Estimation of μ1 - μ2

450

(1)

Hypothesis Testing About μ1 - μ2

451

(2)

Exercises

453

(2)

Inferences About the Difference Between Two Population Means for Paired Samples

455

(10)

Interval Estimation of μd

457

(2)

Hypothesis Testing About μd

459

(4)

Exercises

463

(2)

Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

465

(22)

Mean, Standard Deviation, and Sampling Distribution of p1 - p2

465

(1)

Interval Estimation of p1 - p2

466

(1)

Hypothesis About p1 - p2

467

(4)

Worried About Paying the Bills

471

(2)

Exercises

473

(14)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Chi-Square Tests

487

(43)

The Chi-Square Distribution

488

(2)

Exercises

490

(1)

A Goodness-of-Fit Test

490

(10)

Office Order

496

(2)

Exercises

498

(2)

Contingency Tables

500

(1)

A Test of Independence or Homogeneity

501

(12)

A Test of Independence

501

(6)

A Test of Homogeneity

507

(3)

Exercises

510

(3)

Inferences About the Population Variance

513

(17)

Estimation of the Population Variance

514

(2)

Hypothesis Tests About the Population Variance

516

(3)

Exercises

519

(11)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Analysis of Variance

530

(24)

The F Distribution

531

(2)

Exercises

532

(1)

One-Way Analysis of Variance

533

(21)

Calculating the Value of the Test Statistic

535

(3)

One-Way Anova Test

538

(4)

Exercises

542

(12)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Simple Linear Regression

554

(64)

Simple Linear Regression Model

555

(2)

Simple Regression

555

(1)

Linear Regression

555

(2)

Simple Linear Regression Analysis

557

(16)

Scatter Diagram

559

(1)

Least Squares Line

560

(3)

Interpretation of a and b

563

(2)

Regression of Heights and Weights of NBA Players

565

(1)

Assumptions of the Regression Model

566

(2)

A Note on the Use of Simple Linear Regression

568

(1)

Exercises

568

(5)

Standard Deviation of Random Errors

573

(2)

Coefficient of Determination

575

(5)

Exercises

578

(2)

Inferences About B

580

(6)

Sampling Distribution of b

580

(1)

Estimation of B

581

(1)

Hypothesis Testing About B

582

(1)

Exercises

583

(3)

Linear Correlation

586

(7)

Linear Correlation Coefficient

586

(2)

Hypothesis Testing About the Linear Correlation Coefficient

588

(2)

Exercises

590

(3)

Regression Analysis: A Complete Example

593

(7)

Exercises

598

(2)

Using the Regression Model

600

(4)

Using the Regression Model for Estimating the Mean Value of y

600

(2)

Using the Regression Model for Predicting a Particular Value of y

602

(2)

Cautions in Using Regression

604

(14)

Exercises

605

(13)

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Nonparametric Methods

618

The Sign Test

619

(16)

Tests About Categorical Data

619

(5)

Tests About the Median of a Single Population

624

(3)

Tests About the Median Difference Between Paired Data

627

(4)

Exercises

631

(4)

The Wilcoxon Signed-Rank Test for Two Dependent Samples

635

(7)

Exercises

640

(2)

The Wilcoxon Rank Sum Test for Two Independent Samples

642

(7)

Exercises

647

(2)

The Kruskal-Wallis Test

649

(5)

Exercises

652

(2)

The Spearman Rho Rank Correlation Coefficient Test

654

(5)

Exercises

657

(2)

The Runs Test for Randomness

659

Exercises

663

Glossary

Key Formulas

Supplementary Exercises

Advanced Exercises

Self-Review Test

Mini-Projects

Computer Assignments

Appendix A SAMPLE SURVEYS, SAMPLING TECHNIQUES, AND DESIGN OF EXPERIMENTS

Available for download on the Web site at www.wiley.com/college/mann, and printed in the Student Solutions Manual and the Instructor Solutions Manual.

A.1 Sources of Data

1. Internal Sources

2. External Sources

3. Surveys and Experiments

I. Surveys

Case Study A-1 Is It a Simple Question?

II. Experiments

A.2 Sample Surveys and Sampling Techniques

A.2.1 Why Sample?

A.2.2 Random and Nonrandom Samples

A.2.3 Sampling and Nonsampling Errors

1. Sampling or Chance Error

2. Nonsampling or Systematic Errors

A.2.4 Random Sampling Techniques

1. Simple Random Sampling

2. Systematic Random Sampling

3. Stratified Random Sampling

4. Cluster Sampling

A.3 Design of Experiments

Case Study A-2 Scientists Probe Mystery of the Placebo Effect

Exercises

Glossary

Computer Assignments

Appendix B USING MINITAB

B.1 An Introduction

B.2 Organizing Data

B.3 Numerical Descriptive Measures

B11

B.4 The Binomial and Poisson Probability Distributions

B13

B.5 The Normal Probability Distribution

B18

B.6 Sampling Distributions

B20

B.7 Estimation of the Mean and Proportion

B21

B.8 Hypothesis Tests About the Mean and Proportion

B25

B.9 Estimation and Hypothesis Testing: Two Populations

B30

B.10 Chi-Square Tests

B39

B.11 Analysis of Variance

B42

B.12 Simple Linear Regression

B44

B.13 Nonparametric Methods

B49

B.14 Generating Random Numbers and Selecting a Sample

B57

Appendix C EXCEL ADVENTURES

C.1 An Introduction

C.2 Organizing Data

C.3 Numerical Descriptive Measures

C.4 Probability

C.5 Discrete Probability Distributions

C14

C.6 The Normal Distribution

C20

C.7 Sampling from a Population

C22

C.8 Confidence Interval

C25

C.9 Hypothesis Testing

C27

C.10 Inferences on Two Population Means

C29

C.11 Chi-Square Applications

C34

C.12 Analysis of Variance

C40

C.13 Regression Analysis

C43

C.14 The Spearman Rank Correlation Coefficient

C49

Appendix D STATISTICAL TABLES

I Random Numbers

II Factorials

III Values of (n x) (Combination)

IV Table of Binomial Probabilities

V Values of e-δ

D15

VI Table of Poisson Probabilities

D16

VII Standard Normal Distribution Table

D22

VIII The t Distribution Table

D23

IX Chi-Square Distribution Table

D25

X The F Distribution Table

D26

XI Critical Values of X for the Sign Test

D30

XII Critical Values of T for the Wilcoxon Signed-Rank Test

D31

XIII Critical Values of T for the Wilcoxon Rank Sum Test

D32

XIV Critical Values for the Spearman Rho Rank Correlation Coefficient Test

D33

XV Critical Values for a Two-Tailed Runs Test with α = .05

D34

Answers to Selected Odd-Numbered Exercises and Self-Review Tests

AN1

Answers to Odd-Numbered Graphing Calculator Exercises

AN20

Index

Amazon no longer offers textbook rentals. We do!

Introductory Statistics : Student Solutions Manual

Introductory Statistics : Student Solutions Manual

9780471373537

0471373532

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Introductory Statistics : Student Solutions Manual

Introductory Statistics : Student Solutions Manual

9780471373537

0471373532

Summary

Table of Contents

Supplemental Materials

Write a Review

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