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Brief Introduction to Probability and Statistics

by: Mendenhall, William; Beaver, Robert J.; Beaver, Barbara M.

Brief Introduction to Probability and Statistics

by: Mendenhall, William; Beaver, Robert J.; Beaver, Barbara M.

ISBN 13:
9780534387778
ISBN 10:
0534387772
Format: Hardcover
Copyright: 09/07/2001
Publisher: Cengage Learning

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Summary

This brief version of the authors' classic text retains the traditional outline for the coverage of descriptive and inferential statistics. The user-friendly presentation includes features such as Key Concepts and Formulas, and helps students grasp the material while not sacrificing the statistical integrity of the subject. MINITAB'„¢ (Versions 12 and 13) is used exclusively as the computer package for statistical analysis in this text.

Introduction: An Invitation to Statistics

(2)

The Population and the Sample

(1)

Descriptive and Inferential Statistics

(1)

Achieving the Objective of Inferential Statistics: The Necessary Steps

(3)

Describing Data with Graphs

(40)

Variables and Data

(2)

Types of Variables

(1)

Graphs for Categorical Data

(7)

Graphs for Quantitative Data

(7)

Relative Frequency Histograms

(22)

Introduction to Minitab

(11)

How Is Your Blood Pressure?

(2)

Describing Data with Numerical Measures

(46)

Describing a Set of Data with Numerical Measures

(1)

Measures of Center

(7)

Measures of Variability

(7)

On the Practical Significance of the Standard Deviation

(4)

A Check on the Calculation of s

(6)

Measures of Relative Standing

(5)

The Box Plot

(16)

Numerical Descriptive Measures

(7)

The Boys of Summer

(2)

Describing Bivariate Data

(25)

Bivariate Data

(1)

Graphs for Qualitative Variables

(4)

Scatterplots for Two Quantitative Variables

(2)

Numerical Measures for Quantitative Bivariate Data

100

(18)

Describing Bivariate Data

108

(8)

Do You Think Your Dishes Are Really Clean?

116

(2)

Probability and Probability Distributions

118

(61)

The Role of Probability in Statistics

119

(1)

Events and the Sample Space

119

(4)

Calculating Probabilities Using Simple Events

123

(7)

Useful Counting Rules (Optional)

130

(8)

Event Composition and Event Relations

138

(3)

Conditional Probability and Independence

141

(11)

Bayes' Rule (Optional)

152

(6)

Discrete Random Variables and Their Probability Distributions

158

(21)

Discrete Probability Distributions

169

(8)

Probability and Decision Making in the Congo

177

(2)

Several Useful Discrete Distributions

179

(35)

Introduction

180

(1)

The Binomial Probability Distribution

180

(13)

The Poisson Probability Distribution

193

(6)

The Hypergeometric Probability Distribution

199

(15)

Binomial and Poisson Probabilities

203

(9)

A Mystery: Cancers Near a Reactor

212

(2)

The Normal Probability Distribution

214

(30)

Probability Distributions for Continuous Random Variables

215

(2)

The Normal Probability Distribution

217

(1)

Tabulated Areas of the Normal Probability Distribution

218

(10)

The Normal Approximation to the Binomial Probability Distribution (Optional)

228

(16)

Normal Probabilities

236

(6)

The Long and the Short of It

242

(2)

Sampling Distributions

244

(42)

Introduction

245

(1)

Sampling Plans and Experimental Designs

245

(5)

Statistics and Sampling Distributions

250

(3)

The Central Limit Theorem

253

(3)

The Sampling Distribution of the Sample Mean

256

(7)

The Sampling Distribution of the Sample Proportion

263

(5)

A Sampling Application: Statistical Process Control (Optional)

268

(18)

The Central Limit Theorem at Work

276

(8)

Sampling the Roulette at Monte Carlo

284

(2)

Large-Sample Estimation

286

(50)

Where We've Been

287

(1)

Where We're Going---Statistical Inference

287

(2)

Types of Estimators

289

(1)

Point Estimation

289

(9)

Interval Estimation

298

(10)

Estimating the Difference Between Two Population Means

308

(6)

Estimating the Difference Between Two Binomial Proportions

314

(5)

One-Sided Confidence Bounds

319

(1)

Choosing the Sample Size

320

(16)

How Reliable Is That Poll?

334

(2)

Large-Sample Tests of Hypotheses

336

(46)

Testing Hypotheses about Population Parameters

337

(1)

A Statistical Test of Hypothesis

337

(4)

A Large-Sample Test about a Population Mean

341

(13)

A Large-Sample Test of Hypothesis for the Difference between Two Population Means

354

(7)

A Large-Sample Test of Hypothesis for a Binomial Proportion

361

(5)

A Large-Sample Test of Hypothesis for the Difference between Two Binomial Proportions

366

(6)

Some Comments on Testing Hypotheses

372

(10)

An Aspirin a Day...?

379

(3)

Inference from Small Samples

382

(69)

Introduction

383

(1)

Student's t Distribution

383

(4)

Small-Sample Inferences Concerning a Population Mean

387

(8)

Small-Sample Inferences for the Difference between Two Population Means: Independent Random Samples

395

(11)

Small-Sample Inferences for the Difference between Two Means: A Paired-Difference Test

406

(10)

Inferences Concerning a Population Variance

416

(8)

Comparing Two Population Variances

424

(8)

Revisiting the Small-Sample Assumptions

432

(19)

Small-Sample Testing and Estimation

434

(15)

How Would You Like a Four-Day Work Week?

449

(2)

The Analysis of Variance

451

(33)

The Design of an Experiment

452

(1)

What Is an Analysis of Variance?

453

(1)

The Assumptions for an Analysis of Variance

454

(1)

The Completely Randomized Design: A One-Way Classification

454

(1)

The Analysis of Variance for a Completely Randomized Design

455

(13)

Ranking Population Means

468

(4)

Revisiting the Analysis of Variance Assumptions

472

(5)

A Brief Summary

477

(7)

Analysis of Variance Procedures

478

(4)

``Are You at Risk?''

482

(2)

Linear Regression and Correlation

484

(49)

Introduction

485

(1)

A Simple Linear Probabilistic Model

485

(3)

The Method of Least Squares

488

(3)

An Analysis of Variance for Linear Regression

491

(4)

Testing the Usefulness of the Linear Regression Model

495

(8)

Estimation and Prediction Using the Fitted Line

503

(7)

Revisiting the Regression Assumptions

510

(5)

Correlation Analysis

515

(18)

Linear Regression Procedures

522

(8)

Is Your Car ``Made in the U.S.A.''?

530

(3)

Analysis of Categorical Data

533

(36)

A Description of the Experiment

534

(1)

Pearson's Chi-Square Statistic

535

(1)

Testing Specified Cell Probabilities: The Goodness-of-Fit Test

536

(5)

Contingency Tables: A Two-Way Classification

541

(7)

Comparing Several Multinomial Populations: A Two-Way Classification with Fixed Row or Column Totals

548

(6)

The Equivalence of Statistical Tests

554

(1)

Other Applications of the Chi-Square Test

555

(14)

The Chi-Square Test

557

(10)

Can a Marketing Approach Improve Library Services?

567

(2)

Appendix I Tables

569

(27)

Table 1 Cumulative Binomial Probabilities

569

(7)

Table 2 Cumulative Poisson Probabilities

576

(2)

Table 3 Normal Curve Areas

578

(1)

Table 4 Critical Values of t

579

(1)

Table 5 Critical Values of Chi-Square

580

(2)

Table 6 Percentage Points of the F Distribution

582

(8)

Table 7 Random Numbers

590

(2)

Table 8 Percentage Points of the Studentized Range, q(k, df)

592

(4)

Answers to Selected Exercises

596

(19)

Index

615

Amazon no longer offers textbook rentals. We do!

Brief Introduction to Probability and Statistics

Brief Introduction to Probability and Statistics

9780534387778

0534387772

Summary

Table of Contents

Supplemental Materials

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