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Statistics, Global Edition

Statistics, Global Edition

James T. McClave | Terry T Sincich

(2017)

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Book Details

Abstract

For courses in introductory statistics.

A Contemporary Classic

Classic, yet contemporary; theoretical, yet applied—McClave & Sincich’s Statistics gives you the best of both worlds. This text offers a trusted, comprehensive introduction to statistics that emphasizes inference and integrates real data throughout. The authors stress the development of statistical thinking, the assessment of credibility, and value of the inferences made from data. This new edition is extensively revised with an eye on clearer, more concise language throughout the text and in the exercises.

Ideal for one- or two-semester courses in introductory statistics, this text assumes a mathematical background of basic algebra. Flexibility is built in for instructors who teach a more advanced course, with optional footnotes about calculus and the underlying theory.

Pearson MyLab Statistics not included. Students, if Pearson MyLab Statistics is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. Pearson MyLab Statistics should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.


Pearson MyLab Statistics is an online homework, tutorial, and assessment product designed to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.


Table of Contents

Section Title Page Action Price
Front Cover Front Cover
Applet Correlation IFC-1
Title Page 5
Copyright Page 6
Contents 7
Preface 13
Applications Index 21
Chapter 1 Statistics, Data, and Statistical Thinking 29
1.1 The Science of Statistics 30
1.2 Types of Statistical Applications 31
1.3 Fundamental Elements of Statistics 33
1.4 Types of Data 37
1.5 Collecting Data: Sampling and Related Issues 39
1.6 The Role of Statistics in Critical Thinking and Ethics 44
Statistics in Action: Social Media Network Usage—Are You Linked In? 30
Using Technology: MINITAB: Accessing and Listing Data 53
Chapter 2 Methods for Describing Sets of Data 57
2.1 Describing Qualitative Data 59
2.2 Graphical Methods for Describing Quantitative Data 70
2.3 Numerical Measures of Central Tendency 82
2.4 Numerical Measures of Variability 93
2.5 Using the Mean and Standard Deviation to Describe Data 99
2.6 Numerical Measures of Relative Standing 107
2.7 Methods for Detecting Outliers: Box Plots and z-Scores 111
2.8 Graphing Bivariate Relationships (Optional) 121
2.9 Distorting the Truth with Descriptive Statistics 126
Statistics in Action: Body Image Dissatisfaction: Real or Imagined? 58
Using Technology: MINITAB: Describing Data 142
TI-83/TI–84 Plus Graphing Calculator: Describing Data 142
Chapter 3 Probability 145
3.1 Events, Sample Spaces, and Probability 147
3.2 Unions and Intersections 160
3.3 Complementary Events 163
3.4 The Additive Rule and Mutually Exclusive Events 165
3.5 Conditional Probability 172
3.6 The Multiplicative Rule and Independent Events 175
3.7 Some Additional Counting Rules (Optional) 187
Bayes’s Rule (Optional) 197
Statistics in Action: Lotto Buster! Can You Improve Your Chance of Winning? 146
Using Technology: TI-83/TI-84 Plus Graphing Calculator: Combinations and Permutations 211
Chapter 4 Discrete Random Variables 212
4.1 Two Types of Random Variables 214
4.2 Probability Distributions for Discrete Random Variables 217
4.3 Expected Values of Discrete Random Variables 224
4.4 The Binomial Random Variable 229
4.5 The Poisson Random Variable (Optional) 242
4.6 The Hypergeometric Random Variable (Optional) 247
Statistics in Action: Probability in a Reverse Cocaine Sting: Was Cocaine Really Sold? 213
Using Technology: MINITAB: Discrete probabilities 257
TI-83/TI-84 Plus Graphing Calculator: Discrete Random Variables and Probabilities 257
Chapter 5 Continuous Random Variables 260
5.1 Continuous Probability Distributions 262
5.2 The Uniform Distribution 263
5.3 The Normal Distribution 267
5.4 Descriptive Methods for Assessing Normality 281
5.5 Approximating a Binomial Distribution with a Normal Distribution (Optional) 290
5.6 The Exponential Distribution (Optional) 295
Statistics in Action: Super Weapons Development—Is the Hit Ratio Optimized? 261
Using Technology: MINITAB: Continuous Random Variable Probabilities and Normal Probability Plots 307
TI–83/TI–84 Plus Graphing Calculator: Normal Random Variable and Normal Probability Plots 308
Chapter 6 Sampling Distributions 310
6.1 The Concept of a Sampling Distribution 312
6.2 Properties of Sampling Distributions: Unbiasedness and Minimum Variance 319
6.3 The Sampling Distribution of x and the Central Limit Theorem 323
6.4 The Sampling Distribution of the Sample Proportion 332
Statistics in Action: The Insomnia Pill: Is It Effective? 311
Using Technology: MINITAB: Simulating a Sampling Distribution 341
Chapter 7 Inferences Based on a Single Sample: Estimation with Confidence Intervals 342
7.1 Identifying and Estimating the Target Parameter 343
7.2 Confidence Interval for a Population Mean: Normal (z) Statistic 345
7.3 Confidence Interval for a Population Mean: Student’s t-Statistic 355
7.4 Large-Sample Confidence Interval for a Population Proportion 365
7.5 Determining the Sample Size 372
7.6 Confidence Interval for a Population Variance (Optional) 379
Statistics in Action: Medicare Fraud Investigations 343
Using Technology: MINITAB: Confidence Intervals 392
TI-83/TI-84 Plus Graphing Calculator: Confidence Intervals 394
Chapter 8 Inferences Based on a Single Sample: Tests of Hypothesis 396
8.1 The Elements of a Test of Hypothesis 397
8.2 Formulating Hypotheses and Setting Up the Rejection Region 403
8.3 Observed Significance Levels:p-Values 408
8.4 Test of Hypothesis about a Population Mean: Normal (z) Statistic 413
8.5 Test of Hypothesis about a Population Mean: Student’s t-Statistic 421
8.6 Large-Sample Test of Hypothesis about a Population Proportion 428
8.7 Calculating Type II Error Probabilities: More about β (Optional) 436
8.8 Test of Hypothesis about a Population Variance (Optional) 445
Statistics in Action: Diary of a KLEENEX® User—How Many Tissues in a Box? 397
Using Technology: MINITAB: Tests of Hypotheses 458
TI-83/TI-84 Plus Graphing Calculator: Tests of Hypotheses 459
Chapter 9 Inferences Based on Two Samples: Confidence Intervals and Tests of Hypotheses 461
9.1 Identifying the Target Parameter 462
9.2 Comparing Two Population Means: Independent Sampling 463
9.3 Comparing Two Population Means: Paired Difference Experiments 481
9.4 Comparing Two Population Proportions: Independent Sampling 493
9.5 Determining the Sample Size 501
9.6 Comparing Two Population Variances: Independent Sampling (Optional) 506
Statistics in Action: ZixIt Corp. v. Visa USA Inc.—A Libel Case 462
Using Technology: MINITAB: Two-Sample Inferences 525
TI-83/TI-84 Plus Graphing Calculator: Two Sample Inferences 526
Chapter 10 Analysis of Variance: Comparing More than Two Means 530
10.1 Elements of a Designed Study 532
10.2 The Completely Randomized Design: Single Factor 539
10.3 Multiple Comparisons of Means 556
10.4 The Randomized Block Design 564
10.5 Factorial Experiments: Two Factors 582
Statistics in Action: Voice versus Face Recognition—Does One Follow the Other? 531
Using Technology: MINITAB: Analysis of Variance 610
TI–83/TI–84 Plus Graphing Calculator: Analysis of Variance 611
Chapter 11 Simple Linear Regression 612
11.1 Probabilistic Models 614
11.2 Fitting the Model: The Least Squares Approach 618
11.3 Model Assumptions 631
11.4 Assessing the Utility of the Model: Making Inferences about the Slope β1 636
11.5 The Coefficients of Correlation and Determination 645
11.6 Using the Model for Estimation and Prediction 655
11.7 A Complete Example 664
Statistics in Action: Can “Dowsers” Really Detect Water? 613
Using Technology: MINITAB: Simple Linear Regression 678
TI-83/TI-84 Plus Graphing Calculator: Simple Linear Regression 679
Chapter 12 Multiple Regression and Model Building 681
12.1 Multiple-Regression Models 683
PART I: First-Order Models with Quantitative Independent Variables 685
12.2 Estimating and Making Inferences about the β Parameters 685
12.3 Evaluating Overall Model Utility 692
12.4 Using the Model for Estimation and Prediction 703
PART II: Model Building in Multiple Regression 709
12.5 Interaction Models 709
12.6 Quadratic and Other Higher Order Models 716
12.7 Qualitative (Dummy) Variable Models 726
12.8 Models with Both Quantitative and Qualitative Variables (Optional) 734
12.9 Comparing Nested Models (Optional) 744
12.10 Stepwise Regression (Optional) 754
PART III: Multiple Regression Diagnostics 760
12.11 Residual Analysis: Checking the Regression Assumptions 760
12.12 Some Pitfalls: Estimability, Multicollinearity, and Extrapolation 774
Statistics in Action: Modeling Condominium Sales: What Factors Affect Auction Price? 682
Using Technology: MINITAB: Multiple Regression 796
TI-83/TI-84 Plus Graphing Calculator: Multiple Regression 797
Chapter 13 Categorical Data Analysis 799
13.1 Categorical Data and the Multinomial Experiment 801
13.2 Testing Categorical Probabilities: One-Way Table 802
13.3 Testing Categorical Probabilities: Two-Way (Contingency) Table 810
13.4 A Word of Caution about Chi-Square Tests 825
Statistics in Action: The Case of the Ghoulish Transplant Tissue 800
Using Technology: MINITAB: Chi-Square Analyses 835
TI-83/TI-84 Plus Graphing Calculator: Chi-Square Analyses 836
Appendix A: Summation Notation 837
Appendix B: Tables 839
Table I Binomial Probabilities 839
Table II Normal Curve Areas 839
Table III Critical Values of t 839
Table IV Critical Values of x2 839
Table V Percentage Points of the F-Distribution, α = .10 839
Table VI Percentage Points of the F-Distribution, α = .05 839
Table VII Percentage Points of the F-Distribution, α = .025 839
Table VIII Percentage Points of the F-Distribution, α = .01 839
Table IX Critical Values of TL and TU for the Wilcoxon Rank Sum Test: Independent Samples 839
Table X Critical Values of T0 in the Wilcoxon Paired Difference Signed Rank Test 839
Table XI Critical Values of Spearman’s Rank Correlation Coefficient 839
Table XII Critical Values of the Studentized Range, α = .05 839
Table XIII Critical Values of the Studentized Range, α = .01 839
Appendix C: Calculation Formulas for Analysis of Variance 861
Short Answers to Selected Odd-Numbered Exercises 866
Index 878
Credits 884
Making Connections Using Data 896
Back Cover Back Cover