First Course in Statistics, A

by ;
Edition: 8th
Format: Hardcover w/CD
Pub. Date: 2003-01-01
Publisher(s): PRENTICE HALL
List Price: $119.84

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Summary

For courses in Statistics. This introduction to statistics presents balanced coverage of both the theory and application of statistics and at the same time helps students develop and enhance their critical thinking skills. It shows students how to analyze data that appear in situations in the world around them and features an abundance of examples and exercisesnearly all based on current, real-world applications pulled from journals, magazines, news articles, and commerce.

Table of Contents

Preface vii
Statistics, Data, and Statistical Thinking
1(18)
The Science of Statistics
2(1)
Types of Statistical Applications
2(2)
Fundamental Elements of Statistics
4(5)
Types of Data
9(1)
Collecting Data
10(3)
The Role of Statistics in Critical Thinking
13(6)
Quick Review
14(1)
Statistics In Action A ``20/20'' View of Survey Results: Fact or Fiction?
15(4)
Methods for Describing Sets of Data
19(88)
Describing Qualitative Data
20(9)
Graphical Methods for Describing Quantitative Data
29(13)
Summation Notation
42(2)
Numerical Measures of Central Tendency
44(11)
Numerical Measures of Variability
55(6)
Interpreting the Standard Deviation
61(9)
Numerical Measures of Relative Standing
70(5)
Methods for Detecting Outliers (Optional)
75(11)
Graphing Bivariate Relationships (Optional)
86(5)
Distorting the Truth with Descriptive Techniques
91(16)
Statistics in Action The ``Eye Cue'' Test: Does Experience Improve Performance?
95(1)
Quick Review
96(11)
Probability
107(56)
Events, Sample Spaces, and Probability
108(12)
Unions and Intersections
120(3)
Complementary Events
123(3)
The Additive Rule and Mutually Exclusive Events
126(5)
Conditional Probability
131(8)
The Multiplicative Rule and Independent Events
139(24)
Random Sampling
149(5)
Statistics in Action Game Show Strategy: To Switch or Not to Switch?
154(1)
Quick Review
155(8)
Random Variables and Probability Distributions
163(74)
Two Types of Random Variables
164(3)
Probability Distributions for Discrete Random Variables
167(10)
The Binomial Distribution
177(13)
Probability Distributions for Continuous Random Variables
190(1)
The Normal Distribution
190(13)
Descriptive Methods for Assessing Normality
203(7)
Approximating a Binomial Distribution with a Normal Distribution (Optional)
210(6)
Sampling Distributions
216(6)
The Central Limit Theorem
222(15)
Quick Review
230(1)
Statistics in Action The Insomnia Pill
231(6)
Inferences Based on a Single Sample: Estimation with Confidence Intervals
237(40)
Large-Sample Confidence Interval for a Population Mean
238(9)
Small-Sample Confidence Interval for a Population Mean
247(11)
Large-Sample Confidence Interval for a Population Proportion
258(7)
Determining the Sample Size
265(12)
Statistics in Action Scallops, Sampling, and the Law
269(2)
Quick Review
271(6)
Inferences Based on a Single Sample: Tests of Hypothesis
277(44)
The Elements of a Test of Hypothesis
278(6)
Large-Sample Test of Hypothesis About a Population Mean
284(6)
Observed Significance Levels: p-Values
290(7)
Small-Sample Test of Hypothesis About a Population Mean
297(6)
Large-Sample Test of Hypothesis About a Population Proportion
303(6)
A Nonparametric Test About a Population Median (Optional)
309(12)
Quick Review
315(1)
Statistics in Action March Madness: Handicapping the NCAA Basketball Tourney
315(6)
Comparing Population Means
321(76)
Comparing Two Population Means: Independent Sampling
322(17)
Comparing Two Population Means: Paired Difference Experiments
339(13)
Determining the Sample Size
352(3)
A Nonparametric Test for Comparing Two Populations: Independent Sampling (Optional)
355(8)
A Nonparametric Test for Comparing Two Populations: Paired Difference Experiments (Optional)
363(8)
Comparing Three or More Population Means: Analysis of Variance (Optional)
371(26)
Statistics in Action On the Trail of the Cockroach
386(2)
Quick Review
388(9)
Comparing Population Proportions
397(42)
Comparing Two Population Proportions: Independent Sampling
398(7)
Determining the Sample Size
405(2)
Comparing Population Proportions: Multinomial Experiment
407(8)
Contingency Table Analysis
415(24)
Statistics in Action The Level of Agreement Among Movie Reviewers: Thumbs Up or Thumbs Down?
431(1)
Quick Review
431(8)
Simple Linear Regression
439(74)
Probabilistic Models
440(4)
Fitting the Model: The Least Squares Approach
444(15)
Model Assumptions
459(1)
An Estimator of σ2
460(3)
Assessing the Utility of the Model: Making Inferences About the Slope β1
463(8)
The Coefficient of Correlation
471(3)
The Coefficient of Determination
474(7)
Using the Model for Estimation and Prediction
481(9)
A Complete Example
490(4)
A Nonparametric Test for Correlation (Optional)
494(19)
Statistics in Action Can ``Dowsers'' Really Detect Water?
502(3)
Quick Review
505(8)
Appendix A: Tables 513(24)
Table I Random Numbers
515(3)
Table II Binomial Probabilities
518(4)
Table III Normal Curve Areas
522(1)
Table IV Critical Values of t
523(1)
Table V Critical Values of TL and TU for the Wilcoxon Rank Sum Test: Independent Samples
524(1)
Table VI Critical Values of T0 in the Wilcoxon Paired Difference Signed Ranks Test
525(1)
Table VII Percentage Points of the F-Distribution, α = .10
526(2)
Table VIII Percentage Points of the F-Distribution, α = .05
528(2)
Table IX Percentage Points of the F-Distribution, α = .025
530(2)
Table X Percentage Points of the F-Distribution, α = .01
532(2)
Table XI Critical Values of χ2
534(2)
Table XII Critical Values of Spearman's Rank Correlation Coefficient
536(1)
Appendix B: Data Sets on CD-ROM That Accompanies This Text 537(4)
Appendix C: Calculation Formulas for Analysis of Variance (Independent Sampling) 541(2)
Answers to Selected Exercises 543(8)
Index 551

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