Understanding Basic Statistics

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Edition: 1st
Format: Paperback
Pub. Date: 1999-06-07
Publisher(s): Brooks Cole
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Table of Contents

Table of Prerequisite Material
x
Preface xi
A User's Guide to Features xvi
Organizing Data
1(75)
Populations, Samples, and Data
1(14)
Random Samples
15(8)
Graphs
23(10)
Histograms and Frequency Distributions
33(18)
Stem-and-Leaf Displays
51(25)
Summary
58(1)
Important Words and Symbols
58(1)
Chapter Review Problems
59(6)
Data Highlights
65(4)
Linking Concepts
69(1)
Using Technology
70(6)
Averages and Variation
76(51)
Measures of Central Tendency: Mode, Median, and Mean
76(11)
Measures of Variation
87(16)
Percentiles and Box-and-Whisker Plots
103(24)
Summary
115(1)
Important Words and Symbols
115(1)
Chapter Review Problems
116(2)
Data Highlights
118(2)
Linking Concepts
120(2)
Using Technology
122(5)
Regression and Correlation
127(43)
Introduction to Paired Data and Scatter Diagrams
128(7)
Linear Regression
135(13)
The Linear Correlation Coefficient
148(22)
Summary
161(1)
Important Words and Symbols
162(1)
Chapter Review Problems
162(2)
Data Highlights
164(1)
Linking Concepts
164(1)
Using Technology
165(5)
Elementary Probability Theory
170(50)
What Is Probability?
170(11)
Some Probability Rules---Compound Events
181(18)
Trees and Counting Techniques
199(21)
Summary
210(1)
Important Words and Symbols
211(1)
Chapter Review Problems
211(2)
Data Highlights
213(2)
Linking Concepts
215(1)
Using Technology
216(4)
The Binomial Probability Distribution
220(43)
Introduction to Random Variables and Probability Distributions
220(12)
Binomial Probabilities
232(12)
The Mean and Standard Deviation of the Binomial Distribution
244(19)
Summary
251(1)
Important Words and Symbols
252(1)
Chapter Review Problems
252(3)
Data Highlights
255(1)
Linking Concepts
256(2)
Using Technology
258(5)
Normal Distributions
263(63)
Graphs of Normal Probability Distributions
263(18)
Standard Units and Areas Under the Standard Normal Distribution
281(18)
Areas Under Any Normal Curve
299(8)
Normal Approximation to the Binomial Distribution
307(19)
Summary
316(1)
Important Words and Symbols
316(1)
Chapter Review Problems
317(3)
Data Highlights
320(1)
Linking Concepts
321(2)
Using Technology
323(3)
Introduction to Sampling Distributions
326(28)
Sampling Distributions
327(6)
The Central Limit Theorem
333(10)
Class Project Illustrating the Central Limit Theorem
343(11)
Summary
345(1)
Important Words and Symbols
346(1)
Chapter Review Problems
346(1)
Data Highlights
347(2)
Linking Concepts
349(2)
Using Technology
351(3)
Introduction to Estimation
354(50)
Estimating &mgr; with Large Samples
354(12)
Estimating &mgr; with Small Samples
366(9)
Estimating p in the Binomial Distribution
375(7)
Choosing the Sample Size
382(22)
Summary
390(1)
Important Words and Symbols
390(1)
Chapter Review Problems
390(3)
Data Highlights
393(2)
Linking Concepts
395(3)
Using Technology
398(6)
Hypothesis Testing Involving One Population
404(65)
Introduction to Hypothesis Testing
404(8)
Tests Involving the Mean &mgr; (Large Samples)
412(15)
The P Value in Hypothesis Testing
427(12)
Tests Involving the Mean &mgr; (Small Samples)
439(13)
Tests Involving a Proportion
452(17)
Summary
460(1)
Important Words and Symbols
461(1)
Chapter Review Problems
461(2)
Data Highlights
463(1)
Linking Concepts
464(1)
Using Technology
465(4)
Inferences About Differences
469(53)
Tests Involving Paired Differences (Dependent Samples)
469(14)
Inferences About the Difference of Two Means (Large, Independent Samples)
483(14)
Inferences About the Difference of Two Proportions
497(25)
Summary
511(1)
Important Words and Symbols
511(1)
Chapter Review Problems
511(4)
Data Highlights
515(2)
Linking Concepts
517(1)
Using Technology
518(4)
Additional Topics Using Inference
522(1)
Part I: Hypothesis Tests Using the Chi-Square Distribution
522(1)
Chi Square: Tests of Independence
522(14)
Chi Square: Goodness of Fit
536(8)
Testing the Variance σ2
544(6)
Part II: Inferences Relating to Linear Regression
550(1)
Linear Regression: Confidence Intervals for Predictions
550(12)
Testing the Correlation Coefficient ρ
562(5)
Summary
567(1)
Important Words and Symbols
568(1)
Chapter Review Problems
568(3)
Data Highlights
571(1)
Linking Concepts
572(1)
Using Technology
572
Appendix I Tables A1
Table 1 Random Numbers
A1
Table 2 Factorials
A2
Table 3 Binomial Coefficients Cn,r
A2
Table 4 Binomial Distribution Cn,rprqn-r
A3
Table 5 Areas of a Standard Normal Distribution
A7
Table 6 Student's t Distribution
A8
Table 7 The X2 Distribution
A9
Table 8 Critical Values of Pearson Product-Moment Correlation Coefficient, r
A10
Appendix II Data Sets A11
Answers with Key Steps to Odd-Numbered Problems A20
Index A56

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