Understanding Basic Statistics

by Brase, Charles Henry; Brase, Corrinne Pellillo

• ISBN13: 9780618004607
• ISBN10: 0618004602
• Edition: 1st
• Format: Paperback
• Copyright: 1999-06-07
• Publisher: Brooks Cole

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