Even You Can Learn Statistics: A Guide for Everyone Who Has Ever Been Afraid of Statistics

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One easy step of a time, this book will teach you the key statistical techniques you'll need for finance, quality, marketing, the social sciences, or just about any other field. Each technique is introduced with a simple, jorgon-free explanation, practical examples, and hands-on guidance for solving real problems with Excel or a TI-83/84 series calculator, including Plus models. Hate math? No sweat. You'll be amazed how little you need! For those who do have an interest in mathematics, optional "Equation Blackhoard" sections review the equations that provide the foundations for important concepts.
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Product Details

  • ISBN-13: 9780131467576
  • Publisher: FT Press
  • Publication date: 9/16/2004
  • Edition description: with complimentarty website
  • Pages: 281
  • Product dimensions: 7.00 (w) x 9.18 (h) x 0.65 (d)

Meet the Author

David M. Levine, a much-honored innovator in statistics education, is Professor Emeritus of Statistics and Computer Information Systems at Baruch College (CUNY). His bestselling books include Statistics for Managers Using Microsoft Excel, Basic Business Statistics, Business Statistics: A First Course, Statistics for Six Sigma Green Belts with Minitab and JMP, Six Sigma for Green Belts and Champions, and Design for Six Sigma for Green Belts and Champions.

David F. Stephan is an independent instructional technologist. As a computer information systems instructor at Baruch College (CUNY), he pioneered the use of computers in classrooms, devised interdisciplinary multimedia tools, and created techniques for teaching computer applications in a business context. The developer of PHStat2, the Pearson Education statistics add-in system for Microsoft Excel, he has coauthored several books with David M. Levine.

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Read an Excerpt


The Even You Can Learn Statistics Owners Manual

In today's world, knowing how to apply statistics is more important than ever. Even You Can Learn Statistics: The Easy to Use Guide for Everyone Who Has Ever Been Afraid of Statistics will teach you the basic concepts that provide that understanding. You will also learn the most commonly used statistical methods and be able to practice those methods using a statistical calculator or a spreadsheet program. Please read the rest of this introduction

so that you can become familiar with the distinctive features of this book. Be sure to visit the Web site for this book (www.prenticehall.com/youcanlearnstatistics), which contains free downloads and other material to support your learning.

Mathematics Is Always Optional!

Never mastered higher mathematics—or generally fearful of math? Not to worry, because in Even You Can Learn Statistics, you will find that every concept is explained in plain English, without the use of higher mathematics or mathematical symbols. Interested in the mathematical foundations behind statistics? Even You Can Learn Statistics includes EQUATION BLACKBOARDS, standalone sections that present the equations behind statistical methods and complement the main material. Either way, you can learn statistics.

Learning with the Concept-Interpretation Approach

Even You Can Learn Statistics uses a Concept-Interpretation approach to help you learn statistics. For each important statistical concept, you will first find a

CONCEPT, a plain-language definition that uses no complicated mathematical terms, followed by an INTERPRETATION that fully explains the concept and its importance to statistics. When necessary, these sections also review the misconceptions and the errors people make when trying to apply the concept.

For simpler concepts, an EXAMPLES section lists real-life examples or applications of the statistical concepts. For more advanced concepts, WORKED-OUT PROBLEMS provide a complete solution to a statistical problem—including actual spreadsheet and calculator results—that illustrate how you can apply the concept to your own problems.

Practicing Statistics While You Learn Statistics

To enhance your learning of statistics, you should always review the WORKED-OUT PROBLEMS. If you want to practice what you have just learned, you can use the optional CALCULATOR KEYS and SPREADSHEET SOLUTION sections, which help you apply a statistical calculator or spreadsheet program to statistical analyses.

CALCULATOR KEYS sections give you the keystroke-by-keystroke steps to perform statistical analysis on a Texas Instruments statistical calculator from the TI-83 or TI-84 families, including TI-83 Plus and TI-84 Plus models. (You can adapt many sections for use with other TI statistical calculators—such as any model from the TI-86, TI-89, or Voyage 200 families—that have different keypads and arrangements of statistical functions.)

SPREADSHEET SOLUTION sections provide instructions for using the statistical capabilities of Microsoft Excel and identify files that you can download from the Even You Can Learn Statistics Web site that contain complete spreadsheets that you can use as models for your own problem solving.

If you plan to use either of these sections, review Appendix A for the conventions, software settings, and assumptions used for these sections.

In-Chapter Aids

As you read a chapter, look for Important Point icons that highlight key explanations. Download the data files from the Web site for this book (www.prenticehall.com/youcanlearnstatistics) so that you may examine the data under study in the Worked-out Problems. Even if you do not plan to use a calculator or a spreadsheet, look at the actual examples of their outputs to become familiar with how statistical results are reported.

Interested in Math? Then look for this icon throughout the book. And if you are not interested in math, remember that all of the passages with this icon can be skipped without losing any comprehension of the statistical methods presented.

End-of-Chapter Features

At the end of most chapters of Even You Can Learn Statistics, you will find these features that you can review to reinforce your learning.

Important Equations

A list of the important equations discussed in the chapter. Even if you are not interested in the mathematics of the statistical methods and have skipped the EQUATION BLACKBOARDS in the book, you can use these lists for reference and later study.

One-Minute Summary

A quick review of the significant topics of a chapter in outline form. When appropriate, the summaries also help guide you to make the right decisions about applying statistics to the data you seek to analyze.

Test Yourself

Explore how much you have retained with a set of questions that enable you to review and test yourself (with answers provided) on the concepts presented in a chapter.


Even You Can Learn Statistics can help you whether you are studying statistics as part of a formal course or just brushing up on your knowledge of statistics for a specific analysis. Be sure to visit the Web site for this book (www.prenticehall.com/youcanlearnstatistics). You are also invited to contact the authors via e-mail at david_levine@baruch.cuny.edu if you have any questions about this book.

© Copyright Pearson Education. All rights reserved.

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Table of Contents

Introduction xvii
Chapter 1 Fundamentals of Statistics 1
1.1 The Five Basic Words of Statistics 2
Population 2
Sample 2
Parameter 2
Statistic 3
Variable 3
1.2 The Branches of Statistics 4
Descriptive Statistics 4
Inferential Statistics 5
1.3 Sources of Data 5
Published Sources 5
Experiments 6
Surveys 6
1.4 Sampling Concepts 7
Sampling 7
Probability Sampling 7
Simple Random Sampling 7
Frame 8
1.5 Sample Selection Methods 8
Sampling With Replacement 8
Sampling Without Replacement 8
One-Minute Summary 10
Test Yourself 11
Answers to Test Yourself Questions 14
References 14
Chapter 2 Presenting Data in Charts and Tables 17
2.1 Presenting Categorical Data 17
The Summary Table 17
The Bar Chart 18
The Pie Chart 19
The Pareto Diagram 20
Two-Way Cross-Classification Tables 22
2.2 Presenting Numerical Data 24
The Frequency and Percentage Distribution 24
Histogram 25
The Dot Scale Diagram 27
The Time-Series Plot 28
The Scatter Plot 28
2.3 Misusing Graphs 30
One-Minute Summary 32
Test Yourself 32
Answers to Test Yourself Questions 35
References 36
Chapter 3 Descriptive Statistics for Numerical Variables 37
3.1 Measures of Central Tendency 37
The Mean 37
The Median 40
The Mode 41
Quartiles 41
3.2 Measures of Variation 45
The Range 45
The Variance and the Standard Deviation 46
Standard (Z) Scores 49
3.3 Shape of Distributions 50
Symmetrical Shape 50
Left-Skewed Shape 50
Right-Skewed Shape 51
The Box-and-Whisker Plot 52
Important Equations 56
One-Minute Summary 56
Test Yourself 57
Answers to Test Yourself Questions 59
References 60
Chapter 4 Probability 61
4.1 Getting Started with Probability 61
Event 61
Elementary Event 62
Random Variable 62
Probability 62
Collectively Exhaustive Events 64
4.2 Some Rules of Probability 64
4.3 Assigning Probabilities 67
Classical Approach 67
Empirical Approach 67
Subjective Approach 68
One-Minute Summary 68
Test Yourself 68
Answers to Test Yourself Questions 70
References 70
Chapter 5 Probability Distributions 73
5.1 Probability Distributions for Discrete Variables 73
Discrete Probability Distribution 73
The Expected Value of a Random Variable 75
Standard Deviation of a Random Variable ([sigma]) 76
5.2 The Binomial and Poisson Probability Distributions 79
The Binomial Distribution 79
The Poisson Distribution 83
5.3 Continuous Probability Distributions and the Normal Distribution 87
Normal Distribution 87
Using Standard Deviation Units 89
Finding the Z Value from the Area Under the Normal Curve 91
5.4 The Normal Probability Plot 94
Important Equations 96
One-Minute Summary 96
Test Yourself 97
Answers to Test Yourself Questions 101
References 102
Chapter 6 Sampling Distributions and Confidence Intervals 103
6.1 Sampling Distributions 104
Sampling Distribution 104
Sampling Distribution of the Mean and the Central Limit Theorem 104
Sampling Distribution of the Proportion 107
What You Need to Know About Sampling Distributions 107
6.2 Sampling Error and Confidence Intervals 107
Sampling Error 109
Confidence Interval Estimate 109
6.3 Confidence Interval Estimate for the Mean Using the t Distribution ([sigma] Unknown) 111
t Distribution 112
6.4 Confidence Interval Estimation for the Proportion 116
Important Equations 119
One-Minute Summary 119
Test Yourself 119
Answers to Test Yourself Questions 122
References 122
Chapter 7 Fundamentals of Hypothesis Testing 125
7.1 The Null and Alternative Hypotheses 125
Null Hypothesis 126
Alternative Hypothesis 126
7.2 Hypothesis Testing Issues 127
Test Statistic 127
Practical Significance Versus Statistical Significance 128
7.3 Decision-Making Risks 129
Type I Error 129
Type II Error 129
Risk Trade-Off 130
7.4 Performing Hypothesis Testing 130
The p-Value Approach to Hypothesis Testing 131
p-Value 131
7.5 Types of Hypothesis Tests 132
Number of Groups 132
Relationship Stated in Alternative Hypothesis H[subscript 1] 132
Type of Variable 132
One-Minute Summary 133
Test Yourself 133
Answers to Test Yourself Questions 135
References 135
Chapter 8 Hypothesis Testing: Z and t Tests 137
8.1 Testing for the Difference Between Two Proportions 137
8.2 Testing for the Difference Between the Means of Two Independent Groups 143
Pooled-Variance t Test 143
Pooled-Variance t Test Assumptions 148
8.3 The Paired t Test 150
Important Equations 155
One-Minute Summary 156
Test Yourself 156
Answers to Test Yourself Questions 157
References 158
Chapter 9 Hypothesis Testing: Chi-Square Tests and the One-Way Analysis of Variance (ANOVA) 159
9.1 Chi-Square Test for Two-Way Tables 159
9.2 One-Way Analysis of Variance (ANOVA): Testing for the Differences Among the Means of More Than Two Groups 166
One-Way ANOVA 166
The Three Variances of ANOVA 168
ANOVA Summary Table 170
One-Way ANOVA Assumptions 174
Important Equations 174
One-Minute Summary 175
Test Yourself 175
Answers to Test Yourself Questions 178
References 178
Chapter 10 Regression Analysis 181
10.1 Basics of Regression Analysis 182
Simple Linear Regression 182
10.2 Determining the Simple Linear Regression Equation 183
Y intercept 183
Slope 183
Least-Squares Method 184
Regression Model Prediction 187
10.3 Measures of Variation 191
Regression Sum of Squares (SSR) 191
Error Sum of Squares (SSE) 191
Total Sum of Squares (SST) 192
The Coefficient of Determination 193
The Coefficient of Correlation 194
Standard Error of the Estimate 194
10.4 Regression Assumptions 195
10.5 Residual Analysis 196
Residual 196
Evaluating the Assumptions 197
10.6 Inferences About the Slope 197
t Test for the Slope 198
Confidence Interval Estimate of the Slope ([beta subscript 1]) 200
10.7 Common Mistakes Using Regression Analysis 201
Important Equations 203
One-Minute Summary 205
Test Yourself 205
Answers to Test Yourself Questions 207
References 208
Chapter 11 Quality and Six Sigma Management Applications of Statistics 209
11.1 Total Quality Management 209
11.2 Six Sigma Management 211
Six Sigma 211
The Six Sigma DMAIC Model 211
11.3 Control Charts 212
Special or Assignable Causes of Variation 212
Chance or Common Causes of Variation 213
Control Limits 213
The p Chart 214
11.4 The Parable of the Red Bead Experiment: Understanding Process Variability 219
Deming's Red Bead Experiment 220
11.5 Variables Control Charts for the Mean and Range 221
Important Equations 226
One-Minute Summary 227
Test Yourself 227
Answers to Test Yourself Questions 229
References 230
Appendix A TI Statistical Calculator Settings and Microsoft Excel Settings 231
A.1 TI Statistical Calculator Settings 231
"Ready State" Assumptions 231
Menu Selections 231
Statistical Function Entries by Menus 232
Primary Key Legend Convention 232
Mode Settings 232
Calculator Clearing and Reset 232
Data Storage 232
A.2 Microsoft Excel Settings 233
Appendix B Review of Arithmetic and Algebra 235
Assessment Quiz 235
Part 1 235
Part 2 236
Symbols 238
Addition 238
Subtraction 239
Multiplication 239
Division 240
Fractions 241
Exponents and Square Roots 242
Equations 243
Answers to Quiz 244
Part 1 244
Part 2 244
Appendix C Statistical Tables 245
C.1 The Cumulative Standardized Normal Distribution 246
C.2 Critical Values of t 248
C.3 Critical Values of X[superscript 2] 252
C.4 Critical Values of F 254
C.5 Control Chart Factors 262
Appendix D Using Microsoft Excel Wizards 263
D.1 Using the Chart Wizard 263
Choosing the Best Chart Options 264
D.2 Using the PivotTable Wizard 265
D.3 Using the Data Analysis Tools 267
D.4 Simple Linear Regression 267
Glossary 269
Index 277
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