9780071412780

5 Steps to a 5 AP Statistics

by
  • ISBN13:

    9780071412780

  • ISBN10:

    0071412786

  • Edition: 1st
  • Format: Paperback
  • Copyright: 12/22/2003
  • Publisher: McGraw-Hill
  • View Upgraded Edition

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Summary

For the more than one million students taking the AP exams each year Boxed quotes offering advice from students who have aced the exams and from AP teachers and college professors Sample tests that closely simulate real exams Review material based on the contents of the most recent tests Icons highlighting important facts, vocabulary, and frequently asked questions Websites and links to valuable online test resources, along with author e-mail addresses for students with follow-up questions Authors who are either AP course instructors or exam developers

Author Biography

Duane C. Hinders, Ed.D. teaches statistics at Foothill College, in Los Altos Hills, CA. He has also presented extensively on AP statistics and published several articles on mathematics.

Table of Contents

Preface xi
Acknowledgments xiii
PART I HOW TO USE THIS BOOK
1(12)
The Five-Step Program
3(10)
How Is this Book Organized?
3(1)
Introduction to the Five-Step Program
3(1)
Graphics Used in this Book
4(1)
Three Approaches to Preparing for the Ap Statistics Exam
5(2)
Calendar for Each Plan
7(6)
PART II WHAT YOU NEED TO KNOW ABOUT THE AP STATISTICS EXAM
13(32)
Introduction to the Ap Statistics Exam
15(30)
Background on the Ap Statistics Exam
15(3)
What Is Covered in the Ap Statistics Exam?
15(1)
What Is the Format of the Ap Statistics Exam?
16(1)
What Are the Advanced Placement Exam Grades?
16(1)
How Is the Ap Statistics Grade Calculated?
17(1)
What Is the Graphing Calculator Policy for the Ap Statistics Exam?
18(1)
What Do I Need to Bring to the Exam?
18(1)
Tips for Taking the Exam
18(2)
Getting Started
20(1)
Diagnostic Test
21(11)
Answers and Solutions
32(11)
Scoring and Interpretation
43(2)
PART III COMPREHENSIVE REVIEW
45(262)
Overview of Statistics/Basic Vocabulary
47(7)
What Is Statistics?
47(1)
Quantitative versus Qualitative Data
47(1)
Discrete and Continuous Data
48(1)
Descriptive Statistics versus Inferential Statistics
48(1)
Parameters versus Statistics
49(1)
Collecting Data: Surveys, Experiments, Observational Studies
49(1)
Random Variables
50(1)
Rapid Review
51(3)
Univariate Data Analysis
54(34)
Graphical Analysis
54(7)
Shape
54(1)
Dotplot
55(1)
Stemplot (Stem and Leaf Plot)
56(1)
Histogram
57(4)
Measures of Center
61(3)
Mean
61(1)
Median
62(1)
Resistant
63(1)
Measures of Spread
64(3)
Variance and Standard Deviation
64(1)
Interquartile Range
65(1)
Outliers
66(1)
Position of a Term in a Distribution
67(3)
5-Number Summary
67(1)
Boxplots (Outliers Revisited)
68(1)
Percentile Rank of a Term
69(1)
z Scores
69(1)
Normal Distribution
70(5)
Empirical Rule
71(1)
Standard Normal Distribution
71(4)
Rapid Review
75(1)
Practice Problems
76(5)
Cumulative Review Problems
81(1)
Solutions to Practice Problems
82(5)
Solutions to Cumulative Review Problems
87(1)
Bivariate Data Analysis
88(30)
Scatterplots
88(2)
Correlation
90(4)
Correlation and Causation
93(1)
Lines of Best Fit
94(4)
Least-Squares Regression Line
94(4)
Residuals
98(2)
Coefficient of Determination
100(1)
Outliers and Influential Observers
101(1)
Transformations to Achieve Linearity
102(3)
Rapid Review
105(1)
Practice Problems
106(6)
Cumulative Review Problems
112(1)
Solutions to Practice Problems
113(4)
Solutions to Cumulative Review Problems
117(1)
Design of a Study: Sampling, Surveys, and Experiments
118(24)
Samples
118(3)
Census
118(1)
Probability Sample
119(2)
Sampling Bias
121(2)
Undercoverage
121(1)
Voluntary Response Bias
121(1)
Wording Bias
122(1)
Response Bias
122(1)
Experiments and Observational Studies
123(6)
Statistical Significance
123(2)
Completely Randomized Design
125(1)
Double-Blind Experiments
126(1)
Randomization
126(1)
Block Design
127(1)
Matched Pairs Design
128(1)
Rapid Review
129(1)
Practice Problems
130(6)
Cumulative Review Problems
136(1)
Solutions to Practice Problems
136(5)
Solutions to Cumulative Review Problems
141(1)
Random Variables and Probability
142(32)
Probability
142(5)
Sample Spaces and Events
143(1)
Probabilities of Combined Events
144(1)
Mutually Exclusive Events
145(1)
Conditional Probability
145(1)
Independent Events
146(1)
Independent Events
146(1)
Probability of A and/or B
147(5)
Random Variables
148(1)
Discrete Random Variables
148(1)
Continuous Random Variables
148(1)
Probability Distribution of a Random Variable
149(1)
Probability Histogram
150(1)
Density Curve
151(1)
Normal Probabilities
152(3)
Simulation and Random Number Generation
155(3)
Transforming and Combining Random Variables
158(1)
Rules for the Mean and Standard Deviation of Combined Random Variables
158(1)
Rapid Reveiw
159(1)
Practice Problems
160(5)
Cumulative Review Problems
165(1)
Solutions to Practice Problems
166(7)
Solutions to Cumulative Review Problems
173(1)
Binomial distribution and Sampling Distributions
174(26)
Binomial Distribution
174(7)
Normal Approximation to the Binomial
177(2)
Geometric Distribution
179(2)
Sampling Distributions
181(4)
Sampling Distribution of a Sample Mean
181(1)
Central Limit Theorem
182(3)
Sampling Distribution of a Sample Proportion
185(1)
Rapid Review
186(1)
Practice Problems
187(5)
Cumulative Review Problems
192(1)
Solutions to Practice Problems
193(5)
Solutions to Cumulative Review Problems
198(2)
Confidence Intervals and Introduction to Inference
200(33)
Estimation and Confidence Intervals
200(4)
t Procedures
201(2)
General Form of a Confidence Interval
203(1)
Confidence Intervals for Means and Proportions
204(5)
Sample Size
209(2)
Sample Size for Estimating a Population Mean (Large Sample)
209(1)
Sample Size for Estimating a Population Proportion
210(1)
Statistical Significance and P Value
211(2)
Statistical Significance
211(1)
P Value
212(1)
The Hypothesis-Testing Procedure
213(2)
Type-I and Type-II Errors and the Power of a Test
215(3)
Rapid Review
218(2)
Practice Problems
220(5)
Cumulative Review Problems
225(1)
Solutions to Practice Problems
226(5)
Solutions to Cumulative Review Problems
231(2)
Inference for Means and Proportions
233(31)
Significance Testing
233(3)
Large Sample versus Small Sample
235(1)
Using Confidence Intervals for Two-Sided Alternatives
236(1)
Inference for a Single Population Mean
236(3)
Inference for the Difference Between Two Population Means
239(3)
Inference for a Single Population Proportion
242(3)
Inference for the Difference Between Two Population Proportions
245(1)
Rapid Review
246(3)
Practice Problems
249(5)
Cumulative Review Problems
254(1)
Solutions to Practice Problems
255(7)
Solutions to Cumulative Review Problems
262(2)
Inference for Regression
264(22)
Simple Linear Regression
264(2)
Inference for the Slope of a Regression Line
266(3)
Significance Test for the Slope of a Regression Line
266(2)
Confidence Interval for the Slope of a Regression Line
268(1)
Inference for Regression Using Technology
269(3)
Rapid Review
272(2)
Practice Problems
274(4)
Cumulative Review Problems
278(1)
Solutions to Practice Problems
279(5)
Solutions to Cumulative Review Problems
284(2)
Inference for Categorical Data: Chi-square
286(21)
Chi-square Goodness-of-Fit Test
286(4)
Inference for Two-Way Tables
290(6)
Two-Way Tables (Contigency Tables) Defined
290(1)
Chi-square Test for Independence
291(3)
Chi-square Test for Homogeneity of Proportions
294(2)
χ2 vs. z2
296(1)
Rapid Review
296(1)
Practice Problems
297(4)
Cumulative Review Problems
301(1)
Solutions to Practice Problems
302(3)
Solutions to Cumulative Review Problems
305(2)
PART IV PRACTICE EXAMS
307(2)
Practice Exam 1
309(30)
Answer Sheet for Section I
309(2)
Section I
311(13)
Section II
324(15)
General Instructions
324(4)
Answers to Practice Exam 1, Section I
328(1)
Solutions to Practice Exam 1, Section I
328(5)
Solutions to Practice Exam 1, Section II, Part A
333(3)
Solutions to Practice Exam 1, Section II, Part B
336(1)
Scoring Sheet for Practice Exam 1
337(2)
Practice Exam 2
339(30)
Answer Sheet for Section I
339(2)
Section I
341(13)
Section II
354(15)
General Instructions
354(4)
Answers to Practice Exam 2, Section I
358(1)
Solutions to Practice Exam 2, Section I
358(5)
Solutions to Practice Exam 2, Section II, Part A
363(3)
Solutions to Practice Exam 2, Section II, Part B
366(2)
Scoring Sheet for Practice Exam 2
368(1)
PART V APPENDIXES
369(2)
Appendix A Formulas
371(3)
Appendix B Tables
374(5)
Appendix C Bibliography
379(1)
Appendix D Websites
380(1)
Appendix E Glossary
381

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