Statistics and probability with applications 3e answers

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Third Edition ©2017New Edition Available

Statistics and Probability with Applications, Third Edition is the only introductory statistics text written by high school teachers for high school teachers and students. Daren Starnes, Josh Tabor, and the extended team of contributors bring their in-depth understanding of statistics an...

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The only on-level statistics textby high school teachersfor high school students

Statistics and Probability with Applications, Third Edition is the only introductory statistics text written by high school teachers for high school teachers and students. Daren Starnes, Josh Tabor, and the extended team of contributors bring their in-depth understanding of statistics and the challenges faced by high school students and teachers to development of the text and its accompanying suite of print and interactive resources for learning and instruction.

A complete re-envisioning of the authors’ Statistics Through Applications, this new text covers the core content for the course in a series of brief, manageable lessons, making it easy for students and teachers to stay on pace.  Throughout, new pedagogical tools and lively real-life examples help captivate students and prepare them to use statistics in college courses and in any career.

Organization
The ten chapters are divided into 71 easy-to-teach Lessons, making course management smoother and more intuitive.

Each Lesson includes 2-3 Learning Targets, with each Target supported 1:1 with a worked example and a set of practice exercises.

A Lesson App closes every lesson, bringing together the three lesson learning targets in a real-world setting.

Pedagogy
STATS applied! opens and closes each chapter by introducing students to the types of researchers explore in fields like biology, public health, etc.

212 Worked examples help students understand the problem-solving process. Each Worked Example includes "teacher talk" balloons highlighting important steps, plus an accompanying Example Video  more more guidance.

Try it Problems mirror each worked example provide immediate reinforcement or direct students back to the appropriate model example when they are doing homework assignments.

Exercises
Altogether, the practice sets in SPA include more than 1600 exercises in total.

Each Lesson ends with four helpful categories of paired exercises.

Chapter review exercises tie the lessons together. Each of these exercises has an accompanying solution video which reviews the problem step by step.

A comprehensive test concludes each chapter

Interactive Learning
High-interest activities built into each chapter let students explore concepts and techniques in class.

Tech Corners give brief directions about how to use TI-83/84 graphing calculators and the new statistical applets effectively.

New to This Edition

New Applets – developed by Bob Amar (The Lovett School) exclusively for the third edition, the new applets are easy to use for teachers and students to perform simulations and to generate statistical graphs and data so that the focus is on understanding instead of calculation.

Student Site --  the applets, Worked Example Videos,  Chapter Review
Exercise Videos,  and additional resources for students can be accessed through the student site on the catalog page

“Activities are critical to student learning of statistics.  The Applications are like gold.  If students can do the application, they have learned what they needed from that lesson.”  Luke Wilcox, East Kentwood High School, Kentwood, MI

“Teachers should try to build in inferential thinking whenever possible.  The book does a nice job of beginning the concept of inference early on so they should try to take advantage of that.  The more students can think about inference, the stronger their statistical thinking will become.”  Lindsey Gallas, East Kentwood High School, Kentwood, MI

“I love that one can cover an entire section in one class period. I like the spiral and review to begin class."  Vicki Greenberg, The Weber School, Atlanta, GA

Table of Contents

About the Authors
Acknowledgments
To the Student
Chapter 1 Analyzing One-Variable Data   
Lesson 1.1 Statistics: The Science and Art of Data   
Lesson 1.2 Displaying Categorical Data     
Lesson 1.3 Displaying Quantitative Data: Dotplots   
Lesson 1.4 Displaying Quantitative Data: Stemplots   
Lesson 1.5 Displaying Quantitative Data: Histograms   
Lesson 1.6 Measuring Center      
Lesson 1.7 Measuring Variability      
Lesson 1.8 Summarizing Quantitative Data: Boxplots and Outliers 
Chapter 2 Modeling One-Variable  Quantitative Data
Lesson 2.1  Describing Location in a Distribution    
Lesson 2.2 Transforming Data      
Lesson 2.3 Density Curves and the Normal Distribution   
Lesson 2.4 The Empirical Rule and Assessing Normality  
Lesson 2.5 Normal Distributions: Finding Areas from Values   
Lesson 2.6 Normal Distributions: Finding Values from Areas  
Chapter 3 Analyzing Two-Variable Data
Lesson 3.1 Relationships Between Two Categorical Variables
Lesson 3.2 Relationships Between Two Quantitative Variables
Lesson 3.3 Correlation
Lesson 3.4 More about Correlation
Lesson 3.5 Regression Lines
Lesson 3.6 The Least-Squares Regression Line
Lesson 3.7 Assessing a Regression Model
Chapter 4 Collecting Data
Lesson 4.1 Introduction to Data Collection
Lesson 4.2 Sampling: Good and Bad
Lesson 4.3 Sampling and Surveys
Lesson 4.4 Inference for Sampling
Lesson 4.5 Observational Studies and Experiments
Lesson 4.6 How to Experiment Well
Lesson 4.7 Inference for Experiments
Lesson 4.8 Using Studies Wisely
Chapter 5 Probability
Lesson 5.1 Randomness, Probability, and Simulation
Lesson 5.2 Basic Probability Rules
Lesson 5.3 Two-Way Tables and Venn Diagrams
Lesson 5.4 Conditional Probability and Independence
Lesson 5.5 The General Multiplication Rule and Tree Diagrams
Lesson 5.6 The Multiplication Rule for Independent Events
Lesson 5.7 The Multiplication Counting Principle and Permutations
Lesson 5.8 Combinations and Probability
Chapter 6 Random Variables
Lesson 6.1 Two Types of Random Variables
Lesson 6.2 Analyzing Discrete Random Variables
Lesson 6.3 Binomial Random Variables
Lesson 6.4 Analyzing Binomial Random Variables
Lesson 6.5 Normal Approximation to Binomial Distributions
Chapter 7 Sampling Distributions
Lesson 7.1 What Is a Sampling Distribution?
Lesson 7.2 Sampling Distributions: Center and Variability
Lesson 7.3  The Sampling Distribution of a Sample Proportion
Lesson 7.4 The Sampling Distribution of a Sample Mean
Lesson 7.5 The Central Limit Theorem
Chapter 8 Estimating a Parameter
Lesson 8.1 The Idea of a Confidence Interval
Lesson 8.2 What Affects the Margin of Error?
Lesson 8.3 Estimating a Proportion
Lesson 8.4 Confidence Intervals for a Proportion
Lesson 8.5 Estimating a Mean
Lesson 8.6 Confidence Intervals for a Mean
Chapter 9 Testing a Claim
Lesson 9.1 The Idea of a Significance Test
Lesson 9.2 Significance Tests and Decision Making
Lesson 9.3 Testing a Claim about a Proportion
Lesson 9.4 Significance Tests for a Proportion
Lesson 9.5 Testing a Claim about a Mean
Lesson 9.6 Significance Tests for a Mean
Chapter 10 Comparing Two Populations or Treatments
Lesson 10.1 Estimating a Difference Between Two Proportions
Lesson 10.2 Testing a Claim about a Difference Between Two Proportions
Lesson 10.3 Estimating a Difference Between Two Means
Lesson 10.4 Testing a Claim about a Difference Between Two Means
Lesson 10.5 Paired Data: Estimating a Mean Difference
Lesson 10.6 Paired Data: Testing a Claim about a Mean Difference
Chapter 11 Inference for Distributions and Relationships
Lesson 11.1 Testing the Distribution of a Categorical Variable
Lesson 11.2 Chi-Square Tests for Goodness of Fit
Lesson 11.3 Testing the Relationship Between Two Categorical Variables
Lesson 11.4 Chi-Square Tests for Association
Lesson 11.5 Estimating the Slope of a Least-Squares Regression Line
Lesson 11.6 Testing a Claim about the Slope of a Least-Squares Regression Line

Daren S. Starnes

Daren S. Starnes is Mathematics Department Chair and holds the Robert S. and Christina Seix Dow Distinguished Master Teacher Chair in Mathematics at The Lawrenceville School near Princeton, New Jersey. He earned his MA in Mathematics from the University of Michigan and his BS in Mathematics from the University of North Carolina at Charlotte. Daren is also an alumnus of the North Carolina School of Science and Mathematics. Daren has led numerous one-day and weeklong AP® Statistics institutes for new and experienced teachers, and he has been a Reader, Table Leader, and Question Leader for the AP® Statistics exam since 1998. Daren is a frequent speaker at local, state, regional, national, and international conferences. He has written articles for The Mathematics Teacher and CHANCE magazine. From 2004 to 2009, Daren served on the ASA/NCTM Joint Committee on the Curriculum in Statistics and Probability (which he chaired in 2009). While on the committee, he edited the Guidelines for Assessment and Instruction in Statistics Education (GAISE) pre-K–12 report and coauthored (with Roxy Peck) Making Sense of Statistical Studies, a capstone module in statistical thinking for high school students. Daren is also coauthor of the popular on-level text Statistics and Probability with Applications.

Josh Tabor

Josh Tabor has enjoyed teaching on-level and AP® Statistics to high school students for more than 23 years, most recently at his alma mater, Canyon del Oro High School in Oro Valley, Arizona. He received a BS in Mathematics from Biola University, in La Mirada, California. In recognition of his outstanding work as an educator, Josh was named one of the five finalists for Arizona Teacher of the Year in 2011. He is a past member of the AP® Statistics Development Committee (2005–2009) and has been a Reader, Table Leader, and Question Leader at the AP® Statistics Reading since 1999. In 2013, Josh was named to the SAT® Mathematics Development Committee. Each year, Josh leads one-week AP® Summer Institutes and College Board workshops around the world and frequently speaks at local, national, and international conferences. In addition to teaching and speaking, Josh has published articles in The American Statistician, The Mathematics Teacher, STATS Magazine, and The Journal of Statistics Education. He is the coauthor with Daren Starnes of two other popular statistics textbooks, The Practice of Statistics for the AP® Exam, Sixth Edition, and Statistics and Probability with Applications, Third Edition, for on-level statistics. Outside of work, Josh enjoys gardening, traveling, and playing board games with his family.

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Program Resources

Ch.3 Solutions

ExamView Testbank for Statistics and Probability with Applications (REVISED; High School)

Statistics and Probability with Applications, Third Edition is the only introductory statistics text written by high school teachers for high schoo...

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Lecture PowerPoint

Quizzes and Test Final

Quiz 3-2: Lessons 3.5-3.9

Quiz 3.1: Lessons 3.1-3.4

Review Exercise Videos

Teacher Resource Materials

Additional Ch.3 Resources

Federalist Papers Word List

Spinner Bases for Cookie Activity

Student Project and Rubric

Teacher Resources

Ch.3 Intro and Pacing Guide

Teacher's Edition Overview Video

Teacher's Edition for Statistics and Probability with Applications

•     Extensive advice on teaching each chapter
•     Alternate examples for every worked example in the stu...

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Teacher's Resource Flash Drive for Statistics and Probability with Applications

•     Word .docs of alternate examples
•     PowerPoint lecture presentations for each lesson
•  ...

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Worked Example Videos

Lesson 3.1 Asking Valid Statistical Questions

Lesson 3.1 Observational Studies and Experiments

Lesson 3.1 Populations and Samples

Lesson 3.2 Convenience Sample

Lesson 3.2 Random Samples

Lesson 3.2 Voluntary Response Samples

Lesson 3.3 Sampling Variability

Lesson 3.3 Selecting an SRS

Lesson 3.3 Testing a Claim

Lesson 3.4 Margin of Error for a Mean

Lesson 3.4 Margin of Error for a Mean

Lesson 3.4 Margin of Error for a Proportion

Lesson 3.6 Placebo Effect

Lesson 3.7 Other Sourses of Variability

Lesson 3.7 Random Assignment Methods

Lesson 3.7 The Purpose of Random Assignment

Lesson 3.8 Completely Randomized Designs

Lesson 3.8 Determining Statistical Significance

Lesson 3.8 Statistical Significance

Lesson 3.9 The Scope of Inference

Lesson 3.9 The Scope of Inference

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