Worksheets for Elementary Statistics

Worksheets for Elementary Statistics

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Ron Larson received his Ph.D. in mathematics from the University of Colorado in 1970. At that time he accepted a position with Penn State University, and he currently holds the rank of professor of mathematics at the university. Larson is the lead author of more than two dozen mathematics textbooks that range from 6th grade through calculus levels. Many of his texts, such as the 10th edition of his calculus text, are leaders in their markets. Larson is also one of the pioneers in the use of multimedia and the Internet to enhance the learning of mathematics. He has authored multimedia programs, extending from the elementary school through calculus levels. Larson is a member of several professional groups and is a frequent speaker at national and regional mathematics meetings.

Many thanks to Betsy Farber for her significant contributions to previous editions of the text. Sadly, Betsy passed away in 2013. She received her Bachelor’s degree in mathematics from Penn State University and her Master’s degree in mathematics from the College of New Jersey. Betsy taught all levels of mathematics at Bucks County Community College in Newtown, Pennsylvania for many years. She made many notable contributions throughout her career to developing new ways to make statistics relevant and interesting for both online and traditional students.

I. DESCRIPTIVE STATISTICS

  1. Introduction to Statistics
    • 1.1 An Overview of Statistics
    • 1.2 Data Classification
    • 1.3 Data Collection and Experimental Design
  2. Descriptive Statistics
    • 2.1 Frequency Distributions and Their Graphs
    • 2.2 More Graphs and Displays
    • 2.3 Measures of Central Tendency
    • 2.4 Measures of Variation
    • 2.5 Measures of Position

II. PROBABILITY AND PROBABILITY DISTRIBUTIONS

  1. Probability
    • 3.1 Basic Concepts of Probability and Counting
    • 3.2 Conditional Probability and the Multiplication Rule
    • 3.3 The Addition Rule
    • 3.4 Additional Topics in Probability and Counting
  2. Discrete Probability Distributions
    • 4.1 Probability Distributions
    • 4.2 Binomial Distributions
    • 4.3 More Discrete Probability Distributions
  3. Normal Probability Distributions
    • 5.1 Introduction to Normal Distributions and the Standard Normal Distribution
    • 5.2 Normal Distributions: Finding Probabilities
    • 5.3 Normal Distributions: Finding Values
    • 5.4 Sampling Distributions and the Central Limit Theorem
    • 5.5 Normal Approximations to Binomial Distributions

III. STATISTICAL INFERENCE

  1. Confidence Intervals
    • 6.1 Confidence Intervals for the Mean (S Known)
    • 6.2 Confidence Intervals for the Mean (S Unknown)
    • 6.3 Confidence Intervals for Population Proportions
    • 6.4 Confidence Intervals for Variance and Standard Deviation
  2. Hypothesis Testing with One Sample
    • 7.1 Introduction to Hypothesis Testing
    • 7.2 Hypothesis Testing for the Mean (S Known)
    • 7.3 Hypothesis Testing for the Mean (S Unknown)
    • 7.4 Hypothesis Testing for Proportions
    • 7.5 Hypothesis Testing for Variance and Standard Deviation
  3. Hypothesis Testing with Two Samples
    • 8.1 Testing the Difference Between Means (Independent Samples, S1 and S2 Known)
    • 8.2 Testing the Difference Between Means (Independent Samples, S1 and S2 Unknown)
    • 8.3 Testing the Difference Between Means (Dependent Samples)
    • 8.4 Testing the Difference Between Proportions

IV. MORE STATISTICAL INFERENCE

  1. Correlation and Regression
    • 9.1 Correlation
    • 9.2 Linear Regression
    • 9.3 Measures of Regression and Prediction Intervals
    • 9.4 Multiple Regression
  2. Chi-Square Tests and the F-Distribution
    • 10.1 Goodness-of-Fit Test
    • 10.2 Independence
    • 10.3 Comparing Two Variances
    • 10.4 Analysis of Variance
  3. Nonparametric Tests (Web Only)*
    • 11.1 The Sign Test
    • 11.2 The Wilcoxon Tests
    • 11.3 The Kruskal-Wallis Test
    • 11.4 Rank Correlation
    • 11.5 The Runs Test
  • * Available at www.pearson.com/math-stats-resources and in MyLab Statistics.

APPENDICES

  • A. Alternative Presentation of the Standard Normal Distribution
  • B. Tables
  • C. Normal Probability Plots

Features and pedagogy that support guided student learning 

  • NEW AND REVISED! Exercises — Over 40% of the more than 2,300 exercises are new or revised.
  • NEW! Tech Tips — Technology tips now appear in most sections. These tips show how to use Minitab, Excel, the TI-84 Plus, and StatCrunch to solve a problem.
  • A variety of review and assessment features conclude each chapter, including a Chapter Summary, Review Exercises, Quiz, and Test. Students also have access to four Cumulative Reviews throughout the text.
  • Page Layout — Statistics instruction is more accessible when it is carefully formatted on each page with a consistent, open layout. This text is the first college-level statistics book to be written so that, when possible, its features are not split from one page to the next, resulting in a cleaner and clearer presentation.

Real-life examples, exercises, and projects that help students picture the world using statistics

  • NEW AND REVISED! About 60% of the chapter features and examples are new or revised to maintain currency and student engagement. These include:
    • Chapter Case Studies – Each chapter has a Case Study featuring actual data from a real-world context and questions that illustrate the important concepts of the chapter.
    • Real Statistics – Real Decisions: Putting It All Together â€” This feature encourages students to think critically and make informed decisions about real-world data. Exercises guide students from interpretation to drawing of conclusions.
    • Chapter Technology Projects — Each chapter has a Technology project using Minitab, Excel, and the TI-84 Plus that gives students insight into how technology is used to handle large data sets or real-life questions.
  • The variety of real-life applications are representative of the majors of students taking introductory statistics courses. Applications are both authentic and accessible, so that statistics comes alive and appears relevant to students. View the text’s Index of Applications for a complete list.

Check out the preface for a complete list of features and what’s new in this edition.

Also available with MyLab Statistics

MyLabâ„¢ Statistics is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Statistics personalizes the learning experience and improves results for each student. With MyLab Statistics and StatCrunch, an integrated web-based statistical software program, students learn the skills they need to interact with data in the real world. Learn more about MyLab Statistics.

Reach every student with MyLab Statistics

  • Deliver trusted content: You deserve teaching materials that meet your own high standards for your course. That’s why we partner with highly respected authors to develop interactive content and course-specific resources that you can trust–and that keep your students engaged.
    • StatCrunch is a powerful web-based statistical software that allows users to perform complex analyses, share data sets, and generate compelling reports of their data. The vibrant online community offers tens of thousands of shared data sets for students to analyze, in addition to all of the data sets in the text or online homework. StatCrunch is integrated directly into MyLab Statistics.
    • NEW! StatCrunch Question Library: This library of questions provides opportunities for students to analyze and interpret data sets in StatCrunch. Instructors can assign individual questions from the library by topic or they can assign questions from the same data set as a longer assignment that spans multiple learning objectives.
  • Empower each learner: Each student learns at a different pace. Personalized learning pinpoints the precise areas where each student needs practice, giving all students the support they need–when and where they need it–to be successful.
    • Learning Catalytics: Now included in all MyLab Statistics courses, this student response tool uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking during lecture. Learning Catalyticsâ„¢ fosters student engagement and peer-to-peer learning with real-time analytics. Access pre-built exercises created specifically for statistics.
  • Teach your course your way: Your course is unique. So whether you’d like to build your own assignments, teach multiple sections, or set prerequisites, MyLab gives you the flexibility to easily create your course to fit your needs.
    • NEW! An Integrated Review version of the MyLab Statistics course provides pre-made, assignable skill-review quizzes and personalized homework assignments that are integrated throughout the regular statistics course content. It can be used in co-requisite courses, or simply to help students who enter Introductory Statistics without a full understanding of prerequisite skills and concepts.
    • Getting Ready for Statistics Questions: This question library contains more than 450 exercises that cover the relevant review topics for a given section. These can be made available to students for extra practice or assigned as a prerequisite to other assignments.
  • Improve student results: When you teach with MyLab, student performance often improves. That’s why instructors have chosen MyLab for over 15 years, touching the lives of over 50 million students. 

Features and pedagogy that support guided student learning 

  • Exercises — Over 40% of the more than 2,300 exercises are new or revised.
  • Tech Tips — Technology tips now appear in most sections. These tips show how to use Minitab, Excel, the TI-84 Plus, and StatCrunch to solve a problem.

Real-life examples, exercises, and projects that help students picture the world using statistics

  • About 60% of the chapter features and examples are new or revised to maintain currency and student engagement. These include:
    • Chapter Case Studies — Each chapter has a Case Study featuring actual data from a real-world context and questions that illustrate the important concepts of the chapter.
    • Real Statistics — Real Decisions: Putting It All Together This feature encourages students to think critically and make informed decisions about real-world data. Exercises guide students from interpretation to drawing of conclusions.
    • Chapter Technology Projects — Each chapter has a Technology project using Minitab, Excel, and the TI-84 Plus that gives students insight into how technology is used to handle large data sets or real-life questions.

Check out the preface for a complete list of features and what’s new in this edition.


Reach every student with MyLab Statistics

  • An Integrated Review version of the MyLab Statistics course provides pre-made, assignable skill-review quizzes and personalized homework assignments that are integrated throughout the regular statistics course content. It can be used in co-requisite courses, or simply to help students who enter Introductory Statistics without a full understanding of prerequisite skills and concepts.
  • StatCrunch Question Library: This library of questions provides opportunities for students to analyze and interpret data sets in StatCrunch. Instructors can assign individual questions from the library by topic or they can assign questions from the same data set as a longer assignment that spans multiple learning objectives.

Additional information

Dimensions 0.50 × 8.60 × 11.05 in
Imprint

Format

ISBN-13

ISBN-10

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Subjects

statistics, mathematics, higher education, Introductory Statistics