UPDATED Version of The Practice of Statistics, Sixth Edition (9781319269296) | Macmillan Learning (2024)

ISBN:9781319269296

ISBN:9781319538798

ISBN:9781319283636

ISBN:9781319283094

Features

Examples with paired “Try “Problems – At the heart of the TPS approach are the 175 worked examples, which are mapped to parallel exercises in the Section Exercises, to offer students both practice and support. A backward/forwards navigation system ensures that students who start by trying to work exercises and only then go back to read the text content will land at the right spot and will get the guided help they need. Each Example presents a detailed response in a “student font” to model a complete and well written solution.

Over 1600 Problems for Practice – Each of the 12 chapters is organized into 2-3 sections with 4-7 Learning Targets in each. Integrated throughout the text are Check Your Understanding exercises that offer “on the spot” practice for concepts and skills just learned. Each Section ends with comprehensive Section Exercises, including short answer, Multiple Choice, and “review and recycle” problems, that ensures that key ideas learned earlier in the presentation are revisited as appropriate. Every Chapter concludes with a through Chapter Review and summary, including a review table that identifies related examples and exercises for each Learning Target, a focused set of Chapter Review Exercises, and a Chapter AP® Statistics Practice Test with M/C and FRQ questions.

Additional help is offered through the 350 worked Example and Exercise Videos, identified by the play button, that feature an experienced AP® Statistics walking step-by-step through each one to offer additional help and support when students need it most. The can be accessed by clicking on the link in the student e-Book or viewed at the open access Student Site.

Integrated AP® Support – Our authors know from experience that success on the AP® Exam comes from practicing every day- not just during a last minute review session. In addition to strict adherence to the language, nomenclature, formulas and style of the new 2019-2020 AP® Exam, many special features are incorporated:

• AP® Exam Tips appear throughout the text to provide in situ hints and guidance on how to study and prepare for the exam and avoid common mistakes.
• Each Section ends with a comprehensive Section exercise set, including “review and recycle” problems that ensures that key ideas learned earlier in the presentation are revisited as appropriate. Every Chapter concludes with a through Chapter Review and summary, including a review table that identifies related examples and exercises for each Learning Target, a focused set of Chapter Review Exercises, and a Chapter AP® Statistics Practice Test.
• In addition, each chapter features a FRAPPY (Free Response AP® Problem, Yay!) activity that prepares students to answer the challenging FRQs, that comprise 50% of the score on the AP Exam.
• Four Cumulative AP® Practice Tests are interspersed at logical breaks in the text and build in level of complexity culminating in a complete model exam to help prepare students for success on the 2019-2020 AP® Statistics Exam.

Technology Corners – provide detailed instructions, with screen captures, for creating graphs and performing the most important statistical analyses on the TI-84 graphing calculator. TI-Nspire instructions are available on the Student Site and in the digital platform. In addition, a comprehensive set of Applets, available free to users, supports simulation and hands-on learning and are referenced at appropriate points in the text.

New to This Edition

From Daren and Josh:
In "Classic" 6e (and 4e/5e), inference chapters are organized by the type of inference: confidence intervals for single samples (Chapter 8), significance tests for single samples (Chapter 9), and significance tests and confidence intervals for two samples (Chapter 10). In "Updated" 6e, inference chapters are organized by type of data, to match the CED: inference for proportions (Chapters 8–9) and inference for means (Chapters 10–11). In both books, chi-square tests and inference for slope wrap up the chapters on inference.
—

A number of important structural changes were made in the UPDATED sixth edition to ensure tight alignment with the AP® Statistics Course and Exam Description, including:

• Transforming to achieve linearity moved from Section 12.2 to Section 3.3 in UPDATED TPS 6e, so Chapter 3 now aligns with College Board’s Unit 2: Exploring Two-Variable Data in the Course Framework.
• Sampling distribution of a difference in proportions moved from Section 10.1 to Section 7.2 in UPDATED TPS 6e; sampling distribution of a difference in means moved from Section 10.2 to Section 7.3 in UPDATED TPS 6e.
• Inference completely reorganized to match Course Framework units:

The 4-step “State-Plan-Do-Conclude” process that is primarily intended to help students answer inference questions on the AP® exam, is now only developed only in the inference chapters (8-12) of the Updated TPS6e. Further, a streamlined two-step process for Normal distribution and Binomial distribution calculations has been introduced in the UPDATED sixth edition to match recent AP® rubrics.

Here are specific content changes made in the UPDATED sixth edition based on the AP® Statistics Course Framework.

Chapter 1

• Added mosaic plots.
• Added margin note discussing mean ± 2 or 3 SD criterion for outliers.
• Emphasized terminology:
  - discrete vs. continuous quantitative variables
  - descriptive statistics vs. inferential statistics
  - statistic vs. parameter
  - unimodal (single-peaked), bimodal (double-peaked), approximately uniform
  - variance vs. standard deviation

Chapter 2

• Changed definition of percentile to less than or equal to, with equivalent changes to cumulative relative frequency graphs.
• Emphasized terminology:
  - empirical rule (68-95-99.7 rule)

Chapter 3

• Removed the term “outlier” in Section 3.1, as it has a more restrictive meaning in the course framework. Replaced with “unusual value.”
• Changed the equation of the least-squares regression line to .
• Introduced term “high-leverage point” as one whose x value is far from . Also, restricted the use of “outlier” to points with big residuals. Both high-leverage points and outliers can be influential points.
• Emphasized terminology:
  - univariate vs. bivariate data

Chapter 4

• Added systematic random sampling.
• Emphasized terminology:
  - hom*ogeneous vs. heterogeneous
  - prospective vs. retrospective observational studies

Chapter 5

• Changed “chance process” to “random process”.
• Emphasized terminology:
  - trial
  - empirical vs. theoretical probability
  - disjoint (mutually exclusive)
  - joint probability

Chapter 6

• Expanded discussion of 10% condition and independent observations.
• Increased coverage of geometric random variables to include shape, center (mean), and variability (SD) of the probability distribution.
• Emphasized terminology:
  - probability distribution vs. population distribution; parameter
  - cumulative probability distribution
  - linear transformation vs. linear combination

Chapter 7

• Increased emphasis on the 10% condition, including idea that the traditional formulas for and overestimate the actual SD when sampling without replacement (but the difference is negligible when the 10% condition is met).
• Emphasized terminology:
  - point estimator
  - randomization distribution
  - independent observations vs. independent samples

Chapters 8–11

• For each inference procedure, the conditions are introduced by stating that we need to check for independence in data collection methods (Random condition, 10% condition when sampling without replacement) and that the sampling distribution is approximately Normal (Large Counts, Normal/Large Sample).

Chapter 8

• Emphasized that a confidence interval is an interval estimate of plausible values for a parameter based on sample data.
• Emphasized that a confidence level represents the long-run capture rate when conditions are met.
• Modified generic formula for a confidence interval to use “standard error” rather than “standard deviation” to align with the new formula sheet.
• Emphasized that a confidence interval for a proportion can be used to create other intervals (e.g., for the total number of successes in a population).

Chapter 9

• Modified generic formula for a standardized test statistic to include standard deviation (error) of statistic in the denominator to align with the new formula sheet.
• Emphasized that the P-value is the probability of getting evidence for Ha as strong or stronger than the observed evidence when H0 is true, assuming the probability model is valid (conditions are met).
• Adjusted the decision rule for rejecting H0 to P-value ≤ α instead of P-value < α.
• For a two-sample z test of H0: p1 – p2 = 0, the Large Counts condition now uses expected counts calculated with the pooled (combined) proportion instead of observed counts.

Chapters 10 and 11

• Encouraged use of df from technology for two-sample t procedures.
• Placed paired data procedures immediately after two-sample procedures to help students differentiate these methods.

Chapter 12

• Emphasized that the chi-square statistic measures how far observed counts are from expected counts, relative to expected counts.
• Changed the equation of the population regression model to .
  Modified the Normal condition for inference about slope: At each x value, the distribution of y values is approximately Normal OR n ≥ 30.
• Added mention of a one-parameter model (with y intercept = 0) that uses df = n – 1 (otherwise df = n – 2 when estimating both the slope and y intercept).

In addition to the content changes, the Updated 6th edition has been refined to provide more and better support for the diverse population of students that takes AP® Statistics today.

NEW – Many of the Examples now include Teacher Talk boxes that feature the voice of the teacher to guide students through the appropriate steps in the solution.

NEW - More detailed Chapter Review Exercise Videos that augment the Section Example and Exercise Videos and help students prepare for the Chapter AP® Practice Test.

Activities and NEW Chapter Projects – with more than 30 built in Activities and 5 Chapter Projects, students are encouraged to learn by simulation and by “doing” statistics. The activities and projects may be used to support collaborative learning as well as deeper investigation and study