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SOLUTION MANUAL FOR Statistics Informed Decisions Using Data, 7th edition Sullivan INSTANT DOWNLOAD SOLUTION MANUAL

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, SOLUTION MANUAL FOR Statistics Informed
Decisions Using Data, 7th edition Sullivan
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, INSTRUCTOR’S
SOLUTIONS MANUAL
KEVIN BODDEN RANDY GALLAHER
Lewis and Clark Community College Lewis and Clark Community College




STATISTICS :
INFORMED DECISIONS
USING DATA
SEVENTH EDITION



Michael Sullivan, III
Joliet Junior College
and
Florida SouthWestern State College

,Copyright © 2025, 2021, 2017 by Pearson Education, Inc. or its affiliates. All Rights Reserved. Manufactured in the
United States of America. This publication is protected by copyright, and permission should be obtained from the
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PPID: A103000353271

, Table of Contents
Preface

Chapter 1 Data Collection
1.1 Introduction to the Practice of Statistics ............................................................................................................. 1
1.2 Observational Studies versus Designed Experiments ......................................................................................... 4
1.3 Simple Random Sampling .................................................................................................................................. 8
1.4 Other Effective Sampling Methods .................................................................................................................. 10
1.5 Bias in Sampling ............................................................................................................................................... 12
1.6 The Design of Experiments .............................................................................................................................. 15
Chapter 1 Review Exercises ........................................................................................................................................ 22
Chapter 1 Test ............................................................................................................................................................. 25
Case Study: Chrysalises for Cash ................................................................................................................................ 28

Chapter 2 Organizing and Summarizing Data
2.1 Organizing Qualitative Data ............................................................................................................................. 30
2.2 Organizing Quantitative Data: The Popular Displays ....................................................................................... 38
2.3 Additional Displays of Quantitative Data ......................................................................................................... 48
2.4 Graphical Misrepresentations of Data .............................................................................................................. 54
Chapter 2 Review Exercises ........................................................................................................................................ 56
Chapter 2 Test ............................................................................................................................................................. 60
Case Study: The Day the Sky Roared.......................................................................................................................... 63

Chapter 3 Numerically Summarizing Data
3.1 Measures of Central Tendency ......................................................................................................................... 65
3.2 Measures of Dispersion .................................................................................................................................... 72
3.3 Measures of Central Tendency and Dispersion from Grouped Data ................................................................ 88
3.4 Measures of Position and Outliers .................................................................................................................... 96
3.5 The Five-Number Summary and Boxplots ..................................................................................................... 104
Chapter 3 Review Exercises ...................................................................................................................................... 114
Chapter 3 Test ........................................................................................................................................................... 119
Case Study: Who Was “A Mourner”? ....................................................................................................................... 123

Chapter 4 Describing the Relation between Two Variables
4.1 Scatter Diagrams and Correlation ................................................................................................................... 124
4.2 Least-Squares Regression ............................................................................................................................... 144
4.3 Diagnostics on the Least-Squares Regression Line ........................................................................................ 157
4.4 Contingency Tables and Association .............................................................................................................. 167
4.5 Nonlinear Regression: Transformations (online) ............................................................................................ 177
Chapter 4 Review Exercises ...................................................................................................................................... 184
Chapter 4 Test ........................................................................................................................................................... 191
Case Study: Thomas Malthus, Population, and Subsistence ..................................................................................... 194




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,Chapter 5 Probability
5.1 Probability Rules ............................................................................................................................................. 196
5.2 The Addition Rule and Complements ............................................................................................................. 205
5.3 Independence and the Multiplication Rule...................................................................................................... 212
5.4 Conditional Probability and the General Multiplication Rule ......................................................................... 216
5.5 Counting Techniques ...................................................................................................................................... 222
5.6 Simulating Probability Experiments ............................................................................................................... 227
5.7 Putting It Together: Which Method Do I Use? ............................................................................................... 229
5.8 Bayes’s Rule (online) ...................................................................................................................................... 231
Chapter 5 Review Exercises ...................................................................................................................................... 237
Chapter 5 Test ............................................................................................................................................................ 240
Case Study: The Case of the Body in the Bag ........................................................................................................... 242

Chapter 6 Discrete Probability Distributions
6.1 Discrete Random Variables............................................................................................................................. 245
6.2 The Binomial Probability Distribution ............................................................................................................ 253
6.3 The Poisson Probability Distribution .............................................................................................................. 265
6.4 The Hypergeometric Probability Distribution (online) ................................................................................... 270
6.5 Combining Random Variables (online) .......................................................................................................... 275
Chapter 6 Review Exercises ...................................................................................................................................... 277
Chapter 6 Test ............................................................................................................................................................ 281
Case Study: The Voyage of the St. Andrew ............................................................................................................... 283

Chapter 7 The Normal Probability Distribution
7.1 Properties of the Normal Distribution ............................................................................................................. 285
7.2 Applications of the Normal Distribution ......................................................................................................... 289
7.3 Assessing Normality ....................................................................................................................................... 306
7.4 The Normal Approximation to the Binomial Probability Distribution ........................................................... 309
Chapter 7 Review Exercises ...................................................................................................................................... 313
Chapter 7 Test ............................................................................................................................................................ 318
Case Study: A Tale of Blood Chemistry.................................................................................................................... 321

Chapter 8 Sampling Distributions
8.1 Distribution of the Sample Mean .................................................................................................................... 323
8.2 Distribution of the Sample Proportion ............................................................................................................ 336
Chapter 8 Review Exercises ...................................................................................................................................... 342
Chapter 8 Test ............................................................................................................................................................ 345
Case Study: Sampling Distribution of the Median .................................................................................................... 347

Chapter 9 Estimating the Value of a Parameter
9.1 Estimating a Population Proportion ................................................................................................................ 353
9.2 Estimating a Population Mean ........................................................................................................................ 360
9.3 Estimating a Population Standard Deviation................................................................................................... 369
9.4 Putting It Together: Which Method Do I Use? ............................................................................................... 371
9.5 Estimating with Bootstrapping ........................................................................................................................ 377
Chapter 9 Review Exercises ...................................................................................................................................... 381
Chapter 9 Test ............................................................................................................................................................ 386
Case Study: Fire-Safe Cigarettes ............................................................................................................................... 389

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,Chapter 10 Hypothesis Tests Regarding a Parameter
10.1 The Language of Hypothesis Testing ............................................................................................................. 390
10.2 Hypothesis Tests for a Population Proportion ................................................................................................ 393
10.2A Using Simulation to Perform Hypothesis Tests on a Population Proportion (online) ................................... 405
10.2B Hypothesis Tests for a Population Proportion Using the Normal Model (online) ........................................ 415
10.3 Hypothesis Tests for a Population Mean ........................................................................................................ 425
10.3A Using Simulation and the Bootstrap to Perform Hypothesis Tests on a Population Mean (online).............. 437
10.3B Hypothesis Test for a Population Mean Using Student’s t Distribution (online) .......................................... 443
10.4 Hypothesis Tests for a Population Standard Deviation................................................................................... 453
10.5 Putting It Together: Which Method Do I Use? ............................................................................................... 457
10.6 The Probability of a Type II Error and the Power of the Test ........................................................................ 464
Chapter 10 Review Exercises .................................................................................................................................... 469
Chapter 10 Test ......................................................................................................................................................... 475
Case Study: How Old Is Stonehenge? ....................................................................................................................... 477

Chapter 11 Inference on Two Population Parameters
11.1 Inference About Two Population Proportions ................................................................................................ 479
11.1A Using Randomization Techniques to Compare Two Proportions (online) ................................................... 498
11.1B Inference About Two Population Proportions Using the Normal Model (online) ........................................ 505
11.2 Inference About Two Means: Dependent Samples......................................................................................... 522
11.2A Using Bootstrapping to Conduct Inference on Two Dependent Means (online) .......................................... 533
11.2B Inference About Two Population Means: Dependent Samples Using Student’s t-Distribution (online) ...... 538
11.3 Inference About Two Means: Independent Samples ...................................................................................... 548
11.3A Using Randomization Techniques to Compare Two Independent Means (online) ....................................... 563
11.3B Inference About Two Population Means: Independent Samples Using Student’s t-Distribution (online).... 565
11.4 Inference About Two Population Standard Deviations .................................................................................. 579
11.5 Putting It Together: Which Method Do I Use? ............................................................................................... 585
Chapter 11 Review Exercises .................................................................................................................................... 603
Chapter 11 Test ......................................................................................................................................................... 609
Case Study: Control in the Design of an Experiment ................................................................................................ 615

Chapter 12 Inference on Categorical Data
12.1 Goodness-of-Fit Test ...................................................................................................................................... 617
12.2 Tests for Independence and the Homogeneity of Proportions ........................................................................ 630
12.3 Inference about Two Population Proportions: Dependent Samples................................................................ 650
Chapter 12 Review Exercises .................................................................................................................................... 653
Chapter 12 Test ......................................................................................................................................................... 657
Case Study: Feeling Lucky? Well, Are You? ............................................................................................................ 661

Chapter 13 Comparing Three or More Means
13.1 Comparing Three or More Means (One-Way Analysis of Variance) ............................................................. 664
13.2 Post Hoc Tests on One-Way Analysis of Variance ........................................................................................ 676
13.3 The Randomized Complete Block Design ...................................................................................................... 684
13.4 Two-Way Analysis of Variance...................................................................................................................... 691
Chapter 13 Review Exercises .................................................................................................................................... 702
Chapter 13 Test ......................................................................................................................................................... 707
Case Study: Hat Size and Intelligence ....................................................................................................................... 710



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,Chapter 14 Inference on the Least-Squares Regression Model and Multiple Regression
14.1 Testing the Significance of the Least-squares Regression Model ................................................................... 713
14.1A Using Randomization Techniques on the Slope of the Least-squares Regression Line (online) .................. 724
14.1B Testing the Significance of the Least-squares Regression Model Using Student’s t-Distribution (online)... 728
14.2 Confidence and Prediction Intervals ............................................................................................................... 738
14.3 Introduction to Multiple Regression ............................................................................................................... 745
14.4 Interaction and Dummy Variables .................................................................................................................. 755
14.5 Polynomial Regression ................................................................................................................................... 759
14.6 Building a Regression Model .......................................................................................................................... 764
Chapter 14 Review Exercises .................................................................................................................................... 767
Chapter 14 Test .......................................................................................................................................................... 771
Case Study: Housing Boom ....................................................................................................................................... 774

Chapter 15 Nonparametric Statistics
15.1 An Overview of Nonparametric Statistics ...................................................................................................... 778
15.2 Runs Test for Randomness ............................................................................................................................. 778
15.3 Inference about Measures of Central Tendency .............................................................................................. 781
15.4 Inference about the Difference between Two Medians: Dependent Samples ................................................. 784
15.5 Inference about the Difference between Two Medians: Independent Samples .............................................. 788
15.6 Spearman’s Rank-Correlation Test ................................................................................................................. 793
15.7 Kruskal-Wallis Test ........................................................................................................................................ 800
Chapter 15 Review Exercises .................................................................................................................................... 806
Chapter 15 Test .......................................................................................................................................................... 809
Case Study: Evaluating Alabama’s 1891 House Bill 504 .......................................................................................... 812

Solutions to Consumer Reports® ....................................................................................................................... Online




Copyright © 2025 Pearson Education, Inc.

, Preface

This solutions manual accompanies Statistics: Informed Decisions Using Data, 7e by Michael Sullivan, III. The
Instructor’s Solutions Manual contains detailed solutions to all exercises in the text as well as the Consumer
Reports® projects and the case studies. The Student’s Solutions Manual contains detailed solutions to all odd
exercises in the text and all solutions to chapter reviews and tests. A concerted effort has been made to make this
manual as user-friendly and error free as possible.




Copyright © 2025 Pearson Education, Inc.

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