INSTRUCTOR’S SOLUTION
MANUAL
Probability & Statistics for Engineers & Scientists, 9th edition
By Ronald E. Walpole, Raymond H. Myers
LU
XE
LI
BR
AR
Y
, TABLE OF CONTENT
1. Introduction to Statistics and Data Analysis
1.1 Overview: Statistical Inference, Samples, Populations, and the Role of Probability
1.2 Sampling Procedures; Collection of Data
1.3 Measures of Location: The Sample Mean and Median
Exercises
1.4 Measures of Variability
Exercises
1.5 Discrete and Continuous Data
1.6 Statistical Modeling, Scientific Inspection, and Graphical Methods
1.7 General Types of Statistical Studies: Designed Experiment,
Observational Study, and Retrospective Study
LU
Exercises
2. Probability
2.1 Sample Space
2.2 Events
Exercises
XE
2.3 Counting Sample Points
Exercises
2.4 Probability of an Event
2.5 Additive Rules
Exercises
2.6 Conditional Probability, Independence and Product Rules
LI
Exercises
2.7 Bayes' Rule
Exercises
Review Exercises
BR
2.8 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
3. Random Variables and Probability Distributions
3.1 Concept of a Random Variable
3.2 Discrete Probability Distributions
3.3 Continuous Probability Distributions
Exercises
AR
3.4 Joint Probability Distributions
Exercises
Review Exercises
3.5 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
4. Mathematical Expectation
4.1 Mean of a Random Variable
Y
Exercises
4.2 Variance and Covariance of Random Variables
Exercises
4.3 Means and Variances of Linear Combinations of Random Variables
4.4 Chebyshev's Theorem
Exercises
Review Exercises
4.5 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
5. Some Discrete Probability Distributions
5.1 Introduction and Motivation
5.2 Binomial and Multinomial Distributions
,Exercises
5.3 Hypergeometric Distribution
Exercises
5.4 Negative Binomial and Geometric Distributions
5.5 Poisson Distribution and the Poisson Process
Exercises
Review Exercises
5.6 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
6. Some Continuous Probability Distributions
6.1 Continuous Uniform Distribution
6.2 Normal Distribution
6.3 Areas under the Normal Curve
LU
6.4 Applications of the Normal Distribution
Exercises
6.5 Normal Approximation to the Binomial
Exercises
6.6 Gamma and Exponential Distributions
6.7 Chi-Squared Distribution
XE
6.8 Beta Distribution
6.9 Lognormal Distribution (Optional)
6.10 Weibull Distribution (Optional)
Exercises
Review Exercises
6.11 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
LI
7. Functions of Random Variables (Optional)
7.1 Introduction
7.2 Transformations of Variables
7.3 Moments and Moment-Generating Functions
BR
Exercises
8. Sampling Distributions and More Graphical Tools
8.1 Random Sampling and Sampling Distributions
8.2 Some Important Statistics
Exercises
8.3 Sampling Distributions
AR
8.4 Sampling Distribution of Means and the Central Limit Theorem
Exercises
8.5 Sampling Distribution of
S
2
Y
8.6
t
-Distribution
8.7
F
-Distribution
8.8 Quantile and Probability Plots
Exercises
Review Exercises
8.9 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
9. One- and Two-Sample Estimation Problems
, 9.1 Introduction
9.2 Statistical Inference
9.3 Classical Methods of Estimation
9.4 Single Sample: Estimating the Mean
9.5 Standard Error of a Point Estimate
9.6 Prediction Intervals
9.7 Tolerance Limits
Exercises
9.8 Two Samples: Estimating the Difference Between Two Means
9.9 Paired Observations
Exercises
9.10 Single Sample: Estimating a Proportion
LU
9.11 Two Samples: Estimating the Difference between Two Proportions
Exercises
9.12 Single Sample: Estimating the Variance
9.13 Two Samples: Estimating the Ratio of Two Variances
Exercises
9.14 Maximum Likelihood Estimation (Optional)
XE
Exercises
Review Exercises
9.15 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
10. One- and Two-Sample Tests of Hypotheses
10.1 Statistical Hypotheses: General Concepts
10.2 Testing a Statistical Hypothesis
LI
10.3 The Use of
P
-Values for Decision Making in Testing Hypotheses
Exercises
BR
10.4 Single Sample: Tests Concerning a Single Mean
10.5 Two Samples: Tests on Two Means
10.6 Choice of Sample Size for Testing Means
10.7 Graphical Methods for Comparing Means
Exercises
10.8 One Sample: Test on a Single Proportion
AR
10.9 Two Samples: Tests on Two Proportions
Exercises
10.10 One- and Two-Sample Tests Concerning Variances
Exercises
10.11 Goodness-of-Fit Test
10.12 Test for Independence (Categorical Data)
Y
10.13 Test for Homogeneity
10.14 Two-Sample Case Study
Exercises
Review Exercises
10.15 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
11. Simple Linear Regression and Correlation
11.1 Introduction to Linear Regression
11.2 The Simple Linear Regression Model
11.3 Least Squares and the Fitted Model
Exercises
11.4 Properties of the Least Squares Estimators
MANUAL
Probability & Statistics for Engineers & Scientists, 9th edition
By Ronald E. Walpole, Raymond H. Myers
LU
XE
LI
BR
AR
Y
, TABLE OF CONTENT
1. Introduction to Statistics and Data Analysis
1.1 Overview: Statistical Inference, Samples, Populations, and the Role of Probability
1.2 Sampling Procedures; Collection of Data
1.3 Measures of Location: The Sample Mean and Median
Exercises
1.4 Measures of Variability
Exercises
1.5 Discrete and Continuous Data
1.6 Statistical Modeling, Scientific Inspection, and Graphical Methods
1.7 General Types of Statistical Studies: Designed Experiment,
Observational Study, and Retrospective Study
LU
Exercises
2. Probability
2.1 Sample Space
2.2 Events
Exercises
XE
2.3 Counting Sample Points
Exercises
2.4 Probability of an Event
2.5 Additive Rules
Exercises
2.6 Conditional Probability, Independence and Product Rules
LI
Exercises
2.7 Bayes' Rule
Exercises
Review Exercises
BR
2.8 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
3. Random Variables and Probability Distributions
3.1 Concept of a Random Variable
3.2 Discrete Probability Distributions
3.3 Continuous Probability Distributions
Exercises
AR
3.4 Joint Probability Distributions
Exercises
Review Exercises
3.5 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
4. Mathematical Expectation
4.1 Mean of a Random Variable
Y
Exercises
4.2 Variance and Covariance of Random Variables
Exercises
4.3 Means and Variances of Linear Combinations of Random Variables
4.4 Chebyshev's Theorem
Exercises
Review Exercises
4.5 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
5. Some Discrete Probability Distributions
5.1 Introduction and Motivation
5.2 Binomial and Multinomial Distributions
,Exercises
5.3 Hypergeometric Distribution
Exercises
5.4 Negative Binomial and Geometric Distributions
5.5 Poisson Distribution and the Poisson Process
Exercises
Review Exercises
5.6 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
6. Some Continuous Probability Distributions
6.1 Continuous Uniform Distribution
6.2 Normal Distribution
6.3 Areas under the Normal Curve
LU
6.4 Applications of the Normal Distribution
Exercises
6.5 Normal Approximation to the Binomial
Exercises
6.6 Gamma and Exponential Distributions
6.7 Chi-Squared Distribution
XE
6.8 Beta Distribution
6.9 Lognormal Distribution (Optional)
6.10 Weibull Distribution (Optional)
Exercises
Review Exercises
6.11 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
LI
7. Functions of Random Variables (Optional)
7.1 Introduction
7.2 Transformations of Variables
7.3 Moments and Moment-Generating Functions
BR
Exercises
8. Sampling Distributions and More Graphical Tools
8.1 Random Sampling and Sampling Distributions
8.2 Some Important Statistics
Exercises
8.3 Sampling Distributions
AR
8.4 Sampling Distribution of Means and the Central Limit Theorem
Exercises
8.5 Sampling Distribution of
S
2
Y
8.6
t
-Distribution
8.7
F
-Distribution
8.8 Quantile and Probability Plots
Exercises
Review Exercises
8.9 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
9. One- and Two-Sample Estimation Problems
, 9.1 Introduction
9.2 Statistical Inference
9.3 Classical Methods of Estimation
9.4 Single Sample: Estimating the Mean
9.5 Standard Error of a Point Estimate
9.6 Prediction Intervals
9.7 Tolerance Limits
Exercises
9.8 Two Samples: Estimating the Difference Between Two Means
9.9 Paired Observations
Exercises
9.10 Single Sample: Estimating a Proportion
LU
9.11 Two Samples: Estimating the Difference between Two Proportions
Exercises
9.12 Single Sample: Estimating the Variance
9.13 Two Samples: Estimating the Ratio of Two Variances
Exercises
9.14 Maximum Likelihood Estimation (Optional)
XE
Exercises
Review Exercises
9.15 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
10. One- and Two-Sample Tests of Hypotheses
10.1 Statistical Hypotheses: General Concepts
10.2 Testing a Statistical Hypothesis
LI
10.3 The Use of
P
-Values for Decision Making in Testing Hypotheses
Exercises
BR
10.4 Single Sample: Tests Concerning a Single Mean
10.5 Two Samples: Tests on Two Means
10.6 Choice of Sample Size for Testing Means
10.7 Graphical Methods for Comparing Means
Exercises
10.8 One Sample: Test on a Single Proportion
AR
10.9 Two Samples: Tests on Two Proportions
Exercises
10.10 One- and Two-Sample Tests Concerning Variances
Exercises
10.11 Goodness-of-Fit Test
10.12 Test for Independence (Categorical Data)
Y
10.13 Test for Homogeneity
10.14 Two-Sample Case Study
Exercises
Review Exercises
10.15 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
11. Simple Linear Regression and Correlation
11.1 Introduction to Linear Regression
11.2 The Simple Linear Regression Model
11.3 Least Squares and the Fitted Model
Exercises
11.4 Properties of the Least Squares Estimators
