Miller and Freund's Probability and Statistics for Engineers

by Johnson, Richard A.

• ISBN13: 9780130141583
• ISBN10: 0130141585
• Edition: 6th
• Format: Hardcover w/Disk
• Copyright: 2000-01-01
• Publisher: Pearson College Div

Summary

For an introductory, one/two semester, junior/senior level course in Probability and Statistics or Applied Statistics for engineering, physical science, and mathematics students.This example and exercise-rich exploration of both elementary probability and basic statistics places a strong emphasis on engineering and science applications, many using data collected from the author's consulting experience. In later chapters, there is an emphasis on designed experiments, especially two-level factorial design.

Table of Contents

Preface	xi
Introduction	1	(11)
Why Study Statistics	1	(1)
Modern Statistics	2	(1)
Statistics and Engineering	3	(1)
The Role of the Scientist and Engineer in Quality Improvement	3	(1)
A Case Study: Visually Inspecting Data to Improve Product Quality	4	(2)
Two Basic Concepts---Population and Sample	6	(6)
Review Exercises	10	(1)
Key Terms	11	(1)
Treatment of Data	12	(39)
Pareto Diagrams and Dot Diagrams	12	(3)
Frequency Distributions	15	(3)
Graphs of Frequency Distributions	18	(4)
Stem-and-Leaf Displays	22	(5)
Descriptive Measures	27	(5)
Quartiles and Other Percentiles	32	(4)
The Calculation of x and s	36	(8)
A Case Study: Problems with Aggregating Data	44	(7)
Review Exercises	47	(3)
Key Terms	50	(1)
Probability	51	(48)
Sample Spaces and Events	51	(5)
Counting	56	(8)
Probability	64	(2)
The Axioms of Probability	66	(2)
Some Elementary Theorems	68	(9)
Conditional Probability	77	(6)
Bayes' Theorem	83	(7)
Mathematical Expectation and Decision Making	90	(9)
Review Exercises	95	(3)
Key Terms	98	(1)
Probability Distributions	99	(43)
Random Variables	99	(3)
The Binomial Distribution	102	(4)
The Hypergeometric Distribution	106	(6)
The Mean and the Variance of a Probability Distribution	112	(7)
Chebyshev's Theorem	119	(5)
The Poisson Approximation to the Binomial Distribution	124	(3)
Poisson Processes	127	(2)
The Geometric Distribution	129	(4)
The Multinomial Distribution	133	(1)
Simulation	134	(8)
Review Exercises	138	(3)
Key Terms	141	(1)
Probability Densities	142	(57)
Continuous Random Variables	142	(8)
The Normal Distribution	150	(6)
The Normal Approximation to the Binomial Distribution	156	(5)
Other Probability Densities	161	(1)
The Uniform Distribution	161	(2)
The Log-Normal Distribution	163	(2)
The Gamma Distribution	165	(3)
The Beta Distribution	168	(2)
The Weibull Distribution	170	(3)
Joint Distributions---Discrete and Continuous	173	(15)
Checking if the Data Are Normal	188	(1)
Transforming Observations to Near Normality	189	(3)
Simulation	192	(7)
Review Exercises	196	(2)
Key Terms	198	(1)
Sampling Distribution	199	(22)
Populations and Samples	199	(5)
The Sampling Distribution of the Mean (σ Known)	204	(8)
The Sampling Distribution of the Mean (σ Unknown)	212	(3)
The Sampling Distribution of the Variance	215	(6)
Review Exercises	218	(2)
Key Terms	220	(1)
Inferences Concerning Means	221	(53)
Point Estimation	221	(6)
Interval Estimation	227	(6)
Tests of Hypotheses	233	(2)
Null Hypotheses and Tests of Hypotheses	235	(6)
Hypotheses Concerning One Mean	241	(6)
The Relation Between Tests and Confidence Intervals	247	(1)
Operating Characteristic Curves	248	(7)
Inferences Concerning Two Means	255	(13)
Design Issues---Randomization and Pairing	268	(6)
Review Exercises	270	(2)
Key Terms	272	(2)
Inferences Concerning Variances	274	(10)
The Estimation of Variances	274	(3)
Hypotheses Concerning One Variance	277	(2)
Hypotheses Concerning Two Variances	279	(5)
Review Exercises	282	(1)
Key Terms	283	(1)
Inferences Concerning Proportions	284	(28)
Estimation of Proportions	284	(7)
Hypotheses Concerning One Proportion	291	(1)
Hypotheses Concerning Several Proportions	292	(9)
The Analysis of r x c Tables	301	(3)
Goodness of Fit	304	(8)
Review Exercises	309	(2)
Key Terms	311	(1)
Nonparametric Tests	312	(18)
Introduction	312	(1)
The Sign Test	313	(1)
Rank-Sum Tests	314	(7)
Tests of Randomness	321	(3)
The Kolmogorov--Smirnov and Anderson--Darling Tests	324	(6)
Review Exercises	327	(2)
Key Terms	329	(1)
Curve Fitting	330	(58)
The Method of Least Squares	330	(7)
Inferences Based on the Least Squares Estimators	337	(13)
Curvilinear Regression	350	(5)
Multiple Regression	355	(4)
Checking the Adequacy of the Model	359	(7)
Correlation	366	(13)
Multiple Linear Regression	379	(9)
Review Exercises	384	(3)
Key Terms	387	(1)
Analysis of Variance	388	(50)
Some General Principles	388	(3)
Completely Randomized Designs	391	(15)
Randomized-Block Designs	406	(8)
Multiple Comparisons	414	(5)
Some Further Experimental Designs	419	(9)
Analysis of Covariance	428	(10)
Review Exercises	433	(3)
Key Terms	436	(2)
Factorial Experimentation	438	(62)
Two-Factor Experiments	438	(9)
Multifactor Experiments	447	(13)
2n Factorial Experiments	460	(8)
The Graphic Presentation of 22 and 23 Experiments	468	(16)
Confounding in a 2n Factorial Experiment	484	(5)
Fractional Replication	489	(11)
Review Exercises	495	(4)
Key Terms	499	(1)
The Statistical Content of Quality-Improvement Programs	500	(40)
Quality-Improvement Programs	501	(3)
Starting a Quality Improvement Program	504	(2)
Experimental Designs for Quality Improvement	506	(3)
Quality Control	509	(2)
Control Charts for Measurements	511	(5)
Control Charts for Attributes	516	(8)
Tolerance Limits	524	(2)
Acceptance Sampling	526	(14)
Review Exercises	536	(2)
Key Terms	538	(2)
Applications to Reliability and Life Testing	540	(22)
Reliability	541	(2)
Failure-Time Distributions	543	(3)
The Exponential Model in Reliability	546	(4)
The Exponential Model in Life Testing	550	(4)
The Weibull Model in Life Testing	554	(8)
Review Exercises	560	(1)
Key Terms	561	(1)
Bibliography	562	(2)
Statistical Tables	564	(35)
Answers to Odd-Numbered Exercises	599	(16)
Index	615