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Miller and Freund's Probability and Statistics for Engineers

ISBN: 9780130141583 | 0130141585
Format: Hardcover w/Disk
Publisher: PRENTICE HALL
Pub. Date: 1/1/2000

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SummaryTable of Contents
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.
Prefacexi
Introduction
1(11)
Why Study Statistics
1(1)
... MORE
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)
Bibliography562(2)
Statistical Tables564(35)
Answers to Odd-Numbered Exercises599(16)
Index615

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