9780131874398

Modern Elementary Statistics

by ;
  • ISBN13:

    9780131874398

  • ISBN10:

    013187439X

  • Edition: 12th
  • Format: Hardcover
  • Copyright: 2005-12-23
  • Publisher: Pearson

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Summary

This solid text presents ideas and concepts more clearly for students who have little or no background in statistics. The Twelveth Edition retains all the elements and style that educators nationwide have come to expect-clear prose, excellent problems and precise presentation of mathematics involved-while eliminating some of the computational drudgery.

Table of Contents

Preface xi
Introduction
1(11)
The Growth of Modern Statistics
2(3)
Sources of Statistical Data
5(2)
The Nature of Statistical Data
7(5)
Checklist of Key Terms
10(1)
References
10(2)
Summarizing Data: Listing and Grouping
12(31)
Listing Numerical Data
13(3)
Stem-and-Leaf Displays
16(5)
Frequency Distribution
21(9)
Graphical Presentations
30(7)
Summarizing Two-Variable Data
37(6)
Checklist of Key Terms
41(1)
References
41(2)
Summarizing Data: Measures of Location
43(31)
Populations and Samples
44(1)
The Mean
45(4)
The Weighted Mean
49(5)
The Median
54(3)
Other Fractiles
57(2)
The Mode
59(4)
The Description of Grouped Data
63(7)
Technical Note (Summations)
70(4)
Checklist of Key Terms
73(1)
References
73(1)
Summarizing Data: Measures of Variation
74(26)
The Range
75(1)
The Standard Deviation and the Variance
75(4)
Applications of the Standard Deviation
79(7)
The Description of Grouped Data
86(2)
Some Further Descriptions
88(12)
Checklist of Key Terms
93(1)
References
93(1)
Review Exercises for Chapters 1, 2, 3, & 4
94(6)
Possibilities and Probabilities
100(24)
Counting
101(3)
Permutations
104(3)
Combinations
107(7)
Probability
114(10)
Checklist of Key Terms
122(1)
References
123(1)
Some Rules of Probability
124(35)
Sample Spaces and Events
125(7)
The Postulates of Probability
132(3)
Probabilities and Odds
135(4)
Addition Rules
139(6)
Conditional Probability
145(2)
Multiplication Rules
147(5)
Bayes Theorem
152(7)
Checklist of Key Terms
157(1)
References
157(2)
Expectations and Decisions
159(18)
Mathematical Expectation
160(4)
Decision Making
164(4)
Statistical Decision Problems
168(9)
Checklist of Key Terms
171(1)
References
171(1)
Review Exercises for Chapters 5, 6, & 7
172(5)
Probability Distributions
177(29)
Random Variables
178(1)
Probability Distributions
179(2)
The Binomial Distribution
181(8)
The Hypergeometric Distribution
189(4)
The Poisson Distribution
193(4)
The Multinomial Distribution
197(1)
The Mean of a Probability Distribution
198(3)
The Standard Deviation of a Probability Distribution
201(5)
Checklist of Key Terms
205(1)
References
205(1)
The Normal Distribution
206(23)
Continuous Distributions
207(2)
The Normal Distribution
209(9)
A Check for Normality
218(1)
Applications of the Normal Distribution
219(3)
The Normal Approximation to the Binomial Distribution
222(7)
Checklist of Key Terms
228(1)
References
228(1)
Sampling and Sampling Distributions
229(33)
Random Sampling
230(6)
Sample Designs
236(1)
Systematic Sampling
237(1)
Stratified Sampling
237(2)
Cluster Sampling
239(3)
Sampling Distributions
242(3)
The Standard Error of the Mean
245(3)
The Central Limit Theorem
248(1)
Some Further Considerations
249(3)
Technical Note (Simulation)
252(10)
Checklist of Key Terms
254(1)
References
255(1)
Review Exercises for Chapters 8, 9, & 10
256(6)
Problems of Estimation
262(25)
The Estimation of Means
263(5)
The Estimation of Means (σ unknown)
268(6)
The Estimation of Standard Deviations
274(5)
The Estimation of Proportions
279(8)
Checklist of Key Terms
286(1)
References
286(1)
Tests of Hypotheses: Means
287(30)
Tests of Hypotheses
287(6)
Significance Tests
293(7)
Tests Concerning Means
300(4)
Tests Concerning Means (σ unknown)
304(3)
Differences Between Means
307(4)
Differences Between Means (σ's unknown)
311(2)
Differences Between Means (Paired data)
313(4)
Checklist of Key Terms
315(1)
References
315(2)
Tests of Hypotheses: Standard Deviations
317(9)
Tests Concerning Standard Deviations
317(4)
Tests Concerning Two Standard Deviations
321(5)
Checklist of Key Terms
325(1)
References
325(1)
Tests of Hypotheses Based on Count Data
326(31)
Tests Concerning Proportions
327(1)
Tests Concerning Proportions (Large Samples)
328(1)
Differences between Proportions
329(4)
The Analysis of an r x c Table
333(12)
Goodness of Fit
345(12)
Checklist of Key Terms
350(1)
References
350(1)
Review Exercises for Chapters 11, 12, 13, & 14
351(6)
Analysis of Variance
357(39)
Differences Among k Means: An Illustration
358(4)
The Design of Experiments: Randomization
362(1)
One-Way Analysis of Variance
363(7)
Multiple Comparisons
370(6)
The Design of Experiments: Blocking
376(1)
Two-Way Analysis of Variance
377(1)
Two-Way Analysis of Variance without Interaction
378(4)
The Design of Experiments: Replication
382(1)
Two Way Analysis of Variance with Interaction
382(5)
The Design of Experiments: Further Considerations
387(9)
Checklist of Key Terms
394(1)
References
395(1)
Regression
396(35)
Curve Fitting
397(2)
The Method of Least Squares
399(11)
Regression Analysis
410(8)
Multiple Regression
418(4)
Nonlinear Regression
422(9)
Checklist of Key Terms
430(1)
References
430(1)
Correlation
431(21)
The Coefficient of Correlation
432(6)
The Interpretation of r
438(5)
Correlation Analysis
443(4)
Multiple and Partial Correlation
447(5)
Checklist of Key Terms
450(1)
References
451(1)
Nonparametric Tests
452(41)
The Sign Test
453(2)
The Sign Test (Large Samples)
455(3)
The Signed-Rank Test
458(4)
The Signed-Rank Test (Large Samples)
462(3)
The U Test
465(4)
The U Test (Large Samples)
469(2)
The H Test
471(4)
Tests of Randomness: Runs
475(1)
Tests of Randomness: Runs (Large Samples)
476(1)
Tests of Randomness: Runs Above and Below the Median
477(2)
Rank Correlation
479(4)
Some Further Considerations
483(1)
Summary
483(10)
Checklist of Key Terms
484(1)
References
484(2)
Review Exercises for Chapters 15, 16, 17, & 18
486(7)
Statistical Tables 493(26)
Answers to Odd-Numbered Exercises 519(38)
Index 557

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