TY  - BOOK
AU  - Mendenhall,William
AU  - Beaver,Robert J.
AU  - Beaver,Barbara M.
TI  - A brief introduction to probability and statistics
SN  - 0534387772
AV  - QA273 .M523 2002
U1  - 519.2 21
PY  - 2002///]
CY  - Pacific Grove, CA
PB  - Duxbury/Thomson Learning
KW  - Probabilities
KW  - Mathematical statistics
N1  - Accompanied by the text: Student solutions manual for Mendenhall, Beaver, and Beaver's Introduction to probability and statistics, by Barbara M. Beaver; Introduction: An Invitation to Statistics --; The Population and the Sample --; Descriptive and Inferential Statistics --; Achieving the Objective of Inferential Statistics: The Necessary Steps --; 1; Describing Data with Graphs --; 1.1; Variables and Data --; 1.2; Types of Variables --; 1.3; Graphs for Categorical Data --; 1.4; Graphs for Quantitative Data --; 1.5; Relative Frequency Histograms --; About Minitab -- Introduction to Minitab --; Case Study How Is Your Blood Pressure? --; 2; Describing Data with Numerical Measures --; 2.1; Describing a Set of Data with Numerical Measures --; 2.2; Measures of Center --; 2.3; Measures of Variability --; 2.4; On the Practical Significance of the Standard Deviation --; 2.5; A Check on the Calculation of s --; 2.6; Measures of Relative Standing --; 2.7; The Box Plot --; About Minitab -- Numerical Descriptive Measures --; Case Study The Boys of Summer --; 3; Describing Bivariate Data --; 3.1; Bivariate Data --; 3.2; Graphs for Qualitative Variables --; 3.3; Scatterplots for Two Quantitative Variables --; 3.4; Numerical Measures for Quantitative Bivariate Data --; About Minitab -- Describing Bivariate Data --; Case Study Do You Think Your Dishes Are Really Clean? --; 4; Probability and Probability Distributions --; 4.1; The Role of Probability in Statistics --; 4.2; Events and the Sample Space --; 4.3; Calculating Probabilities Using Simple Events --; 4.4; Useful Counting Rules (Optional) --; 4.5; Event Composition and Event Relations --; 4.6; Conditional Probability and Independence --; 4.7; Bayes' Rule (Optional) --; 4.8; Discrete Random Variables and Their Probability Distributions --; About Minitab -- Discrete Probability Distributions --; Case Study Probability and Decision Making in the Congo --; 5; Several Useful Discrete Distributions --; 5.1; Introduction --; 5.2; The Binomial Probability Distribution --; 5.3; The Poisson Probability Distribution --; 5.4; The Hypergeometric Probability Distribution --; About Minitab -- Binomial and Poisson Probabilities --; Case Study A Mystery: Cancers Near a Reactor --; 6; The Normal Probability Distribution --; 6.1; Probability Distributions for Continuous Random Variables --; 6.2; The Normal Probability Distribution --; 6.3; Tabulated Areas of the Normal Probability Distribution --; 6.4; The Normal Approximation to the Binomial Probability Distribution (Optional) --; About Minitab -- Normal Probabilities --; Case Study The Long and the Short of It --; 7; Sampling Distributions --; 7.1; Introduction --; 7.2; Sampling Plans and Experimental Designs --; 7.3; Statistics and Sampling Distributions --; 7.4; The Central Limit Theorem --; 7.5; The Sampling Distribution of the Sample Mean --; 7.6; The Sampling Distribution of the Sample Proportion --; 7.7; A Sampling Application: Statistical Process Control (Optional) --; About Minitab -- The Central Limit Theorem at Work --; Case Study Sampling the Roulette at Monte Carlo --; 8; Large-Sample Estimation --; 8.1; Where We've Been --; 8.2; Where We're Going -- Statistical Inference --; 8.3; Types of Estimators --; 8.4; Point Estimation --; 8.5; Interval Estimation --; 8.6; Estimating the Difference Between Two Population Means --; 8.7; Estimating the Difference Between Two Binomial Proportions --; 8.8; One-Sided Confidence Bounds --; 8.9; Choosing the Sample Size --; Case Study How Reliable Is That Poll? --; 9; Large-Sample Tests of Hypotheses --; 9.1; Testing Hypotheses about Population Parameters --; 9.2; A Statistical Test of Hypothesis --; 9.3; A Large-Sample Test about a Population Mean --; 9.4; A Large-Sample Test of Hypothesis for the Difference between Two Population Means --; 9.5; A Large-Sample Test of Hypothesis for a Binomial Proportion --; 9.6; A Large-Sample Test of Hypothesis for the Difference between Two Binomial Proportions --; 9.7; Some Comments on Testing Hypotheses --; Case Study An Aspirin a Day.? --; 10; Inference from Small Samples --; 10.1; Introduction --; 10.2; Student's t Distribution --; 10.3; Small-Sample Inferences Concerning a Population Mean --; 10.4; Small-Sample Inferences for the Difference between Two Population Means: Independent Random Samples --; 10.5; Small-Sample Inferences for the Difference between Two Means: A Paired-Difference Test --; 10.6; Inferences Concerning a Population Variance --; 10.7; Comparing Two Population Variances --; 10.8; Revisiting the Small-Sample Assumptions --; About Minitab -- Small-Sample Testing and Estimation --; Case Study How Would You Like a Four-Day Work Week? --; 11; The Analysis of Variance --; 11.1; The Design of an Experiment --; 11.2; What Is an Analysis of Variance? --; 11.3; The Assumptions for an Analysis of Variance --; 11.4; The Completely Randomized Design: A One-Way Classification --; 11.5; The Analysis of Variance for a Completely Randomized Design --; 11.6; Ranking Population Means --; 11.7; Revisiting the Analysis of Variance Assumptions --; 11.8; A Brief Summary --; About Minitab -- Analysis of Variance Procedures --; Case Study "Are You at Risk?" --; 12; Linear Regression and Correlation --; 12.1; Introduction --; 12.2; A Simple Linear Probabilistic Model --; 12.3; The Method of Least Squares --; 12.4; An Analysis of Variance for Linear Regression --; 12.5; Testing the Usefulness of the Linear Regression Model --; 12.6; Estimation and Prediction Using the Fitted Line --; 12.7; Revisiting the Regression Assumptions --; 12.8; Correlation Analysis --; About Minitab -- Linear Regression Procedures --; Case Study Is Your Car "Made in the U.S.A."? --; 13; Analysis of Categorical Data --; 13.1; A Description of the Experiment --; 13.2; Pearson's Chi-Square Statistic --; 13.3; Testing Specified Cell Probabilities: The Goodness-of-Fit Test --; 13.4; Contingency Tables: A Two-Way Classification --; 13.5; Comparing Several Multinomial Populations: A Two-Way Classification with Fixed Row or Column Totals --; 13.6; The Equivalence of Statistical Tests --; 13.7; Other Applications of the Chi-Square Test --; About Minitab -- The Chi-Square Test --; Case Study Can a Marketing Approach Improve Library Services? --; Appendix I; Tables --; Table 1; Cumulative Binomial Probabilities --; Table 2; Cumulative Poisson Probabilities --; Table 3; Normal Curve Areas --; Table 4; Critical Values of t --; Table 5; Critical Values of Chi-Square --; Table 6; Percentage Points of the F Distribution --; Table 7; Random Numbers --; Table 8; Percentage Points of the Studentized Range, q(k, df) --; Answers to Selected Exercises --; Index
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