A brief introduction to probability and statistics /
Probability and statistics
William Mendenhall, Robert J. Beaver, Barbara M. Beaver.
- xiii, 618 pages : illustrations ; 25 cm + 1 computer disc (3/4 in)
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 -- Describing Data with Graphs -- Variables and Data -- Types of Variables -- Graphs for Categorical Data -- Graphs for Quantitative Data -- Relative Frequency Histograms -- About Minitab -- Introduction to Minitab -- Case Study How Is Your Blood Pressure? -- Describing Data with Numerical Measures -- Describing a Set of Data with Numerical Measures -- Measures of Center -- Measures of Variability -- On the Practical Significance of the Standard Deviation -- A Check on the Calculation of s -- Measures of Relative Standing -- The Box Plot -- About Minitab -- Numerical Descriptive Measures -- Case Study The Boys of Summer -- Describing Bivariate Data -- Bivariate Data -- Graphs for Qualitative Variables -- Scatterplots for Two Quantitative Variables -- Numerical Measures for Quantitative Bivariate Data -- About Minitab -- Describing Bivariate Data -- Case Study Do You Think Your Dishes Are Really Clean? -- Probability and Probability Distributions -- The Role of Probability in Statistics -- Events and the Sample Space -- Calculating Probabilities Using Simple Events -- Useful Counting Rules (Optional) -- Event Composition and Event Relations -- Conditional Probability and Independence -- Bayes' Rule (Optional) -- Discrete Random Variables and Their Probability Distributions -- About Minitab -- Discrete Probability Distributions -- Case Study Probability and Decision Making in the Congo -- Several Useful Discrete Distributions -- Introduction -- The Binomial Probability Distribution -- The Poisson Probability Distribution -- The Hypergeometric Probability Distribution -- About Minitab -- Binomial and Poisson Probabilities -- Case Study A Mystery: Cancers Near a Reactor -- The Normal Probability Distribution -- Probability Distributions for Continuous Random Variables -- The Normal Probability Distribution -- Tabulated Areas of the Normal Probability Distribution -- The Normal Approximation to the Binomial Probability Distribution (Optional) -- About Minitab -- Normal Probabilities -- Case Study The Long and the Short of It -- Sampling Distributions -- Introduction -- Sampling Plans and Experimental Designs -- Statistics and Sampling Distributions -- The Central Limit Theorem -- The Sampling Distribution of the Sample Mean -- The Sampling Distribution of the Sample Proportion -- A Sampling Application: Statistical Process Control (Optional) -- About Minitab -- The Central Limit Theorem at Work -- Case Study Sampling the Roulette at Monte Carlo -- Large-Sample Estimation -- Where We've Been -- Where We're Going -- Statistical Inference -- Types of Estimators -- Point Estimation -- Interval Estimation -- Estimating the Difference Between Two Population Means -- Estimating the Difference Between Two Binomial Proportions -- One-Sided Confidence Bounds -- Choosing the Sample Size -- Case Study How Reliable Is That Poll? -- Large-Sample Tests of Hypotheses -- Testing Hypotheses about Population Parameters -- A Statistical Test of Hypothesis -- A Large-Sample Test about a Population Mean -- A Large-Sample Test of Hypothesis for the Difference between Two Population Means -- A Large-Sample Test of Hypothesis for a Binomial Proportion -- A Large-Sample Test of Hypothesis for the Difference between Two Binomial Proportions -- Some Comments on Testing Hypotheses -- Case Study An Aspirin a Day.? -- Inference from Small Samples -- Introduction -- Student's t Distribution -- Small-Sample Inferences Concerning a Population Mean -- Small-Sample Inferences for the Difference between Two Population Means: Independent Random Samples -- Small-Sample Inferences for the Difference between Two Means: A Paired-Difference Test -- Inferences Concerning a Population Variance -- Comparing Two Population Variances -- Revisiting the Small-Sample Assumptions -- About Minitab -- Small-Sample Testing and Estimation -- Case Study How Would You Like a Four-Day Work Week? -- The Analysis of Variance -- The Design of an Experiment -- What Is an Analysis of Variance? -- The Assumptions for an Analysis of Variance -- The Completely Randomized Design: A One-Way Classification -- The Analysis of Variance for a Completely Randomized Design -- Ranking Population Means -- Revisiting the Analysis of Variance Assumptions -- A Brief Summary -- About Minitab -- Analysis of Variance Procedures -- Case Study "Are You at Risk?" -- Linear Regression and Correlation -- Introduction -- A Simple Linear Probabilistic Model -- The Method of Least Squares -- An Analysis of Variance for Linear Regression -- Testing the Usefulness of the Linear Regression Model -- Estimation and Prediction Using the Fitted Line -- Revisiting the Regression Assumptions -- Correlation Analysis -- About Minitab -- Linear Regression Procedures -- Case Study Is Your Car "Made in the U.S.A."? -- Analysis of Categorical Data -- A Description of the Experiment -- Pearson's Chi-Square Statistic -- Testing Specified Cell Probabilities: The Goodness-of-Fit Test -- Contingency Tables: A Two-Way Classification -- Comparing Several Multinomial Populations: A Two-Way Classification with Fixed Row or Column Totals -- The Equivalence of Statistical Tests -- Other Applications of the Chi-Square Test -- About Minitab -- The Chi-Square Test -- Case Study Can a Marketing Approach Improve Library Services? -- Tables -- Cumulative Binomial Probabilities -- Cumulative Poisson Probabilities -- Normal Curve Areas -- Critical Values of t -- Critical Values of Chi-Square -- Percentage Points of the F Distribution -- Random Numbers -- Percentage Points of the Studentized Range, q(k, df) -- Answers to Selected Exercises -- Index. 1. 1.1. 1.2. 1.3. 1.4. 1.5. 2. 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2.7. 3. 3.1. 3.2. 3.3. 3.4. 4. 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 4.7. 4.8. 5. 5.1. 5.2. 5.3. 5.4. 6. 6.1. 6.2. 6.3. 6.4. 7. 7.1. 7.2. 7.3. 7.4. 7.5. 7.6. 7.7. 8. 8.1. 8.2. 8.3. 8.4. 8.5. 8.6. 8.7. 8.8. 8.9. 9. 9.1. 9.2. 9.3. 9.4. 9.5. 9.6. 9.7. 10. 10.1. 10.2. 10.3. 10.4. 10.5. 10.6. 10.7. 10.8. 11. 11.1. 11.2. 11.3. 11.4. 11.5. 11.6. 11.7. 11.8. 12. 12.1. 12.2. 12.3. 12.4. 12.5. 12.6. 12.7. 12.8. 13. 13.1. 13.2. 13.3. 13.4. 13.5. 13.6. 13.7. Appendix I. Table 1. Table 2. Table 3. Table 4. Table 5. Table 6. Table 7. Table 8.