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Introduction: An Invitation to Statistics | |
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The Population and the Sample | |
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Descriptive and Inferential Statistics | |
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Achieving the Objective of Inferential Statistics: The Necessary Steps | |
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Describing Data with Graphs | |
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Variables and Data | |
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Types of Variables | |
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Graphs for Categorical Data | |
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Graphs for Quantitative Data | |
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Relative Frequency Histograms | |
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About Minitab--Introduction to Minitab | |
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Case Study How Is Your Blood Pressure? | |
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Describing Data with Numerical Measures | |
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Describing a Set of Data with Numerical Measures | |
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Measures of Center | |
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Measures of Variability | |
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On the Practical Significance of the Standard Deviation | |
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A Check on the Calculation of s | |
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Measures of Relative Standing | |
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The Box Plot | |
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About Minitab--Numerical Descriptive Measures | |
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Case Study The Boys of Summer | |
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Describing Bivariate Data | |
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Bivariate Data | |
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Graphs for Qualitative Variables | |
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Scatterplots for Two Quantitative Variables | |
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Numerical Measures for Quantitative Bivariate Data | |
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About Minitab--Describing Bivariate Data | |
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Case Study Do You Think Your Dishes Are Really Clean? | |
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Probability and Probability Distributions | |
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The Role of Probability in Statistics | |
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Events and the Sample Space | |
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Calculating Probabilities Using Simple Events | |
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Useful Counting Rules (Optional) | |
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Event Composition and Event Relations | |
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Conditional Probability and Independence | |
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Bayes' Rule (Optional) | |
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Discrete Random Variables and Their Probability Distributions | |
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About Minitab--Discrete Probability Distributions | |
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Case Study Probability and Decision Making in the Congo | |
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Several Useful Discrete Distributions | |
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Introduction | |
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The Binomial Probability Distribution | |
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The Poisson Probability Distribution | |
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The Hypergeometric Probability Distribution | |
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About Minitab--Binomial and Poisson Probabilities | |
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Case Study A Mystery: Cancers Near a Reactor | |
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The Normal Probability Distribution | |
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Probability Distributions for Continuous Random Variables | |
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The Normal Probability Distribution | |
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Tabulated Areas of the Normal Probability Distribution | |
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The Normal Approximation to the Binomial Probability Distribution (Optional) | |
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About Minitab--Normal Probabilities | |
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Case Study The Long and the Short of It | |
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Sampling Distributions | |
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Introduction | |
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Sampling Plans and Experimental Designs | |
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Statistics and Sampling Distributions | |
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The Central Limit Theorem | |
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The Sampling Distribution of the Sample Mean | |
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The Sampling Distribution of the Sample Proportion | |
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A Sampling Application: Statistical Process Control (Optional) | |
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About Minitab--The Central Limit Theorem at Work | |
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Case Study Sampling the Roulette at Monte Carlo | |
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Large-Sample Estimation | |
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Where We've Been | |
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Where We're Going--Statistical Inference | |
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Types of Estimators | |
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Point Estimation | |
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Interval Estimation | |
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Estimating the Difference Between Two Population Means | |
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Estimating the Difference Between Two Binomial Proportions | |
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One-Sided Confidence Bounds | |
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Choosing the Sample Size | |
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Case Study How Reliable Is That Poll? | |
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Large-Sample Tests of Hypotheses | |
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Testing Hypotheses about Population Parameters | |
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A Statistical Test of Hypothesis | |
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A Large-Sample Test about a Population Mean | |
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A Large-Sample Test of Hypothesis for the Difference between Two Population Means | |
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A Large-Sample Test of Hypothesis for a Binomial Proportion | |
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A Large-Sample Test of Hypothesis for the Difference between Two Binomial Proportions | |
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Some Comments on Testing Hypotheses | |
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Case Study An Aspirin a Day ...? | |
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Inference from Small Samples | |
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Introduction | |
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Student's t Distribution | |
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Small-Sample Inferences Concerning a Population Mean | |
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Small-Sample Inferences for the Difference between Two Population Means: Independent Random Samples | |
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Small-Sample Inferences for the Difference between Two Means: A Paired-Difference Test | |
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Inferences Concerning a Population Variance | |
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Comparing Two Population Variances | |
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Revisiting the Small-Sample Assumptions | |
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About Minitab--Small-Sample Testing and Estimation | |
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Case Study How Would You Like a Four-Day Work Week? | |
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The Analysis of Variance | |
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The Design of an Experiment | |
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What Is an Analysis of Variance? | |
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The Assumptions for an Analysis of Variance | |
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The Completely Randomized Design: A One-Way Classification | |
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The Analysis of Variance for a Completely Randomized Design | |
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Ranking Population Means | |
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Revisiting the Analysis of Variance Assumptions | |
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A Brief Summary | |
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About Minitab--Analysis of Variance Procedures | |
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Case Study "Are You at Risk?" | |
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Linear Regression and Correlation | |
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Introduction | |
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A Simple Linear Probabilistic Model | |
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The Method of Least Squares | |
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An Analysis of Variance for Linear Regression | |
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Testing the Usefulness of the Linear Regression Model | |
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Estimation and Prediction Using the Fitted Line | |
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Revisiting the Regression Assumptions | |
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Correlation Analysis | |
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About Minitab--Linear Regression Procedures | |
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Case Study Is Your Car "Made in the U.S.A."? | |
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Analysis of Categorical Data | |
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A Description of the Experiment | |
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Pearson's Chi-Square Statistic | |
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Testing Specified Cell Probabilities: The Goodness-of-Fit Test | |
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Contingency Tables: A Two-Way Classification | |
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Comparing Several Multinomial Populations: A Two-Way Classification with Fixed Row or Column Totals | |
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The Equivalence of Statistical Tests | |
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Other Applications of the Chi-Square Test | |
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About Minitab--The Chi-Square Test | |
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Case Study Can a Marketing Approach Improve Library Services? | |
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Tables | |
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Cumulative Binomial Probabilities | |
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Cumulative Poisson Probabilities | |
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Normal Curve Areas | |
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Critical Values of t | |
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Critical Values of Chi-Square | |
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Percentage Points of the F Distribution | |
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Random Numbers | |
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Percentage Points of the Studentized Range, q(k, df) | |
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Answers to Selected Exercises | |
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Index | |