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# First Course in Statistics, A

**by**McClave, James T.; Sincich, Terry

9th

### 9780131499799

0131499793

Paperback

1/1/2009

Prentice Hall

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## Summary

For algebra-based Introductory Statistics courses. The Ninth Edition of this best selling introductory text features a stronger emphasis on critical thinking and sound decision making through its extensive coverage of data collection and analysis. In addition, it features a balanced approach to both the theory and application of statistics. Incorporating more pedagogy than ever before, the text helps students develop statistical thinking and teaches students to properly assess the credibility of inferences from the vantage point of both the consumer and the producer.

## Table of Contents

Statistics, Data, and Statistical Thinking | |

The Science of Statistics | |

Types of Statistical Applications | |

Fundamental Elements of Statistics | |

Types of Data | |

Collecting Data | |

The Role of Statistics in Critical Thinking | |

Methods for Describing Sets of Data | |

Describing Qualitative Data | |

Graphic Methods for Describing Quantitative Data | |

Summation Notation | |

Numerical Measures of Central Tendency | |

Numerical Measures of Variability | |

Interpreting the Standard Deviation | |

Numerical Measures of Relative Standing | |

Quartiles and Box Plots (Optional) | |

Distorting the Truth with Descriptive Techniques | |

Probability | |

Events, Sample Spaces, and Probability | |

Unions and Intersections | |

Complementary Events | |

The Additive Rule and Mutually Exclusive Events | |

Conditional Probability | |

The Multiplicative Rule and Independent Events | |

Probability and Statistics: An Example | |

Random Sampling | |

Random Variables and Probability Distributions | |

Two Types of Random Variables | |

Probability Distributions for Discrete Random Variables | |

The Binomial Distribution | |

Probability Distributions for Continuous Random Variables | |

The Normal Distribution | |

Sampling Distributions | |

Properties of Sampling Distributions: Unbiasedness and Minimum Variance (Optional) | |

The Central Limit Theorem | |

Inferences Based on a Single Sample: Estimation with Confidence Intervals | |

Large-Sample Confidence Interval for a Population Mean | |

Small- Sample Confidence Interval for a Population Mean | |

Large-Sample Confidence Interval for a Population Proportion | |

Determining the Sample Size | |

Inferences Based on a Single Sample: Tests of Hypothesis | |

The Elements of a Test of Hypothesis | |

Large-Sample Test of Hypothesis About a Population Mean | |

Observed Significance Levels: p- Values | |

Small-Sample Test of Hypothesis About a Population Mean | |

Large-Sample Test of Hypothesis About a Population Proportion | |

A Nonparametric Test About a Population Median (Optional) | |

Comparing Population Means | |

Comparing Two Population Means: Independent Sampling | |

Comparing Two Population Means: Paired Difference Experiments | |

Determining the Sample Size | |

A Nonparametric Test for Comparing Two Populations: Independent Sampling (Optional) | |

A Nonparametric Test for Comparing Two Populations: Paired Difference Experiments (Optional) | |

Comparing Three or More Population Means: Analysis of Variance (Optional) | |

Comparing Population Proportions | |

Comparing Two Population Proportions: Independent Sampling | |

Determining the Sample Size | |

Comparing Population Proportions: Multinomial Experiment (Optional) | |

Contingency Table Analysis (Optional) | |

Simple Linear Regression | |

Probabilistic Models | |

Fitting the Model: The Least Squares Approach | |

Model Assumptions | |

An Estimator of âÇ s2 | |

Assessing the Utility of the Model: Making Inferences About the Slope âÇ b1 | |

The Coefficient of Correlation | |

The Coefficient of Determination | |

Using the Model for Estimation and Prediction | |

Simple Linear Regression: An Example | |

A Nonparametric Test for Correlation (Optional) | |

Tables | |

Data Sets | |

Calculation Formulas for Analysis of Variance: Independent Sampling | |

Table of Contents provided by Publisher. All Rights Reserved. |