Fundamentals of Statistics

by Sullivan, Michael III

• ISBN13: 9780131464490
• ISBN10: 0131464493
• Edition: 1st
• Format: Paperback
• Copyright: 2005-01-01
• Publisher: Prentice Hall

Summary

For a one semester or one-term algebra-based Introductory Statistics Courses. Drawing on the author's extensive teaching experience and background in statistics and mathematics, this text promotes student success in introductory statistics while maintaining the integrity of the course. Four basic principles characterize the approach of this text: generating and maintaining student interest; promoting student success and confidence; providing extensive and effective opportunity for student practice; and allowing for flexibly of teaching styles.

Table of Contents

(NOTE: Each chapter ends with Chapter Review and Consumer Reports Project.)

Data Collection

Introduction to the Practice of Statistics

Observational Studies; Simple Random Sampling

Other Types of Sampling

Sources of Error in Sampling

The Design of Experiments

Organizing and Summarizing Data

Organizing Qualitative Data

Organizing Quantitative Data

Graphical Misrepresentations of Data

Numerically Summarizing Data

Measures of Central Tendency

Measures of Dispersion

Computing Measures of Central Tendency and Dispersion from Grouped Data

Measures of Position

The Five-Number Summary; Boxplots

Describing the Relation Between Two Variables

Scatter Diagrams; Linear Correlation

Least-squares Regression

The Coefficient of Determination

Probability

Probability of Simple Events

The Addition Rule; Complements

The Multiplication Rule

Conditional Probability

Counting Techniques

The Binomial Probability Distributions

Probability Distributions

The Binomial Probability Distribution

The Normal Probability Distribution

Properties of the Normal Distribution

The Standard Normal Distribution

Applications of the Normal Distribution

Assessing Normality

Sampling Distributions; The Central Limit Theorem

The Normal Approximation to the Binomial Probability Distribution

Confidence Intervals about a Single Parameter

Confidence Intervals about a Population Mean, ?? known

Confidence Intervals about a Population Mean, ?? unknown

Confidence Intervals about the Population Proportion

Hypothesis Testing

The Language of Hypothesis Testing

Testing a Hypothesis about ??, ?? known

Testing a Hypothesis about ??, ?? unknown

Testing a Hypothesis about the Population Proportion

Comparing Two Population Parameters

Inference about Two Means: Dependent Samples

Inference about Two Means: Independent Samples

Inference about Two Population Proportions

Additional Inferential Procedures

Inference Using the Chi-Square Distribution

Chi-Square Goodness of Fit Test

Chi-Square Test for Independence; Homogeneity of Proportions

Inference on the Least-Squares Regression Model

Inference about the Least-squares Regression Model

Confidence and Prediction

Intervals

Additional Topics Available on CD

Confidence Intervals about a Population Standard Deviation

Hypothesis Tests about a Population Standard Deviation

One Way Analysis of Variance

Review of Lines

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