Bluman, A: Elementary Statistics: A Step By Step Approach

1 The Nature of Probability and Statistics1.1 Descriptive and Inferential Statistics
1.2 Variables and Types of Data
1.3 Data Collection and Sampling Techniques
1.4 Observational and Experimental Studies
1.5 Uses and Misuses of Statistics
1.6 Computers and Calculators
2 Frequency Distributions and Graphs2.1 Organizing Data
2.2 Histograms, Frequency Polygons,and Ogives
2.3 Other Types of Graphs
3 Data Description3.1 Measures of CentralTendency
3.2 Measures of Variation
3.3 Measures of Position
3.4 Exploratory Data Analysis
4 Probability and Counting Rules4.1 Exploratory Data Analysis
4.2 The Addition Rules for Probability
4.3 The Multiplication Rules and ConditionalProbability
4.4 Counting Rules
4.5 Probability and Counting Rules
5 Discrete Probability Distributions5.1 Probability Distributions
5.2 Mean, Variance, Standard Deviation,and Expectation
5.3 The Binomial Distribution
5.4 Other Types of Distributions (Optional)
6 The Normal Distribution6.1 Normal Distributions
6.2 Applications of the NormalDistribution
6.3 The Central Limit Theorem
6.4 The Normal Approximation to the BinomialDistribution
7 Confidence Intervals and Sample Size7.1 Confidence Intervals for the Mean When s Is Known
7.2 Confidence Intervals for the Mean When s Is Unknown
7.3 Confidence Intervals and Sample Size for Proportions
7.4 Confidence Intervals for Variances and Standard Deviations
8 Hypothesis Testing8.1 Steps in Hypothesis Testing-Traditional Method
8.2 z Test for a Mean
8.3 t Test for a Mean
8.4 z Test for a Proportion
8.5 ¿2 Test for a Variance or Standard Deviation
8.6 Additional Topics Regarding Hypothesis Testing
9 Testing the Difference Between Two Means, Two Variances, and Two Proportions9.1 Testing the Difference Between Two Means: Using the z Test
9.2 Testing the Difference Between Two Means of Independent Samples: Using the t Test
9.3 Testing the Difference Between Two Means: Dependent Samples
9.4

Allan G. Bluman is Professor of Mathematics at Community College of Allegheny County, near Pittsburgh. For the McKeesport and New Kensington Campuses of Pennsylvania State University, he has taught teacher-certification and graduate education statistics courses. Prior to his college teaching, he taught mathematics at a junior high school.

Professor Bluman received his B.S. from California State College in California, Penn.; his M.Ed. from the University of Pittsburgh; and, in 1971, his Ed.D., also from the University of Pittsburgh. His major field of study was mathematics education.

In addition to Elementary Statistics: A Step by Step Approach, Third Edition, and Elementary Statistics: A Brief Version, the author has published several professional articles and the Modern Math Fun Book (Cuisenaire Publishing Company). He has spoken and presided at national and local mathematics conferences and has served as newsletter editor for the Pennsylvania State Mathematics Association of Two-Year Colleges. He is a member of the American Statistical Association, the National Council of Teachers of Mathematics, and the Mathematics Council of Western Pennsylvania. Al Bluman is married and has two children. His hobbies include writing, bicycling, and swimming.