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col10561
Collaborative Statistics (with edits: Teegarden)
1.3
2008/08/12 16:03:34.930 GMT-5
2009/07/20 16:16:55.318 GMT-5
Mary
Teegarden
Mary Teegarden
tteegard@sdccd.edu
tteegard
tteegard
tteegard
Creative Commons Attribution License 2.0
http://cnx.org/content
http://cnx.org/content/col10522/1.21
col10522
Collaborative Statistics
1.21
2008/04/18 16:49:29.983 GMT-5
2008/07/31 11:43:12.787 GMT-5
Barbara
Illowsky
Barbara Illowsky, Ph.D.
illowskybarbara@deanza.edu
Maxfield Foundation
Maxfield Foundation
cnx@cnx.org
Susan
Dean
Susan Dean
susanldean45@gmail.com
Connexions
Connexions
cnx@cnx.org
billowsky sdean
cnxorg
MaxfieldFoundation
anova
binomial
bivariate
central
chi
confidence
continuous
data
dean
descriptive
discrete
distribution
elementary
exponential
geometric
hypergeometric
hypothesis
illowsky
intervals
limit
linear
mean
normal
poisson
probability
random
regression
sampling
square
statistics
student-t
testing
theorem
uniform
univariate
variables
Mathematics and Statistics
Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members at De Anza College in Cupertino, California. The textbook was developed over several years and has been used in courses offered by many California community colleges in regular and honors-level classroom settings and in distance learning classes. This textbook is intended for introductory statistics courses being taken by students at two– and four–year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it. The labs have been modified to include information on mini-tabs by Mary Teegarden.
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Preface
View the Teacher's Guide Online
Author Ackowledgements
Student Welcome Letter
Sampling and Data
Sampling and Data
View the Teacher's Guide Online
Sampling and Data: Statistics (edited: Teegarden)
Probability
Key Terms
Data
Sampling
Sampling and Data: More on Sampling (edited: Teegarden)
Variation
Answers and Rounding Off
Frequency
Sampling and Data: Frequency, Relative Frequency, and Cumulative Frequency (edited: Teegarden)
Summary
Practice: Sampling and Data
Download handout (.pdf)
Download handout (.doc)
Sampling and Data: Homework (edited: Teegarden)
Download handout (.pdf)
Download handout (.doc)
Candy Lab
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Download handout (.doc)
Descriptive Statistics
Descriptive Statistics
View the Teacher's Guide Online
Displaying Data
Stem and Leaf Graphs (Stemplots)
Histograms
Box Plots
Measures of the Location of the Data
Measures of the Center of the Data
Skewness and the Mean, Median, and Mode
Descriptive Statistics: Measuring the Spread of the Data
Chevyshev’s Theorem
Summary of Formulas
Practice 1: Center of the Data
Practice 2: Spread of the Data
Homework
Descriptive Statistics: Descriptive Statistics Lab (edited: Teegarden)
Probability Topics
Probability Topics
View the Teacher's Guide Online
Terminology
Independent and Mutually Exclusive Events
Two Basic Rules of Probability
Contingency Tables
Venn Diagrams (optional)
Tree Diagrams (optional)
Summary of Formulas
Practice 1: Contingency Tables
Practice 2: Calculating Probabilities
Homework
Review
Probability Topics: Probability Lab (edited: Teegarden)
Discrete Random Variables
Discrete Random Variables
View the Teacher's Guide Online
Probability Distribution Function (PDF) for a Discrete Random Variable
Mean or Expected Value and Standard Deviation
Common Discrete Probability Distribution Functions
Binomial
Geometric (optional)
Hypergeometric (optional)
Poisson
Summary of Functions
Practice 1: Discrete Distribution
Practice 2: Binomial Distribution
Practice 3: Poisson Distribution
Practice 4: Geometric Distribution
Practice 5: Hypergeometric Distribution
Homework
Review
Discrete Random Variables: Lab I (edited: Teegarden)
Continuous Random Variables
Continuous Random Variables
View the Teacher's Guide Online
Continuous Probability Functions
The Uniform Distribution
The Exponential Distribution
Summary of the Uniform and Exponential Probability Distributions
Practice 1: Uniform Distribution
Practice 2: Exponential Distribution
Homework
Review
Continuous Random Variables: Lab I
The Normal Distribution
The Normal Distribution
View the Teacher's Guide Online
The Standard Normal Distribution
Z-scores
Areas to the Left and Right of x
Calculations of Probabilities
Summary of Formulas
Practice: The Normal Distribution
Homework
Review
Normal Distribution: Normal Distribution Lab I (edited: Teegarden)
The Central Limit Theorem
The Central Limit Theorem
View the Teacher's Guide Online
The Central Limit Theorem for Sample Means (Averages)
The Central Limit Theorem for Sums
Using the Central Limit Theorem
Summary of Formulas
Practice: The Central Limit Theorem
Homework
Review
Dice lab
Confidence Intervals
Confidence Intervals
View the Teacher's Guide Online
Confidence Interval, Single Population Mean, Population Standard Deviation Known, Normal
Confidence Interval, Single Population Mean, Standard Deviation Unknown, Student-T
Confidence Interval for a Population Proportion
Sample Size
Summary of Formulas
Practice 1: Confidence Intervals for Averages, Known Population Standard Deviation
Practice 2: Confidence Intervals for Averages, Unknown Population Standard Deviation
Practice 3: Confidence Intervals for Proportions
Homework
Review
Confidence Interval Lab 4
Hypothesis Testing: Single Mean and Single Proportion
Hypothesis Testing: Single Mean and Single Proportion
View the Teacher's Guide Online
Null and Alternate Hypotheses
Outcomes and the Type I and Type II Errors
Distribution Needed for Hypothesis Testing
Assumption
Rare Events
Using the Sample to Support One of the Hypotheses
Decision and Conclusion
Additional Information
Summary of the Hypothesis Test
Examples
Summary of Formulas
Practice 1: Single Mean, Known Population Standard Deviation
Practice 2: Single Mean, Unknown Population Standard Deviation
Practice 3: Single Proportion
Homework
Review
Hypothesis Testing of Single Mean and Single Proportion: Lab (Edited: Teegarden) 02
Hypothesis Testing: Two Means, Paired Data, Two Proportions
Hypothesis Testing: Two Population Means and Two Population Proportions
View the Teacher's Guide Online
Comparing Two Independent Population Means with Unknown Population Standard Deviations
Comparing Two Independent Population Means with Known Population Standard Deviations
Comparing Two Independent Population Proportions
Matched or Paired Samples
Summary of Types of Hypothesis Tests
Practice 1: Hypothesis Testing for Two Proportions
Practice 2: Hypothesis Testing for Two Averages
Homework
Review
Hypothesis Testing of Two Means and Two Proportions: Lab I (edited: Teegarden)
The Chi-Square Distribution
The Chi-Square Distribution
View the Teacher's Guide Online
Notation
Facts About the Chi-Square Distribution
Goodness-of-Fit Test
Test of Independence
Test of a Single Variance (Optional)
Summary of Formulas
Practice 1: Goodness-of-Fit Test
Practice 2: Contingency Tables
Practice 3: Test of a Single Variance
Homework
Review
Chi Squared Distribution Lab
Linear Regression and Correlation
Linear Regression and Correlation
View the Teacher's Guide Online
Linear Equations
Slope and Y-Intercept of a Linear Equation
Scatter Plots
The Regression Equation
The Correlation Coefficient
Facts About the Correlation Coefficient for Linear Regression
Prediction
Outliers
95% Critical Values of the Sample Correlation Coefficient Table
Summary
Practice: Linear Regression
Homework
Linear Regression and Correlation: Regression Lab II (edited: Teegarden)
Appendix
Practice Final Exam 1
Practice Final Exam 2
Data Sets
Group Projects
Collaborative Statistics: Group Project - Teegarden
Solution Sheets
Solution Sheet: Hypothesis Testing for Single Mean and Single Proportion
Solution Sheet: Hypothesis Testing for Two Means, Paired Data, and Two Proportions
Solution Sheet: The Chi-Square Distribution
English Phrases Written Mathematically
Symbols and their Meanings
Formulas