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AP STATISTICS AB
AP STATISTICS AB
 
AP Statistics gives students hands-on experience collecting, analyzing, graphing, and interpreting real-world data. They will learn to effectively design and analyze research studies by reviewing and evaluating real research examples taken from daily life. The next time they hear the results from another poll or study, they will know whether the results are valid. As the art of drawing conclusions from imperfect data and the science of real world uncertainties, statistics plays an important role in many fields. The equivalent of an introductory college-level course, AP Statistics prepares students for the AP Exam and for further study in science, sociology, medicine, engineering, political science, geography, and business.
statistic man
The content aligns to the scope and sequence specified by the College Board and to widely used textbooks.
 
Prerequisites: Algebra II or Math Analysis
Recommended Grades: For qualified AP students
Length: Two semesters

UNIT 1: DESCRIBING DATA

LESSON 1: WHAT IS STATISTICS?
Discuss: Introductions
Introduce yourself to your classmates and your instructor.
Duration: 0hr 15min Scoring: 10 points
Discuss: Errors in Ads (and Other Claims)
Discuss ads containing statistical errors, abuses, and misleading statements.
Duration: 0hr 30min Scoring: 10 points
Study: Welcome to Statistics
Explore the history of statistics. Examine the main types of statistics and the types of data used in statistics.
Duration: 0hr 50min
Practice: Welcome to Statistics
Answer questions about the history of statistics, the main types of statistics and the types of data used in statistics.
Duration: 0hr 30min
Quiz: Types of Data, Types of Statistics
Answer questions on differentiating between counts vs. measures (that is, discrete vs. continuous data), numerical vs. categorical data, and inferential vs. descriptive statistics.
Duration: 0hr 50min Scoring: 10 points
Practice: Identifying Types of Data and Statistics
Apply your knowledge to explain why a given study is descriptive or inferential and to identify categorical and numerical data.
Duration: 1hr Scoring: 25 points
 
LESSON 2: DISPLAYING DISTRIBUTIONS WITH GRAPHS
Quiz: Variables and Distributions
Answer questions to familiarize yourself with statistical terms such as variable and distribution.
Duration: 1hr Scoring: 10 points
Practice: What Can You Tell From Graphs?
Use information from various kinds of graphs to answer questions.
Duration: 1hr Scoring: 25 points
Discuss: Choosing Appropriate Graphs
Discuss which type of graph is best for displaying a given data set and why.
Duration: 0hr 30min Scoring: 10 points
Study: Introduction to Frequency Data and Their Graphs
Explore the different kinds of frequency plots, including histograms, relative frequency plots, cumulative frequency plots, cumulative relative frequency plots, and bar graphs.
Duration: 0hr 50min
Practice: Introduction to Frequency Data and Their Graphs
Answer questions about the different kinds of frequency plots, including histograms, relative frequency plots, cumulative frequency plots, cumulative relative frequency plots, and bar graphs.
Duration: 0hr 30min
Quiz: Matching Graphs and Tables
Answer questions based on tables and graphs. Match tables with graphs derived from the same data.
Duration: 0hr 50min Scoring: 10 points
Practice: Introduction to Stem-and-Leaf Plots
Research stem-and-leaf plots and back-to-back stem-and-leaf plots. Practice creating them.
Duration: 1hr
Quiz: Stem-and-Leaf Plots
Answer questions about stem-and-leaf plots.
Duration: 0hr 50min Scoring: 10 points
Study: Histograms, and Making Them on the TI-83
See how histograms are related to stem-and-leaf plots. Create histograms on the TI-83 graphing calculator.
Duration: 1hr
Practice: Histograms, and Making Them on the TI-83
Answer questions about how histograms are related to stem-and-leaf plots and about histograms on the TI-83 graphing calculator.
Duration: 0hr 30min
Discuss: Histograms
Discuss how best to display data with a histogram.
Duration: 0hr 30min Scoring: 10 points
Quiz: Identifying Shapes of Distributions
Answer questions about uniformly distributed distributions, bimodal distributions, symmetric and mound-shaped distributions, distributions skewed to the left or to the right, clusters, gaps, and outliers.
Duration: 1hr Scoring: 10 points
 
LESSON 3: DESCRIBING DISTRIBUTIONS USING NUMBERS
Study: Populations and Samples, Parameters and Statistics
Examine the distinction between a population and a sample, and between a parameter and a statistic. Go over the basics of random sampling.
Duration: 0hr 50min
Practice: Populations and Samples, Parameters and Statistics
Answer questions about the distinction between a population and a sample, and between a parameter and a statistic.
Duration: 0hr 30min
Quiz: Populations, Samples, Parameters, Statistics
Answer questions about whether a given data set is a sample or a population and about whether a value is a statistic or a parameter.
Duration: 0hr 40min Scoring: 10 points
Study: Measures of Central Tendency
See how to calculate the three measures of center (the mean, the median, and the mode). Explore the strengths and weaknesses of each.
Duration: 0hr 50min
Practice: Measures of Central Tendency
Answer questions about how to calculate the three measures of center (the mean, the median, and the mode). Answer questions about the strengths and weaknesses of each.
Duration: 0hr 30min
Practice: Differences Between Mean and Median
Calculate means and medians for different distributions (some with outliers), and answer questions about the differences between them.
Duration: 1hr 30min Scoring: 25 points
Study: Measuring Variation
Explore a technique for measuring variation: the standard deviation. Go over the distinction between the population standard deviation and the sample standard deviation.
Duration: 0hr 50min
Practice: Measuring Variation
Answer questions about a technique for measuring variation: the standard deviation, and the distinction between the population standard deviation and the sample standard deviation.
Duration: 0hr 30min
Practice: Standard Deviation and Variance
Calculate standard deviations and variances.
Duration: 1hr 30min Scoring: 25 points
 
LESSON 4: FIVE-NUMBER SUMMARIES
Study: Box-and-Whisker Plots and the Five-Number Summary
Go over box-and-whisker plots and the five-number summary (minimum, Q1, median, Q3, and maximum). Learn the definition of outlier.
Duration: 0hr 50min
Practice: Box-and-Whisker Plots and the Five-Number Summary
Answer questions about box-and-whisker plots and the five-number summary (minimum, Q1, median, Q3, and maximum). Learn the definition of outlier.
Duration: 0hr 30min
Quiz: Box-and-Whisker Plots and the Five-Number Summary
Construct box-and-whisker plots and modified box-and-whisker plots. Answer questions about the minimum, Q1, median, Q3, maximum, and outliers.
Duration: 0hr 50min Scoring: 10 points
Practice: Box-and-Whisker Plots and Modified Box-and-Whisker Plots on the TI-83
See how to create a standard and modified box-and-whisker plots on the TI-83 and interpret the results.
Duration: 0hr 30min
Practice: Working With Box-and-Whisker Plots
Create multiple box-and-whisker plots on the TI-83 graphing calculator. Compare and contrast the distributions based on these plots.
Duration: 1hr 30min Scoring: 25 points
Discuss: Five-Number Summaries on MINITAB
Discuss distributions illuminated by related box-and-whisker plots and their MINITAB output. Learn how to read MINITAB output for five-number summaries and box-and-whisker plots.
Duration: 0hr 30min Scoring: 10 points
 
LESSON 5: MORE ON DESCRIBING DISTRIBUTIONS
Practice: Averages in Skewed Data
Graph skewed data on the TI-83 and calculate the mean and median. Repeat with a skewed left distribution.
Duration: 0hr 30min
Quiz: Estimating Distribution Shape, Using Measures of Central Tendency
Answer questions about how a sample can be used to estimate the shape of the distribution. See how to decide which measures of central tendency and variation are most appropriate to use with differently shaped distributions.
Duration: 1hr Scoring: 10 points
Practice: Changes in Units of Measurement
Explore changes in measures of center and spread resulting from changes in unit (using conversions between Celsius and Fahrenheit).
Duration: 0hr 30min
Practice: Distributions of Data
Bring together terms and symbols for characterizing a distribution, write about characteristics of different distributions in these terms, and offer theories about why the distributions are shaped as they are.
Duration: 2hr Scoring: 25 points
Quiz: Important Concepts From This Unit
Answer questions to clarify your knowledge of some important concepts in statistics.
Duration: 1hr Scoring: 15 points
 
LESSON 6: WRAP-UP
Discuss: What Is Interesting? What Is Confusing?
Discuss basic statistics, graphs, five-number summaries, distributions, and any concepts about which you are unclear.
Duration: 0hr 30min Scoring: 10 points
Review: Describing Data
Review your studies of basic statistics, graphs, five-number summaries, and distributions.
Duration: 3hr 30min
Test (TS): Describing Data
Take a test about the basics of statistics.
Duration: 0hr 50min Scoring: 100 points
 
LESSON 7: DIAGNOSTIC
Diagnostic: Describing Data
Test your understanding of the key concepts covered.
Duration: 0hr 45min Scoring: 34 points

UNIT 2: THE NORMAL DISTRIBUTION

LESSON 1: INTRODUCTION TO THE NORMAL DISTRIBUTION
Discuss: Performance Comparisons
Discuss performance comparisons between two unrelated distributions, such as scoring averages in baseball and basketball. Show distributions for scoring averages in two sports.
Duration: 0hr 30min Scoring: 10 points
Study: The Normal Curve
Explore the characteristics and uses of one of the most important distributions in statistics: the bell-shaped (or normal) distribution.
Duration: 0hr 50min
Practice: The Normal Curve
Answer questions about the characteristics and uses of one of the most important distributions in statistics: the bell-shaped (or normal) distribution.
Duration: 0hr 30min
Brainbuilder: Properties of Normal Distributions
Manipulate graphs of normal curves and explore their properties. Change means and standard deviations to see the effect on the shape of the curve. Think of areas under the curve as proportions, relative frequencies, and probabilities.
Duration: 1hr
Practice: RandNorm on the TI-83
Use the RandNorm function on a TI-83 to draw a sample. Store the data in a list, then create a histogram from the data and discuss whether the data appears "normal."
Duration: 0hr 30min
 
LESSON 2: STANDARDIZED SCORES
Study: Raw and Standardized Scores
Explore the standard normal distribution. See how to find areas in a normal distribution and in a standard normal distribution.
Duration: 0hr 50min
Practice: Raw and Standardized Scores
Answer questions about the standard normal distribution. See how to find areas in a normal distribution and in a standard normal distribution.
Duration: 0hr 30min
Brainbuilder: x-Values and z-Scores
Manipulate graphs of normal curves to find areas, proportions, and probabilities.
Duration: 1hr
Practice: Using a Normal Curve Table
Translate raw scores to percentiles and areas (and vice versa) using a normal distribution table.
Duration: 0hr 50min
Quiz: x-Values, z-Scores, and Areas on the TI-83
Answer questions that require you to convert normal distribution scores using the TI-83 graphing calculator.
Duration: 0hr 50min Scoring: 10 points
 
LESSON 3: DETERMINING IF A DATA SET IS NORMAL
Study: Checking a Data Set for Normalcy
See how to check for normalcy using either the empirical rule or a normal quantile plot. Also, see how to use a TI-83 to make a quantile plot.
Duration: 0hr 50min
Practice: Checking a Data Set for Normalcy
Answer questions about how to check for normalcy using either the empirical rule or a normal quantile plot. Also, see how to use a TI-83 to make a quantile plot.
Duration: 0hr 30min
Quiz: Empirical Rule and Quantile Plots
Answer questions about testing a data set for normalcy using the empirical rule and normal quantile plots.
Duration: 1hr Scoring: 15 points
Practice: Checking for Normalcy
Use the empirical rule to determine if a given data set is normal. Use a TI-83 to do a normal quantile plot, and decide if it is close to a normal distribution.
Duration: 1hr Scoring: 25 points
Quiz: Aspects of the Normal Distribution
Answer questions about terms and properties associated with the normal distribution.
Duration: 0hr 50min Scoring: 20 points
 
LESSON 4: WRAP-UP
Discuss: What Is Interesting? What Is Confusing?
Discuss the normal distribution, and any concepts about which you are unclear.
Duration: 0hr 30min Scoring: 10 points
Review: The Normal Distribution
Review your studies of the normal distribution.
Duration: 3hr 30min
Test (TS): The Normal Distribution
Take a test about the normal distribution.
Duration: 0hr 50min Scoring: 100 points
 
LESSON 5: DIAGNOSTIC
Diagnostic: The Normal Distribution
Test your understanding of the key concepts covered.
Duration: 0hr 45min Scoring: 36 points

UNIT 3: BIVARIATE DATA

LESSON 1: INTRODUCTION TO BIVARIATE DATA
Discuss: Shoe Size vs. Height
Using data provided, plot shoe size and height to see if there's a pattern. Discuss your findings.
Duration: 0hr 30min Scoring: 10 points
Practice: Scatterplots and Bivariate Data
Go over the distinction between categorical and quantitative variables. Create scatterplots and explore the distinction between the explanatory variable and the response variable.
Duration: 0hr 30min
 
LESSON 2: THE LEAST-SQUARES REGRESSION LINE
Study: Least-Squares Regression Line
Explore the least-squares regression line (a model for data that may be linearly associated).
Duration: 0hr 50min
Practice: Least-Squares Regression Line
Answer questions about the least-squares regression line (a model for data that may be linearly associated).
Duration: 0hr 30min
Practice: Exploring LSR With the TI-83
Use the TI-83 to explore the meaning of the least-squares regression and find lines of best fit. Learn about residuals and how to calculate them on the TI-83.
Duration: 0hr 50min
Study: Residuals
Explore residuals in linear regression and see how to compute them with a TI-83.
Duration: 0hr 50min
Practice: Residuals
Answer questions about residuals in linear regression and see how to compute them with a TI-83.
Duration: 0hr 30min
Practice: Linear Regression Lines
Given bivariate data, produce a scatterplot and produce a linear regression line and its residual plot by using the TI-83. Explain why a line is or is not a good model for the given data.
Duration: 0hr 50min Scoring: 25 points
 
LESSON 3: THE CORRELATION COEFFICIENT
Study: Pearson: Correlation Coefficient
Explore Pearson's correlation coefficient. See what scatterplots look like for various r's, and see how to obtain r on a TI-83. Examine the relationship between r and the slope of the regression line.
Duration: 0hr 50min
Practice: Pearson: Correlation Coefficient
Answer questions about Pearson's correlation coefficient. See what scatterplots look like for various r's, and see how to obtain r on a TI-83. Examine the relationship between r and the slope of the regression line.
Duration: 0hr 30min
Discuss: Exploring Correlation Coefficient: r
Use the TI-83 to explore correlation coefficients for different distributions. Move, create, and delete points to see the effects on Pearson's r. Discuss your findings.
Duration: 0hr 30min Scoring: 10 points
Practice: r on the TI-83
Given some bivariate real-world data, use the TI-83 STAT functions to find the linear regression line and the correlation coefficient r.
Duration: 0hr 30min
Study: The Meaning of r-Squared
Explore r-squared (also called the coefficient of determination), which gives the proportion of the variation in a response variable that is explained by the explanatory variable.
Duration: 0hr 50min
Practice: The Meaning of r-Squared
Answer questions about r-squared (also called the coefficient of determination), which gives the proportion of the variation in a response variable that is explained by the explanatory variable.
Duration: 0hr 30min
Practice: Finding and Interpreting r and r-Squared
Given some real-world bivariate data, use the TI-83 STAT functions to find the linear regression line, r, and r-squared. Explain the meaning of r, -squared, and the slope of the regression line in the context of each problem.
Duration: 1hr
Study: Uses of the Regression Line
Explore correlation, residual plots, and linear regression predictions. Examine the distinction between interpolation and extrapolation.
Duration: 0hr 50min
Practice: Uses of the Regression Line
Answer questions about correlation, residual plots, and linear regression predictions. Examine the distinction between interpolation and extrapolation.
Duration: 0hr 30min
Practice: Relation of Shoe Size to Height
Determine whether the correlation is strong for a data set. Calculate the r and find the linear regression line—. Determine whether there is evidence that the variables are related.
Duration: 0hr 30min
Practice: Regression Lines and Bivariate Statistics
Given real-world bivariate data, use the TI-83 STAT functions to find the linear regression line and its slope. Explain and interpret the meaning of the slope (the regression coefficient). Explain the meaning of r and r-squared.
Duration: 2hr Scoring: 25 points
Study: How to Read MINITAB Output
See how to read MINITAB output for scatterplots, linear regression lines, correlation coefficients and r-squared, residual plots, and other bivariate statistics.
Duration: 0hr 50min
Practice: How to Read MINITAB Output
Answer questions about how to read MINITAB output for scatterplots, linear regression lines, correlation coefficients and r-squared, residual plots, and other bivariate statistics.
Duration: 0hr 30min
Discuss: Correlation vs. Causation
Consider bivariate data sets (along with stories about how the data sets were gathered) and discuss whether the data sets may or may not show a cause-and-effect relationship.
Duration: 0hr 30min Scoring: 10 points
 
LESSON 4: INFLUENTIAL POINTS AND OUTLIERS
Study: Influential Points and Outliers
Explore the effects of outliers and influential points on a linear regression.
Duration: 0hr 50min
Practice: Influential Points and Outliers
Answer questions about the effects of outliers and influential points on a linear regression.
Duration: 0hr 30min
Practice: Bivariate Statistics and Outliers
Use the TI-83 to explore the effects of outliers on the least-squares line regression and on the correlation coefficient. Then use the TI-83 to explore a set of bivariate data.
Duration: 1hr
Quiz: Aspects of Linear Regression
Answer questions about scatterplots, variables, linear regression, residuals, r, r-squared, outliers, influential points, interpolation, and extrapolation.
Duration: 0hr 50min Scoring: 15 points
 
LESSON 5: TRANSFORMATIONS TO ACHIEVE LINEARITY
Study: Transformations to Achieve Linearity
Explore data sets that are not linearly associated, and see how to transform the data in such sets to achieve linear association.
Duration: 0hr 50min
Practice: Transformations to Achieve Linearity
Answer questions about data sets that are not linearly associated, and see how to transform the data in such sets to achieve linear association.
Duration: 0hr 30min
Practice: Transformations to Achieve Linearity
Use the TI-83 STAT functions to practice the methods to straighten exponential, power, and logarithmic associations.
Duration: 1hr 30min Scoring: 25 points
Practice: Straightening Relationships
Practice regression techniques.
Duration: 1hr
 
LESSON 6: CATEGORICAL BIVARIATE DATA: TWO-WAY TABLES
Discuss: Comparing Groups in a Table
Discuss questions such as the following: Does a sports team perform better at home or away? Is there a relationship between education and military service?
Duration: 0hr 30min Scoring: 10 points
Study: How to Interpret a Two-Way Table
Examine marginal frequencies, row and column percents, and conditional distributions.
Duration: 0hr 50min
Practice: How to Interpret a Two-Way Table
Answer questions about marginal frequencies, row and column percents, and conditional distributions.
Duration: 0hr 30min
Brainbuilder: Creating Two-Way Tables
Use a data set to create a two-way table with row and column percents. Create joint frequencies and marginal frequencies and answer questions about the conclusions you can draw.
Duration: 1hr
Discuss: A Paradox
Discuss how strange things can happen when data or statistics are combined.
Duration: 0hr 30min Scoring: 10 points
Quiz: Simpson: Paradox and Confounding
Answer questions about Simpson's paradox.
Duration: 0hr 50min Scoring: 10 points
 
LESSON 7: WRAP-UP
Discuss: What Is Interesting? What Is Confusing?
Discuss bivariate data, the least-squares regression line, the correlation coefficient, influential points and outliers, categorical bivariate data, two-way tables, and any concepts about which you are unclear.
Duration: 0hr 30min Scoring: 10 points
Review: Bivariate Data: Regression Analysis and Two-Way Tables
Review your studies of bivariate data.
Duration: 3hr 30min
Test (TS): Bivariate Data: Regression Analysis and Two-Way Tables
Take a test about bivariate data.
Duration: 0hr 50min Scoring: 100 points
 
LESSON 8: DIAGNOSTIC
Diagnostic: Bivariate Data: Regression Analysis and Two-Way Tables
Test your understanding of the key concepts covered.
Duration: 0hr 45min Scoring: 48 points

UNIT 4: PLANNING A STUDY

LESSON 1: METHODS OF DATA COLLECTION--EXPERIMENTS AND STUDIES
Study: Vocabulary of Data Collection
Explore data-collection terms and concepts such as sample, census, anecdotal evidence, available data, design for producing data, and observational study vs. experiment.
Duration: 0hr 50min
Practice: Vocabulary of Data Collection
Explore data-collection terms and concepts such as sample, census, anecdotal evidence, available data, design for producing data, and observational study vs. experiment.
Duration: 0hr 30min
Quiz: Data Collection
Answer questions about methods of data collection and state whether they will yield valid results. Differentiate between an observational study and an experiment.
Duration: 1hr Scoring: 10 points
Study: Vocabulary of Experiments and Surveys
Explore experiment terminology and the three principles of experimental design.
Duration: 0hr 50min
Practice: Vocabulary of Experiments and Surveys
Explore experiment terminology and the three principles of experimental design.
Duration: 0hr 30min
Practice: Aspects of Experiments
Given an experimental design, identify terms associated with experiments. Identify elements of effective and flawed design.
Duration: 0hr 50min
Quiz: Designs for Experiments
Answer questions about completely randomized design vs. randomized match-paired design vs. randomized block design.
Duration: 1hr 30min Scoring: 10 points
Practice: Choosing the Design of an Experiment
Design an experiment to test a given researchable issue.
Duration: 1hr 30min Scoring: 25 points
 
LESSON 2: METHODS OF DATA COLLECTION--SURVEYS
Study: Types of Samples for Surveys
Explore the types of samples for surveys, including: simple random sample, census, stratified random sample, convenience sample, systematic sample and cluster sample, representative sample as opposed to a random sample, and self-selected sample.
Duration: 0hr 50min
Practice: Types of Samples for Surveys
Explore the types of samples for surveys, including: simple random sample, census, stratified random sample, convenience sample, systematic sample and cluster sample, representative sample as opposed to a random sample, and self-selected sample.
Duration: 0hr 30min
Practice: Generating Random Samples
Using the random number generator on a TI-83, randomly allocate subjects to two or more groups, so that the groups have equal size or their placement is independent.
Duration: 0hr 50min
Study: Bias in Surveys/Transition to Inference
Explore the types of bias in surveys, including the following: under-coverage, non-response, response bias, voluntary response, wording of a question, order of questions, and sampling bias.
Duration: 1hr
Practice: Bias in Surveys/Transition to Inference
Explore the types of bias in surveys, including the following: under-coverage, non-response, response bias, voluntary response, wording of a question, order of questions, and sampling bias.
Duration: 0hr 30min
Quiz: Factors Causing Bias
Answer questions about the various causes of bias in observational studies and experiments.
Duration: 1hr Scoring: 10 points
Quiz: Aspects of Studies
Answer questions about terms related to experimental and observational studies.
Duration: 1hr Scoring: 10 points
 
LESSON 3: WRAP-UP
Discuss: What Is Interesting? What Is Confusing?
Discuss methods of data collection, including experiments, studies, and surveys, and any concepts about which you are unclear.
Duration: 0hr 30min Scoring: 10 points
Review: Planning a Study
Review your studies of methods of data collection.
Duration: 3hr 30min
Test (TS): Planning a Study
Take a test about methods of data collection.
Duration: 0hr 50min Scoring: 100 points
 
LESSON 4: DIAGNOSTIC
Diagnostic: Planning a Study
Test your understanding of the key concepts covered.
Duration: 0hr 45min Scoring: 34 points

UNIT 5: PROBABILITY

LESSON 1: WHAT IS PROBABILITY?
Study: Range of Probabilities
See that the range of probabilities is between 0 and 1, and that probabilities can be estimated from past events, from the theoretical definition of probability (equally likely outcomes), or from an intuition based on previous experience.
Duration: 0hr 50min
Practice: Range of Probabilities
See that the range of probabilities is between 0 and 1, and that probabilities can be estimated from past events, from the theoretical definition of probability (equally likely outcomes), or from an intuition based on previous experience.
Duration: 0hr 30min
Discuss: What Do You Mean by That?
Discuss which words denote what probabilities. Associate words like might, maybe, certain, probably, possibly, unlikely, and very likely with a single probability or a range of probabilities from 0 to 1.
Duration: 0hr 50min Scoring: 10 points
Practice: What Is Probability?
Consider probability in terms of relative frequencies. Look at examples and answer questions.
Duration: 0hr 30min
Quiz: Calculating Probabilities
Answer questions that require you to calculate probabilities from a given data set.
Duration: 0hr 50min Scoring: 10 points
 
LESSON 2: INTRODUCTION TO THE BASIC RULES OF PROBABILITY
Study: Concepts of Probability
Explore basic concepts of probability, such as sample space, outcome, and event.
Duration: 0hr 50min
Practice: Concepts of Probability
Explore basic concepts of probability, such as sample space, outcome, and event.
Duration: 0hr 30min
Quiz: Basic Concepts of Probability
Answer questions about the basic concepts of probability.
Duration: 1hr Scoring: 10 points
Study: The Rules of Probability and an Introduction to Conditional Probability
Explore conditional probability, and learn some rules for solving probability problems.
Duration: 0hr 50min
Practice: The Rules of Probability and an Introduction to Conditional Probability
Explore conditional probability, and learn some rules for solving probability problems.
Duration: 0hr 30min
Practice: Using the Rules of Probability
Apply the rules for calculating conditional probabilities and the probabilities of combined events.
Duration: 1hr 30min Scoring: 25 points
 
LESSON 3: MORE ON CONDITIONAL PROBABILITIES AND THE PROBABILITIES OF COMBINED EVENTS
Practice: Practice With Laws of Probability
Apply probability laws.
Duration: 1hr
Study: Conditional Probabilities and Tree Diagrams
Explore conditional and combined probability using tree diagrams and two-way tables.
Duration: 0hr 50min
Practice: Conditional Probabilities and Tree Diagrams
Explore conditional and combined probability using tree diagrams and two-way tables.
Duration: 0hr 30min
Practice: Tree Diagrams and Probabilities
Use tree diagrams to find probabilities.
Duration: 1hr
Quiz: Calculating Conditional Probabilities Graphically
Answer questions about conditional probability using tree-diagrams or two-way tables.
Duration: 1hr Scoring: 10 points
 
LESSON 4: PROBABILITY DISTRIBUTIONS
Study: Random Variables: Discrete and Continuous
Explore random variables. Consider discrete vs. continuous random variables, and see how they're used in probability. Examine probability distributions for random variables, density curves, and see why P(x) = 0 for any individual number.
Duration: 0hr 50min
Practice: Random Variables: Discrete and Continuous
Explore random variables. Consider discrete vs. continuous random variables, and see how they're used in probability. Examine probability distributions for random variables, density curves, and see why P(x) = 0 for any individual number.
Duration: 0hr 30min
Practice: Discrete Probability Distributions
Use the TI-83 to do virtual random experiments (such as die rolls, coin flips, and candy samples) and see their histograms. Convert probability tables into histograms and vice versa. Create probability histograms from given facts.
Duration: 1hr
Quiz: Aspects of Random Variables
Answer questions about discrete random variables, continuous random variables, density curves, probability distributions, and probability histograms.
Duration: 0hr 50min Scoring: 15 points
 
LESSON 5: MEANS AND VARIANCES OF RANDOM VARIABLES
Discuss: Dice Games
Given the rules of various dice games, rank them by which you'd prefer to play (from a statistical point of view). Discuss your ranking.
Duration: 0hr 30min Scoring: 10 points
Study: Mean and Variances of Random Variables
Go over expected value or expectation. Examine the rules for means and the effect of an a + bx transformation. Look at the rules for variances (and standard deviations).
Duration: 0hr 50min
Practice: Mean and Variances of Random Variables
Go over expected value or expectation. Examine the rules for means and the effect of an a + bx transformation. Look at the rules for variances (and standard deviations).
Duration: 0hr 30min
Practice: Computing Means and Variances
Apply your knowledge of how to compute means and variances.
Duration: 1hr Scoring: 25 points
Quiz: Games and Real-World Problems
Answer questions that require you to apply probability rules to problems and games.
Duration: 0hr 50min Scoring: 10 points
 
LESSON 6: REVIEW AND EXAM
Discuss: What Is Interesting? What Is Confusing?
Discuss probability, including conditional probabilities, probabilities of combined events, probability distributions, and means and variances of random variables, and any concepts about which you are unsure.
Duration: 0hr 30min Scoring: 10 points
Review: Probability
Review your studies of probability.
Duration: 3hr 30min
Review: AP Statistics
Review your studies of basic statistics.
Duration: 4hr
Exam: AP Statistics
Take a test about basic statistics.
Duration: 2hr Scoring: 200 points
 
LESSON 7: DIAGNOSTIC
Diagnostic: Probability
Test your understanding of the key concepts covered.
Duration: 0hr 45min Scoring: 39 points

UNIT 6: BINOMIALS AND DISTRIBUTIONS

LESSON 1: INTRODUCTION TO INFERENTIAL STATISTICS
Study: Introduction to Inferential Statistics
Explore an overview of intervals, significance, inference and various applications.
Duration: 0hr 50min
Practice: Introduction to Inferential Statistics
Explore an overview of intervals, significance, inference and various applications.
Duration: 0hr 30min
Discuss: Uses of Inferential Statistics
Discuss how and where you've seen inferential statistics used.
Duration: 0hr 30min Scoring: 10 points
 
LESSON 2: BINOMIAL DISTRIBUTIONS
Study: Binomial Situations (Events)
Consider the definition of a binomial setting, and use the binomial calculations to solve problems. Examine binomial settings involving at least, at most, and between. Explore the TI-83 to do binomial problems.
Duration: 0hr 50min
Practice: Binomial Situations (Events)
Consider the definition of a binomial setting, and use the binomial calculations to solve problems. Examine binomial settings involving at least, at most, and between. Explore the TI-83 to do binomial problems.
Duration: 0hr 30min
Quiz: Binomial Settings and Binomial Probabilities
Solve binomial problems with and without the TI-83.
Duration: 1hr Scoring: 10 points
Study: The Normal Approximation to the Binomial
Consider the normal approximation to the binomial distribution. Explore the cumbersome nature of calculating binomial probabilities exactly. Look at continuity correction.
Duration: 0hr 50min
Practice: The Normal Approximation to the Binomial
Consider the normal approximation to the binomial distribution. Explore the cumbersome nature of calculating binomial probabilities exactly. Look at continuity correction.
Duration: 0hr 30min
Quiz: Binomial Problems
Work on binomial problems and consider the criteria for using the normal approximation. Compare answers obtained with the normal approximation to the binomial to those obtained with the exact binomial.
Duration: 1hr Scoring: 10 points
Practice: Binomial Problems Using Two Methods
Work on binomial, individual, and interval problems using both the normal approximation to the binomial and, on the TI-83, the exact binomial.
Duration: 1hr Scoring: 25 points
 
LESSON 3: GEOMETRIC DISTRIBUTION
Discuss: When Are You Most Likely to Get Your First Red Candy?
Discuss average waiting-time problems.
Duration: 0hr 30min Scoring: 10 points
Study: Geometric Probability Distributions
Look at geometric distributions. These are skewed distributions modeling the probability of getting doubles before a certain roll of dice, or the average waiting-time to get a certain answer to a polling question.
Duration: 0hr 50min
Practice: Geometric Probability Distributions
Look at geometric distributions. These are skewed distributions modeling the probability of getting doubles before a certain roll of dice, or the average waiting-time to get a certain answer to a polling question.
Duration: 0hr 30min
Quiz: Geometric Distribution Problems
Consider geometric distribution problems with and without the TI-83.
Duration: 1hr Scoring: 10 points
 
LESSON 4: SAMPLING DISTRIBUTIONS: MEANS AND PROPORTIONS
Discuss: Which Is More Likely?
Consider the question, "Which is more likely, that the next person you see will be taller than 6' 6 or that the next five people you see will have an average height above 6' 6?"
Duration: 0hr 30min Scoring: 10 points
Study: Sampling Distributions and the Central Limit Theorem
Go over sampling distributions and the sampling distribution of a sample mean. Study the mean and standard deviation of the sampling distribution of the mean. Explore the Central Limit Theorem.
Duration: 0hr 50min
Practice: Sampling Distributions and the Central Limit Theorem
Go over sampling distributions and the sampling distribution of a sample mean. Study the mean and standard deviation of the sampling distribution of the mean. Explore the Central Limit Theorem.
Duration: 0hr 30min
Practice: Sampling Distributions
Practice using the Central Limit Theorem to predict the means, standard deviations, and shapes of sampling distributions.
Duration: 1hr
Practice: Sampling Distributions
Use the TI-83 to create sampling distributions. Calculate their means and standard deviations.
Duration: 1hr Scoring: 25 points
Study: Sample Proportions
Look at the derivation of the mean and standard deviation of a sample proportion, based on the binomial.
Duration: 0hr 50min
Practice: Sample Proportions
Look at the derivation of the mean and standard deviation of a sample proportion, based on the binomial.
Duration: 0hr 30min
Practice: Sampling Distribution of p-Hat
Work on problems based on the mean and standard deviation of a sampling distribution of p-hat. Get additional practice dealing with the sampling distribution of means.
Duration: 1hr Scoring: 25 points
Quiz: Important Concepts From This Unit
Review the concepts of sampling distribution, the Central Limit Theorem, and sampling distributions for the sample mean and p-hat.
Duration: 1hr Scoring: 10 points
 
LESSON 5: UNIT WRAP-UP
Discuss: What Is Interesting? What Is Confusing?
Discuss concepts you find interesting or confusing in an informal setting.
Duration: 0hr 30min Scoring: 10 points
Review: Binomial Situations and Sampling Distributions
Review your studies of binomial situations and sampling distributions.
Duration: 3hr 30min
Test (TS): Binomial Situations and Sampling Distributions
Take a 50-minute test covering inferential statistics, binomial distributions, geometric distribution, and means and proportions.
Duration: 0hr 50min Scoring: 100 points
 
LESSON 6: DIAGNOSTIC
Diagnostic: Binomial Situations and Sampling Distributions
Test your understanding of the key concepts covered.
Duration: 0hr 45min Scoring: 31 points

UNIT 7: INTRODUCTION TO INFERENCE

LESSON 1: CONFIDENCE INTERVALS FOR MEANS
Discuss: Guessing an Estimate
Discuss how comfortable you are with guessing numbers within certain intervals. As the intervals widen, does your comfort level increase?
Duration: 0hr 30min Scoring: 10 points
Study: Using Sample Means to Estimate Population Means
Consider how to estimate the mean of a population using a sample. Examine confidence intervals and the general form of a confidence interval. Find critical z-values for various confidence levels by using tables and the TI-83 InvNorm function.
Duration: 0hr 50min
Practice: Using Sample Means to Estimate Population Means
Consider how to estimate the mean of a population using a sample. Examine confidence intervals and the general form of a confidence interval. Find critical z-values for various confidence levels by using tables and the TI-83 InvNorm function.
Duration: 0hr 30min
Quiz: Confidence Intervals
Estimate population means, creating 95% and 99% confidence z-intervals for means. Find critical z-values for non-standard confidence levels.
Duration: 1hr Scoring: 10 points
Practice: Confidence Intervals
Build an understanding of the term statistical confidence.
Duration: 1hr
Quiz: Finding Desired Sample Sizes
Look at how to find the desired sample size to create a z-interval with a given margin of error and confidence level. Consider the relationship between sample size, confidence level, and margin of error.
Duration: 1hr Scoring: 10 points
Practice: Creating Intervals
Create intervals for means using the formula and the TI-83 STAT TESTS function. Calculate the sample size n necessary to produce a given margin of error and a certain confidence level.
Duration: 1hr Scoring: 25 points
 
LESSON 2: STATISTICAL SIGNIFICANCE AND P-VALUE
Discuss: How Good Is the Guess?
Discuss the following scenario: A psychic says she knows what time of day you were born. She tells you her guess and she's right! How would you quantify how good her guess is?
Duration: 0hr 30min Scoring: 10 points
Study: The Definition of P-Value
Explore the concepts of statistical significance and significance levels. Consider what it means to say that a finding is different enough from what was expected that we can reject it as chance variation.
Duration: 0hr 50min
Practice: The Definition of P-Value
Explore the concepts of statistical significance and significance levels. Consider what it means to say that a finding is different enough from what was expected that we can reject it as chance variation.
Duration: 0hr 30min
Quiz: Working With P-Values and Statistical Significance
Find P-values for different distributions. Determine statistical significance.
Duration: 1hr Scoring: 10 points
 
LESSON 3: SIGNIFICANCE AND HYPOTHESIS TESTING: MEANS
Discuss: What Is an Impressive Prediction?
Look at cases where people make successful predictions. How do you know whether the successful prediction was just luck?
Duration: 0hr 30min Scoring: 10 points
Study: The Hypothesis-Testing Procedure
Look at the hypothesis-testing procedure and null and alternative hypotheses. Consider one- and two-sided hypotheses, and how to compute a P-value.
Duration: 0hr 50min
Practice: The Hypothesis-Testing Procedure
Look at the hypothesis-testing procedure and null and alternative hypotheses. Consider one- and two-sided hypotheses, and how to compute a P-value.
Duration: 0hr 30min
Practice: Hypothesis Tests for Means
Perform hypothesis tests for means and then support the conclusion.
Duration: 1hr
Practice: More Hypothesis Tests for Means
Apply your knowledge of significance and hypothesis testing to answer the questions in this Assignment.
Duration: 1hr Scoring: 25 points
Study: Two-Sided Significance Tests and Confidence Intervals
Consider the relationship between two-tailed significance tests and confidence intervals. See examples of how a confidence interval for means can solve a two-tailed significance test for means.
Duration: 0hr 50min
Practice: Two-Sided Significance Tests and Confidence Intervals
Consider the relationship between two-tailed significance tests and confidence intervals. See examples of how a confidence interval for means can solve a two-tailed significance test for means.
Duration: 0hr 30min
Quiz: Two-Sided Significance Tests and Confidence Intervals
Work on parallel problems: a confidence interval and its corresponding significance test. Observe that the same conclusions are reached with each method.
Duration: 1hr Scoring: 10 points
 
LESSON 4: ERRORS IN HYPOTHESIS TESTING
Discuss: Innocent or Guilty?
Discuss the following scenario: A person is on trial. If your hypothesis is that the person is innocent, what kinds of errors can you make if you declare the person guilty or innocent?
Duration: 0hr 30min Scoring: 10 points
Study: The Power of the Test, Type I and Type II Errors
Look at two types of errors in hypothesis testing. Consider several concepts, including the power of a test, the relationship between significance level and a Type I error, and the relationship between power and a Type II error.
Duration: 0hr 50min
Practice: The Power of the Test, Type I and Type II Errors
Look at two types of errors in hypothesis testing. Consider several concepts, including the power of a test, the relationship between significance level and a Type I error, and the relationship between power and a Type II error.
Duration: 0hr 30min
Practice: Dangers of Type I and Type II Errors
Look at various situations and determine the dangers inherent in making Type I and Type II errors.
Duration: 1hr
Practice: Computing Probabilities for Type I and Type II Errors
Look at hypothesis-testing situations and compute the probabilities of Type I errors, Type II errors, and the power of the test. Emphasis is on the concepts of errors and power rather than on computation, although some computation will be done.
Duration: 1hr Scoring: 25 points
Quiz: Concepts of Hypothesis and Significance Testing
Test of your understanding of concepts such as point estimate, P-value, null hypothesis, alternative hypothesis, statistical significance, result, conclusion, one-tailed, two-tailed, Type I and Type II errors.
Duration: 1hr Scoring: 10 points
 
LESSON 5: UNIT WRAP-UP
Discuss: What Is Interesting? What Is Confusing?
Discuss concepts you find interesting or confusing in an informal setting.
Duration: 0hr 30min Scoring: 10 points
Review: Introduction to Inference: Confidence Intervals and Hypothesis Testing
Review your studies of confidence intervals and hypothesis testing.
Duration: 3hr 30min
Test (TS): Introduction to Inference: Confidence Intervals and Hypothesis Testing
Take a 50-minute test covering confidence intervals for means, statistical significance and P-value, means, and errors in hypothesis testing.
Duration: 0hr 50min Scoring: 100 points
 
LESSON 6: DIAGNOSTIC
Diagnostic: Introduction to Inference: Confidence Intervals and Hypothesis Testing
Test your understanding of the key concepts covered.
Duration: 0hr 45min Scoring: 36 points

UNIT 8: T DISTRIBUTION FOR MEANS

LESSON 1: CONFIDENCE INTERVALS AND HYPOTHESIS TESTING FOR A SINGLE MEAN
Study: The t Distributions
Examine what to do when you don't know the population standard deviation. Look at the important assumptions necessary to use the t distribution and notice how to use the t tables and the TI-83 for the t distribution.
Duration: 0hr 50min
Practice: The t Distributions
Examine what to do when you don't know the population standard deviation. Look at the important assumptions necessary to use the t distribution and notice how to use the t tables and the TI-83 for the t distribution.
Duration: 0hr 30min
Practice: Creating Confidence Intervals
Create 90%, 95%, and 99% confidence t intervals for means. Practice doing this using the TI-83.
Duration: 1hr
Quiz: Concepts Relating to Confidence t Intervals
Create t intervals for means using the formula and the TI-83 STAT TESTS function. Calculate the sample size n needed to produce a given margin of error and a certain confidence level.
Duration: 1hr Scoring: 10 points
Practice: Hypothesis Testing With the t Distribution
Follow the steps for conducting hypothesis tests (both one- and two-sided) using the t distribution. Consider the relationship between confidence intervals and significance tests. Look at power and Type I and Type II errors.
Duration: 1hr
Practice: t Intervals and Hypothesis Tests
Apply the calculations for t intervals and hypothesis tests from start to finish using realistic data sets. Justify use of the t procedures.
Duration: 1hr Scoring: 25 points
 
LESSON 2: CONFIDENCE INTERVALS FOR THE DIFFERENCE BETWEEN TWO MEANS
Study: Inference for Matched-Pairs Situations
Look at when data should and should not be analyzed as a matched-pairs situation. Explore the hypothesis-testing procedures and t intervals for matched-pairs data.
Duration: 0hr 50min
Practice: Inference for Matched-Pairs Situations
Look at when data should and should not be analyzed as a matched-pairs situation. Explore the hypothesis-testing procedures and t intervals for matched-pairs data.
Duration: 0hr 30min
Quiz: Matched Pairs or Not?
Identify situations in which it's appropriate to use matched-pairs analysis.
Duration: 1hr Scoring: 10 points
Practice: t Intervals and Hypothesis Tests With Matched Pairs Data
Look at how to use TI-83 LISTS and STAT TESTS to create confidence intervals and to conduct hypothesis tests for paired data.
Duration: 1hr
Quiz: Matched Pairs Confidence Intervals and t Tests
Solve problems using matched-pairs t tests.
Duration: 1hr Scoring: 10 points
 
LESSON 3: CONFIDENCE INTERVALS AND HYPOTHESIS TESTS FOR TWO INDEPENDENT SAMPLES
Study: t Intervals for Two Independent Samples
Use t intervals for two independent samples, and compute degrees of freedom using the conservative method, the software method, and pooled variances.
Duration: 0hr 50min
Practice: t Intervals for Two Independent Samples
Use t intervals for two independent samples, and compute degrees of freedom using the conservative method, the software method, and pooled variances.
Duration: 0hr 30min
Quiz: t Intervals for Two Independent Samples
Compute and interpret t intervals for two independent samples.
Duration: 1hr Scoring: 10 points
Practice: t Intervals for Two Independent Samples
Practice techniques taught in this lesson. Create 90%, 95%, and 99% confidence t intervals for mean differences when the population standard deviation is unknown. Use a table to produce critical t values.
Duration: 1hr Scoring: 25 points
Study: Hypothesis Test for the Difference of Two Independent Samples
Look at how to do significance testing for the difference of two independent samples. Compare different methods for computing degrees of freedom, including the conservative method, pooling variances, and software.
Duration: 0hr 50min
Practice: Hypothesis Test for the Difference of Two Independent Samples
Look at how to do significance testing for the difference of two independent samples. Compare different methods for computing degrees of freedom, including the conservative method, pooling variances, and software.
Duration: 0hr 30min
Quiz: Two-Sample t Tests
Work on two-sample t tests using the formula, tables, and the TI-83. Compare results using different degrees of freedom.
Duration: 1hr Scoring: 10 points
Practice: More Two-Sample t Tests
Work on two-sample t tests for means, using the formula and tables. Solve the same problems using confidence intervals.
Duration: 1hr
Quiz: Confidence Intervals and Significance Testing for Means
Test your understanding of various significance tests. Review uses of confidence intervals.
Duration: 1hr Scoring: 10 points
 
LESSON 4: UNIT WRAP-UP
Discuss: What Is Interesting? What Is Confusing?
Discuss concepts you find interesting or confusing in an informal setting.
Duration: 0hr 30min Scoring: 10 points
Review: t Distribution for Means
Review your studies of t distribution for means.
Duration: 3hr 30min
Test (TS): t Distribution for Means
Take a 50-minute test covering confidence intervals and hypothesis testing for a single mean and for two independent samples, and the difference between two means.
Duration: 0hr 50min Scoring: 100 points
 
LESSON 5: DIAGNOSTIC
Diagnostic: t Distribution for Means
Test your understanding of the key concepts covered.
Duration: 0hr 45min Scoring: 37 points

UNIT 9: INFERENCE FOR PROPORTIONS

LESSON 1: CONFIDENCE INTERVALS AND HYPOTHESIS TESTS FOR A SINGLE POPULATION PROPORTION
Study: Confidence Interval for a Single Population Proportion
Look at confidence intervals for a single population proportion and sample size for a given margin of error.
Duration: 0hr 50min
Practice: Confidence Interval for a Single Population Proportion
Look at confidence intervals for a single population proportion and sample size for a given margin of error.
Duration: 0hr 30min
Practice: Creating z-Intervals for a Single Population Proportion
Create 90%, 95%, and 99% z-intervals for problems using the formula and table or the InvNorm function on the TI-83.
Duration: 1hr
Quiz: Finding the Sample Size for a Given Margin of Error for a Single Population Proportion
Practice finding the sample size for a given margin of error.
Duration: 1hr Scoring: 10 points
Practice: Confidence Intervals for a Single Population Proportion
Apply various techniques to solve problems and create intervals for proportions using the formula and the TI-83 STAT TESTS function. Calculate the sample size n needed to produce a given confidence interval.
Duration: 1hr Scoring: 25 points
Study: Significance Testing for Proportions
Examine one- and two-tailed significance-testing problems.
Duration: 0hr 50min
Practice: Significance Testing for Proportions
Examine one- and two-tailed significance-testing problems.
Duration: 0hr 30min
Practice: One- and Two-Tailed Significance Tests for a Single Population Proportion
Perform one- and two-tailed significance tests for proportions. Work on parallel problems: a confidence interval for proportions and its corresponding two-tailed significance test. Justify that the conclusions match.
Duration: 1hr
Quiz: More One- and Two-Tailed Significance Tests for a Single Population Proportion
Perform one- and two-tailed significance tests for proportions.
Duration: 1hr Scoring: 10 points
 
LESSON 2: THE DIFFERENCE BETWEEN TWO PROPORTIONS
Study: Differences Between Two Proportions
Look at confidence intervals and significance testing for the difference between two proportions. Compare differences in computation of standard error. Study how to use the TI-83 to test for a difference between two proportions.
Duration: 0hr 50min
Practice: Differences Between Two Proportions
Look at confidence intervals and significance testing for the difference between two proportions. Compare differences in computation of standard error. Study how to use the TI-83 to test for a difference between two proportions.
Duration: 0hr 30min
Practice: Differences Between Two Proportions
Create 90%, 95%, and 99% confidence intervals and do significance tests for the differences between proportions.
Duration: 1hr Scoring: 25 points
Practice: Significance Tests for One and Two Proportions
Choose confidence intervals and do significance tests on one- and two-proportion problems.
Duration: 1hr
Quiz: Inference for Means and Proportions
Identify elements of confidence intervals or significance tests needed in a variety of situations.
Duration: 1hr Scoring: 10 points
 
LESSON 3: UNIT WRAP-UP
Discuss: What Is Interesting? What Is Confusing?
Discuss concepts you find interesting or confusing in an informal setting.
Duration: 0hr 30min Scoring: 10 points
Review: Inference for Proportions
Review your studies of inference for proportions.
Duration: 3hr 30min
Test (TS): Inference for Proportions
Take a 50-minute test covering confidence intervals and hypothesis tests for a single population proportion and the difference between two proportions.
Duration: 0hr 50min Scoring: 100 points
 
LESSON 4: DIAGNOSTIC
Diagnostic: Inference for Proportions
Test your understanding of the key concepts covered.
Duration: 0hr 45min Scoring: 34 points

UNIT 10: INFERENCE FOR TABLES AND LEAST-SQUARES

LESSON 1: ONE-WAY TABLES: CHI-SQUARE FOR GOODNESS-OF-FIT
Discuss: Roll of the Die
Discuss the following scenario: You're given the results of a single die rolled 60 times: how many ones, twos, threes, and so on came up? Try to decide if the die is fair. (How far can outcomes deviate from what's expected by chance alone?)
Duration: 0hr 30min Scoring: 10 points
Study: Chi-Square for Goodness-of-Fit
Explore inference for univariate categorical data. Look at the chi-square statistic and the chi-square distribution, how to use them to test whether data fit expected values, and the assumptions needed to use the chi-square statistic.
Duration: 0hr 50min
Practice: Chi-Square for Goodness-of-Fit
Explore inference for univariate categorical data. Look at the chi-square statistic and the chi-square distribution, how to use them to test whether data fit expected values, and the assumptions needed to use the chi-square statistic.
Duration: 0hr 30min
Practice: Goodness-of-Fit on the TI-83
Use the lists on the TI-83 to compute a chi-square value for goodness-of-fit.
Duration: 1hr
Quiz: Using Chi-Square for Goodness-of-Fit
Perform chi-square significance tests involving goodness-of-fit on problems involving dice, spinners, birthdays in different months, and the like.
Duration: 1hr Scoring: 10 points
 
LESSON 2: TWO-WAY TABLES: CHI-SQUARE FOR ASSOCIATION OR INDEPENDENCE
Study: Expected Values as an Ideal for Independence
Study inference for bivariate categorical data in two-way tables. Look at the chi-square test for association or independence and the assumptions needed to use the test.
Duration: 0hr 50min
Practice: Expected Values as an Ideal for Independence
Study inference for bivariate categorical data in two-way tables. Look at the chi-square test for association or independence and the assumptions needed to use the test.
Duration: 0hr 30min
Practice: Chi-Square Hypothesis Tests for Association or Independence
Perform complete chi-square hypothesis tests for association or independence. Look at the assumptions needed to use chi-square.
Duration: 1hr Scoring: 25 points
 
LESSON 3: INFERENCE FOR THE LEAST-SQUARES LINE
Study: Inference for the Least-Squares Line
Explore the linear regression line for a sample as an estimator of the least-square line for a population. Study and use the standard error of the slope, and the t test for the slope of a regression line.
Duration: 0hr 50min
Practice: Inference for the Least-Squares Line
Explore the linear regression line for a sample as an estimator of the least-square line for a population. Study and use the standard error of the slope, and the t test for the slope of a regression line.
Duration: 0hr 30min
Quiz: t Test for the Slope of the Regression Line
Choose a linear regression line from paired data as an estimate of the population regression line. Do t tests for the slope of the regression line.
Duration: 1hr Scoring: 10 points
Practice: TI-83 and MINITAB Output for Inference for the Least-Squares Line
Practice doing a t test on your TI-83 for the slope of the regression line. Look at how to read MINITAB output for regression.
Duration: 1hr
Practice: Inference for the Least-Squares Line
Given paired data, do a hypothesis test for the slope of the regression line using the TI-83. Read MINITAB output for regression and use this for a hypothesis test for the slope of the regression line.
Duration: 1hr Scoring: 25 points
 
LESSON 4: UNIT WRAP-UP
Discuss: What Is Interesting? What Is Confusing?
Discuss concepts you find interesting or confusing in an informal setting.
Duration: 0hr 30min Scoring: 10 points
Review: Inference for One- and Two-Way Tables and for Least-Squares Lines
Review your studies of inference for one- and two-way tables and for least square lines.
Duration: 3hr 30min
Test (TS): Inference for One- and Two-Way Tables and for Least-Squares Lines
Take a 50-minute test covering one-way tables, two way tables, and inference for the least-squares line.
Duration: 0hr 50min Scoring: 100 points
 
LESSON 5: DIAGNOSTIC
Diagnostic: Inference for One- and Two-Way Tables and for Least-Squares Lines
Test your understanding of the key concepts covered.
Duration: 0hr 45min Scoring: 35 points

 UNIT 11: FINAL PREPARATION FOR THE AP STATISTICS EXAM

LESSON 1: GENERAL PREPARATION STRATEGIES
Study: How to Prepare for the AP Statistics Exam
Study how to assess where you are in your preparations for the Exam, and plan how to best prepare based on your self-assessment.
Duration: 0hr 50min
Practice: Action Plan
Write an action plan for preparing for the AP Statistics Exam.
Duration: 1hr Scoring: 25 points
Discuss: Statistics as a Cohesive Whole
Create a map that ties together the concepts covered in the statistics course. Discuss an example of how statistics is used, and list the most important concepts from the statistics course used in your example.
Duration: 1hr Scoring: 10 points
Quiz: Interpreting MINITAB Output
Review how MINITAB or other software packages may be used on the AP Exam.
Duration: 2hr Scoring: 10 points
 
LESSON 2: STRATEGIES AND PRACTICE FOR MULTIPLE-CHOICE AND FREE-RESPONSE QUESTIONS
Quiz: AP-Style Multiple-Choice Questions, Part 1
Practice answering AP-style multiple-choice questions.
Duration: 2hr 30min Scoring: 20 points
Practice: AP-Style Free-Response Practice, Part 1
Practice with AP-style free-response questions and study how they are scored.
Duration: 2hr 30min
Quiz: AP-Style Multiple-Choice Questions, Part 2
Practice Answering AP-style multiple-choice questions.
Duration: 2hr 30min Scoring: 20 points
Practice: AP-Style Free-Response Practice, Part 2
More practice with AP-style free-response questions.
Duration: 2hr 30min
 
LESSON 3: PUTTING IT TOGETHER: PRACTICE EXAM AND MIXED PRACTICE
Practice: Full-Length Practice Exam
Take a full-length practice exam and study how AP Exams are scored by scoring yourself.
Duration: 5hr Scoring: 25 points
Practice: Mixed Practice with Multiple-Choice and Free-Response Questions
Answer items similar to the practice exam (the format is different and you don't need to do it in one sitting).
Duration: 5hr
Study: Final Wrap-Up for AP Exam
Take note of some things to think about on the Exam. Apply some final preparation suggestions.
Duration: 0hr 50min
 
LESSON 4: FINAL EXAM
Final Exam: AP Statistics
Take the Final Exam. Good luck!
Duration: 3hr 5min Scoring: 200 points
 
LESSON 1: TEST-TAKING TIPS
 
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