# AP Stats Course Outline

```AP STATISTICS Course Outline and Content
 Chapter 1: Exploring Data (Total Time: 12 Days)
1) Displaying Distributions with Graphs
a) Individuals and Variables, analyzing categorical data
b) Dotplots, stemplots, and interpretation
c) Histograms and relative cumulative frequency
d) Timeplots
2) Describing Distributions with Numbers
a) Measuring center: mean vs. median
b) Quartiles and boxplots
d) Changing units (linear transformations)
e) Comparing distributions
 Chapter 2: Normal Distributions (Total Time: 8 Days)
1) Density Curves and the Normal Distribution
a) Density curves, mean and median
b) Normal distributions &amp; 68-95-99.7 rule (Empirical rule)
2) Standard Normal Curve
a) Standardizing and the standard normal curve
b) Nonstandard normal curves
c) Assessing normality
d) Normal distributions &amp; calculations on TI-83/89
 Chapter 3: Examining Relationships (Total Time: 10 Days)
1) Scatterplots
a) Scatterplots – making and interpreting
2) Correlation
a) Correlation and facts about it
3) Least-Square Regression
a) Least squares regression facts; r 2
b) Residuals, outliers, influential observations
 Chapter 4: More on Two-Variable Data (Total Time: 12 Days)
1) Transforming Relationships
a) Transforming relationships &amp; ladder of powers
b) Exponential growth, logarithm transformations
c) Power model, log-log transformations
2) Cautions about Correlation and Regression
a) Causation, confounding, and common response
3) Relations in Categorical Data
a) Relations in categorical data: marginal
b) Conditional distributions &amp; Simpson’s Paradox
 Chapter 5: Producing Data (Total Time: 12 Days)
1) Designing Samples
a) Simple random samples &amp; other sampling methods
b) Designing surveys: cautions
2) Designing Experiments
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a) Experiments – terminology
b) Randomized comparative experiments; The principles of experimental design
c) More complex designs: blocking &amp; matched pairs
3) Simulating Experiments
a) Calculator simulations TI-83/89
Chapter 6: Probability (Total Time: 12 Days)
1) The idea of Probability
a) What is probability?
2) Probability Models
a) Probability rules – basic
b) Independence and the multiplication rule
3) General Probability Rules
b) Conditional probability &amp; Bayes’ Theorem
Chapter 7: Random Variables (Total Time: 14 Days)
1) Discrete and Continuous Random Variables
a) Introduction; discrete random variables
b) Continuous random variables – uniform &amp; normal
2) Means and Variances of Random Variables
a) Mean and variance of a discrete random variable
b) Law of large numbers; rules for means
c) Rules for variances and independence
Chapter 8: Binomial &amp; Geometric r.v.’s (Total Time: 12 Days)
1) The Binomial Distribution
a) Binomial settings
b) Calculating binomial probabilities: by formula and by calculator TI-83/89
c) Mean and standard deviation of binomial r.v.; normal approximation to the
2) binomial
a) Binomial simulations
3) The Geometric Distribution
a) Geometric setting and geometric probability
b) Properties of geometric r.v. &amp; simulations
4) 1st Semester Final Exam (Total Time: 4 Days)
Chapter 9: Sampling Distributions (Total Time: 10 Days)
1) Sampling Distributions
a) Sampling distributions: sampling variability &amp; bias
2) Sample Proportions
a) Sampling distribution of sample proportion
3) Samples Means
a) Sampling distribution of sample mean; the Central Limit Theorem
Chapter 10 Introduction to Inference (Total Time: 15 Days)
1) Estimating with Confidence
a) Estimating with confidence: connecting your thinking to the sampling
2) distribution
a) Confidence interval for population mean
b) How confidence intervals behave; choosing sample size; cautions
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3) Tests of Significance
a) Logic of significance tests; stating hypotheses
b) P-values and statistical significance
c) Carrying out a significance test; including fixed significance level tests
d) Test from a confidence interval
4) Making Sense of Statistical Significance
5) Inference as Decision
a) Concepts of Type I, Type II error &amp; power
Chapter 11: Inference for Means (Total Time: 9 Days)
1) Inference for the Mean of a Population
a) What to do when SIGMA is unknown – t Comparing two Means
b) Confidence intervals and significance tests with t
c) Matched pairs – a special case of one-sample t
d) Robustness of t procedures; calculator use
2) Comparing Two Means
a) Matched pairs vs. two independent samples
b) Comparing two population means
c) More accurate degrees of freedom from technology
Chapter 12: Inference for Proportions (Total Time: 5 Days)
1) Inference for a Population Proportion
a) Inference conditions
b) Confidence intervals and significance tests
c) Determining sample size
2) Comparing Two Proportions
a) Confidence intervals about difference in proportions
b) Significance tests about difference in proportions
Chapter 13: Inference for Distributions (Total Time: 8 Days)
1) Test for Goodness of Fit
2) Inference for Two-Way Tables
a) Chi-square test for homogeneity
b) Chi-square test for association/independence
Chapter 14: Inference for Regression (Total Time: 5 Days)