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Big Ideas AP Statistics (Content Area 3: Probability (Sampling…
Big Ideas AP Statistics
Content Area 1: Exploring Data
Choosing an appropriate graphical or numerical summary
Constructing and interpreting graphical and numerical summaries
Data Distributions- center, shape, spread, outlier
Bivariate data- describing linear and nonlinear relationships
Content Area 2: Designing a Study (Experimental Design)
Observational Studies vs. Experiments and the types of conclusions that can be drawn from each
Sampling
SRS
Stratified Random Sampling (AND the advantages of stratifying)
Types of bias
Designing Experiments
Importance of randomization
Blocking
Confounding
Blinding
Content Area 3: Probability
Probability as a long run relative frequency
Independence
Basic probability rules and conditional probability
Probability distributions
Discrete- binomial
Continuous- normal
Distributions of sums and differences of random variables
Estimating probabilities and probability distributions using simulation
Sampling distributions
What is it?
Why do I care?
Distribution of a sample proportion vs Distribution of a sample mean
Content Area 4: Statistical Inference
Confidence intervals and the interpretation of confidence level (including checking conditions)
Hypothesis testing
Logic
Errors
Power
Steps, including checking assumptions
For
1 mean
1 proportion
2 means (paired and independent samples)
2 proportions
Chi-square goodness of fit
Chi-square test of independence and homogeneity
slope in linear regression