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- Variation in categorical and quantitative variables
- Representing data using tables or graphs
- Calculating and interpreting statistics
- Describing and comparing distributions of data
- The normal distribution
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- Comparing representations of 2 categorical variables
- Calculating statistics for 2 categorical variables
- Representing bivariate data and interpreting correlation
- Linear regression models
- Residuals and residual plots
- Departures from linearity
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- Planning a study
- Sampling Methods
- Sources of bias in sampling methods
- Designing an experiment
- Interpreting the results of an experiment
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- Using simulation to estimate probabilities
- Calculating the probability of a random event
- Random variables and probability distributions
- The geometric dsitribution
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- Variation in statistics for samples collected from the same population
- The central limit theorem
- Biased and unbiased point estimates
- Sampling distributions for sample proportions
- Sampling distributions for sample means
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- Constructing and interpreting confidence intervals for a population proportion
- Setting up and carrying out a test for a population proportion
- Interpreting a p-value and justifying a claim about a population proportion
- Type I and Type II errors in significance testing
- Confidence intervals and tests for the difference of 2 proportions
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- Constructing and interpreting a confidence interval for a population mean
- Setting up and carrying out a test for a population mean
- Interpreting a p-value and justifying a claim about a population mean
- Confidence intervals and tests for the difference of 2 population means
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- The chi-square test for goodness of fit
- The chi-square test for homogeneity
- The chi-square test for independence
- Selecting an appropriate inference procedure for categorical data
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- Confidence intervals for the slope of a regression model
- Setting up and carrying out a test for the slope of a regression model
- Selecting an appropriate inference procedure
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