• 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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