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An introduction to probability through conditional probability, independence, event operations, Venn diagrams, and De Morgan’s laws.
An introduction to sampling distributions, focusing on the sampling distribution of the sample mean and the Central Limit Theorem.
An introduction to discrete probability distributions, expectation, variance, and examples spanning Bernoulli, binomial, Poisson, and related models.
Learn to construct and interpret confidence intervals for one population mean using z and t methods, including margin of error, sample size, and assumptions.
Learn pooled, Welch, and paired-difference t tests and confidence intervals for comparing two population means.
Use normal approximations to construct confidence intervals and test hypotheses for one and two population proportions.
An introduction to one-way ANOVA, covering formulas, an example, LSD confidence intervals, and p-value calculation.
Learn to fit, interpret, assess, and make inferences from simple linear regression models using least squares, residual plots, transformations, and influential-point analysis.
Learn confidence intervals and hypothesis tests for one variance and the ratio of two variances under normality.
Introduces continuous probability distributions through integration-based calculations of probabilities, percentiles, means, and variances.
An introduction to hypothesis testing through rejection regions, p-values, error types, power, and one-mean Z and t tests.
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