• Chapter 4 – Sampling

When students have completed this lesson they should be able to:

• Understand the distinction between a sample and a population
• Understand how to select a random sample from a population
• Appreciate the benefits of choosing a random sample
• Recognize that a sample mean can be a random variable and use the facts that E(x\bar) = μ and that Var(x\bar) = σ^2/n
• Use the fact that x\bar has a normal distribution if X has a normal distribution
• Understand the meaning of the central limit theorem and be able to use it in calculations

Chapter 5 – Estimation

When students have completed this lesson they should be able to:

• Understand the term ‘unbiased” with reference to an estimator of the mean or variance of a sample and be able to calculate unbiased estimates of the population mean and variance form of a sample
• Determine a confidence interval for a population mean in the case when the population is normally distributed or where a large sample is used
• Determine, from a large sample, an approximation confidence interval for a population proportion