Cambridge AS & A Level Mathematics
6.4Sampling and estimation
Sampling and estimation in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic63 practice questions4 lessons
Learning objectives
What the syllabus expects you to be able to do.
- 6.4.1Distinguish a sample from a population and appreciate the need for randomness.
- 6.4.2Explain why a given sampling method may be unsatisfactory.
- 6.4.3Treat a sample mean as a random variable with E(X̄) = μ and Var(X̄) = σ²/n, normal when X is normal, and use the central limit theorem.
- 6.4.4Calculate unbiased estimates of population mean and variance from raw or summarised data.
- 6.4.5Determine and interpret a confidence interval for a population mean (normal with known variance, or large sample).
- 6.4.6Determine from a large sample an approximate confidence interval for a population proportion.
Lessons
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Confidence intervals for a mean and a proportion
45 min
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Populations, samples and sampling methods
40 min
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The distribution of the sample mean and the central limit theorem
45 min
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Unbiased estimates of the population mean and variance
40 min
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Sample question
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