Sampling and the Central Limit Theorem skill check
Sampling designs and allocation, bias and weighting, standard errors, the law of large numbers, the central limit theorem, the finite population correction and sample-size planning — on fresh numbers. 12 questions, 30 minutes, 70% to pass.
- Questions
- 12
- Time
- 30 min
- Pass mark
- 70%
- Retake after
- 6 h
Skills covered
Describe probability sampling designs · Choose a sampling design · Allocate a stratified sample · Draw a systematic sample · Identify sources of sampling bias · Explain and quantify nonresponse bias · Weight a sample to match the population · Describe a sampling distribution · Distinguish parameters from statistics · Calculate the standard error of a mean · Calculate the standard error of a proportion · Distinguish the SD from the SE · Apply the law of large numbers · Avoid the gambler's fallacy · Apply the central limit theorem · Judge when n is large enough for the CLT · Apply the finite population correction · Plan a sample size for a target precision · Relate sample size to precision and cost
Covers Track 6: Sampling and the Central Limit Theorem. Passing it, together with completing every lesson, earns the track certificate.
How it works
- Questions are drawn from this assessment's own bank, with numbers generated for your attempt.
- Your answers save automatically. Nothing is graded until you submit or the time runs out (the server keeps the time).
- No hints or feedback during the attempt; full worked solutions afterwards.
- You may use a calculator, the lab and your notes. The assessment is not proctored.