Examples and practice
Sampling and the sample mean
Back to lessonPractice section 1 · Questions 1–6
Select thirty distinct students fairly · Estimate mean and variance from seven raw values · +4 more
Practice section 2 · Questions 7–12
Separate a binomial mean approximation from its exact total · Approximate mean daily wine production · +4 more
- Separate a binomial mean approximation from its exact total
- Approximate mean daily wine production
- Compare two independent sample means
- Estimate a population, then qualify a plug-in tail probability
- Estimate population mean and variance from a frequency table
- Use raw and shifted summaries for unbiased estimates
Practice section 3 · Questions 13–18
Separate individual observations from a normal sample mean · Combine normal observations and choose a minimum sample size · +4 more
- Separate individual observations from a normal sample mean
- Combine normal observations and choose a minimum sample size
- Distinguish CLT estimates from exact probabilities and strict thresholds
- Choose a sample size from an exact normal mean distribution
- Translate between a sample mean and a total
- Estimate emissions mean and variance from test data
Practice section 4 · Questions 19–24
Define a random sample and use shifted totals · Approximate a binomial sample mean and track its endpoints · +4 more
- Define a random sample and use shifted totals
- Approximate a binomial sample mean and track its endpoints
- Distinguish a binomial tail from a CLT mean tail
- Find a binomial game limit and a daily-average probability
- Align clock times before comparing normal travel times
- Infer a normal standard deviation from symmetric tail areas
Practice section 5 · Questions 25–27
Recover normal parameters and combine independent masses · Find a repeat-draw distribution and approximate its sample mean · +1 more