ZIMSEC A-Level Statistics
6.7.2The central limit theorem and confidence intervals
The central limit theorem and confidence intervals in ZIMSEC A-Level Statistics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic37 practice questions2 lessons
Overview
Form 6. Confidence intervals for small samples with unknown variance are taught with the t-distribution (6.8.2).
Learning objectives
What the syllabus expects you to be able to do.
- 6.7.2.1Form 6: state and use the central limit theorem, recognising the sample mean as a random variable, and identify its implications for small and large samples.
- 6.7.2.2Form 6: determine a confidence interval for a population mean for a normal population with known variance or a large sample with unknown variance.
- 6.7.2.3Form 6: determine a confidence interval for a population mean for a normal population with unknown variance from a small sample.
- 6.7.2.4Form 6: determine from a large sample an approximate confidence interval for a population proportion.
Lessons
- Full access
Confidence intervals for a mean and a proportion
45 min
- Full access
The distribution of the sample mean and the central limit theorem
45 min
Join to read every lesson, or see what Full access includes.
Sample question
A sample question on this topic. Answer it, check it, then read the worked answer.
Turn The central limit theorem and confidence intervals into a strength.
Practise with instant marking, see your mastery grow and get a study plan built around your exam date.