# Topic Questions: 3.6 Use of Central Limit theorem to extend hypothesis tests and confidence intervals to samples from non-Normal distributions. Use of large sample results to extend to the case in which the variance is unknown. — WST03 Estimation, confidence intervals and tests > 38 WST03 Estimation, confidence intervals and tests topic questions (96 marks) on 3.6 Use of Central Limit theorem to extend… — 19 papers, 2015–2026. Open… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-6-use-of-central-limit-theorem-to-extend-hypothesis-tests-and-confidence-intervals/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-6-use-of-central-limit-theorem-to-extend-hypothesis-tests-and-confidence-intervals/index.md --- Edexcel IAL · Mathematics · WST03 · Estimation, confidence intervals and tests 38 WST03 Estimation, confidence intervals and tests topic questions are tagged to this syllabus point across 19 papers (2015–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved. - 38 topic questions - 19 papers - 96 tagged marks - 21.0% of topic questions - 16.4% of topic marks - 2015–2026 - Syllabus 2014–current - [All WST03 Estimation, confidence intervals and tests topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This Estimation, confidence intervals and tests syllabus point appears in 19 WST03 papers across 2015–2026, contributing 38 topic questions and 96 marks.** The most recent appearance is WST03/01 January 2026. That equals 21.0% of the 181 topic questions and 16.4% of the 587 marks tagged to Estimation, confidence intervals and tests. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history. ## Topic questions by session Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use **Go to Practice Hub** to answer that exact question in the Interactive Practice Hub. | Paper | Question | Type | Parts | Marks | Difficulty | Practice | | --- | --- | --- | --- | --- | --- | --- | | [**WST03/01** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2026-january-wst03-01/#q-5) | **Q5** Two-sample Hypothesis Test for Means - Jan 2026 Q5 | FRQ | 1 of 3 parts ((c)) | 2 of 12 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c812093d-e97c-4379-b76c-a478305cbab6&question_id=88dfda1f-4632-4ccb-ad0d-95e0e1fbc30c&source_detail=WST03%2F01+January+2026) | | [**WST03/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2026-january-wst03-02/#q-6) | **Q6** Stratified Sampling and Hypothesis Testing for Difference of Means - Edexcel IAL Statistics S3 Jan 2026 Q6 | FRQ | 1 of 7 parts ((d)) | 2 of 17 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=15320329-0312-440a-9ea2-5426882898dc&question_id=8ad07acf-5446-4a2f-abbb-656e63477174&source_detail=WST03%2F02+January+2026) | | [**WST03/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2025-june-wst03-01/#q-4) | **Q4** Two-Sample Hypothesis Test for Means - Edexcel IAL S3 2025 Jun Q4 | FRQ | 1 of 3 parts ((a)) | 3 of 11 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=94cad3c8-49e2-4f35-aae5-7bd545f67979&question_id=b1d9bebf-8e3a-4d95-8edd-c4a95a90f963&source_detail=WST03%2F01+June+2025) | | [**WST03/01** January 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2025-january-wst03-01/#q-3) | **Q3** Difference of Two Means Hypothesis Test - Edexcel IAL Statistics S3 Jan 2025 Q3 | FRQ | 1 of 3 parts ((c)) | 2 of 12 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=853580e1-727a-45a9-8743-c66473684646&question_id=905661e5-0b72-44d1-8d5b-d288a1507f90&source_detail=WST03%2F01+January+2025) | | [**WST03/01** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2024-june-wst03-01/#q-5) | **Q5** Two-Sample Hypothesis Test for Means - Edexcel IAL Statistics S3 2024 Jun Q5 | FRQ | 1 of 3 parts ((b)) | 2 of 14 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f7f0aa45-9c3a-48d2-90cb-e489f43a4093&question_id=2f2d73fe-0abf-429c-82a7-5f865a720b63&source_detail=WST03%2F01+June+2024) | | [**WST03/01** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2024-june-wst03-01/#q-7) | **Q7** Central Limit Theorem and Confidence Intervals - Edexcel IAL Statistics S3 2024 Jun Q7 | FRQ | 2 parts ((a), (b)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f7f0aa45-9c3a-48d2-90cb-e489f43a4093&question_id=513b2fc6-6393-436f-bb2f-aa1534fb6ad9&source_detail=WST03%2F01+June+2024) | | [**WST03/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2024-january-wst03-01/#q-5) | **Q5** Two-Sample Mean Hypothesis Test - Edexcel IAL Statistics S3 January 2024 Q5 | FRQ | 1 of 2 parts ((b)) | 2 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=385c0d2e-f99e-4051-b5a8-679eaf2f864e&question_id=57bb3661-988d-4ecc-840a-464469e442e6&source_detail=WST03%2F01+January+2024) | | [**WST03/01** June 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2023-june-wst03-01/#q-6) | **Q6** Two-Sample Hypothesis Test for Means - Edexcel IAL Statistics S3 2023 Jun Q6 | FRQ | 1 of 4 parts ((c)) | 2 of 13 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f10190ac-6670-43f0-92b5-301108969921&question_id=fd7e275f-deec-4304-a25e-2a6aba6fe0f8&source_detail=WST03%2F01+June+2023) | | [**WST03/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2023-january-wst03-01/#q-1) | **Q1** Unbiased Estimation and Hypothesis Testing - Edexcel IAL S3 Jan 2023 Q1 | FRQ | 3 of 6 parts ((c), (d), (e)) | 7 of 12 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=37dceb98-c4fd-4068-a019-f82d1480719f&question_id=24e850e4-ed1c-4e44-8e46-33c98ffa0806&source_detail=WST03%2F01+January+2023) | | [**WST03/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2023-january-wst03-01/#q-6) | **Q6** Confidence Intervals and Central Limit Theorem - Edexcel IAL S3 Jan 2023 Q6 | FRQ | 1 of 4 parts ((b)) | 1 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=37dceb98-c4fd-4068-a019-f82d1480719f&question_id=c8658d10-c657-4c99-a2eb-a7fc6cbf022c&source_detail=WST03%2F01+January+2023) | | [**WST03/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2022-june-wst03-01/#q-2) | **Q2** Estimation, Confidence Intervals and Tests - Edexcel IAL Statistics S3 2022 Jun Q2 | FRQ | 2 of 3 parts ((a), (c)) | 4 of 11 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b832a197-23cc-4a97-840e-3d725c593e54&question_id=9c1af90d-51c6-4ff3-8f10-53ff82fff4bc&source_detail=WST03%2F01+June+2022) | | [**WST03/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2022-june-wst03-01/#q-4) | **Q4** Continuous Uniform Distribution and CLT - Edexcel IAL Statistics S3 2022 Jun Q4 | FRQ | 2 of 4 parts ((c), (d)) | 6 of 10 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b832a197-23cc-4a97-840e-3d725c593e54&question_id=6cd66fc9-57d2-4a6b-9244-0845306cfe40&source_detail=WST03%2F01+June+2022) | | [**WST03/01** January 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2022-january-wst03-01/#q-2) | **Q2** Hypothesis Test for Difference Between Two Means - Edexcel IAL S3 Jan 2022 Q2 | FRQ | 1 of 2 parts ((b)) | 1 of 8 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e83673af-bcc7-4011-b70b-99246231a2d2&question_id=c6937dc1-4f86-4ef9-92ed-743fc211ba5d&source_detail=WST03%2F01+January+2022) | | [**WST03/02** January 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2022-january-wst03-02/#q-5) | **Q5** Difference of Means and CLT - Edexcel IAL Statistics S3 Jan 2022 Q5 | FRQ | 1 of 5 parts ((c)) | 2 of 15 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6697ab5c-ec5e-4b0f-bdbb-f36fc12e93ea&question_id=2ab7da9c-5cec-4d1f-87c8-b4ea78d4ef2d&source_detail=WST03%2F02+January+2022) | | [**WST03/01** October 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2021-october-wst03-01/#q-6) | **Q6** Two-Sample Hypothesis Test for Means - Edexcel IAL Statistics S3 Oct 2021 Q6 | FRQ | 1 of 4 parts ((c)) | 1 of 12 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0df5b314-5109-4774-8589-3c3c1ab1330a&question_id=a0e7e400-3c8e-466a-9b77-b3a613784d68&source_detail=WST03%2F01+October+2021) | | [**WST03/01** June 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2021-june-wst03-01/#q-4) | **Q4** Sampling and Hypothesis Testing for Two Means - Edexcel IAL Statistics 3 June 2021 Q4 | FRQ | 1 of 6 parts ((c)) | 2 of 16 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=236fc042-3f3e-40da-86a0-4297e8748c7d&question_id=70ac294a-94bd-4fbb-9b67-494b01d94c4f&source_detail=WST03%2F01+June+2021) | | [**WST03/01** October 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2020-october-wst03-01/#q-5) | **Q5** Difference of Means Hypothesis Testing - Edexcel IAL Statistics S3 June 2020 Q5 | FRQ | 1 of 3 parts ((c)) | 2 of 12 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=603fe04f-c4c9-49f8-9768-4d978b746744&question_id=c1b7cdfd-9716-4402-9609-e10220e4c4ca&source_detail=WST03%2F01+October+2020) | | [**WST03/01** October 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2020-october-wst03-01/#q-6) | **Q6** Poisson Confidence Intervals and Central Limit Theorem - Edexcel IAL Statistics S3 June 2020 Q6 | FRQ | 2 of 3 parts ((a), (b)) | 6 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=603fe04f-c4c9-49f8-9768-4d978b746744&question_id=dff39b63-a202-46f5-9e5f-273902fc96db&source_detail=WST03%2F01+October+2020) | | [**WST03/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2019-june-wst03-01/#q-4) | **Q4** Confidence Intervals - Edexcel IAL Statistics S3 June 2019 Q4 | FRQ | 1 of 3 parts ((b)) | 1 of 6 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7627ec36-90f7-46d3-9d56-99726b95349e&question_id=47bd83d4-6c10-491d-9fca-b7ac7e5931f8&source_detail=WST03%2F01+June+2019) | | [**WST03/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2019-june-wst03-01/#q-5) | **Q5** Central Limit Theorem and Binomial Distribution - Edexcel IAL Statistics S3 June 2019 Q5 | FRQ | 1 part | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7627ec36-90f7-46d3-9d56-99726b95349e&question_id=c91b9b48-a02e-4852-8e96-4e28966ce7bd&source_detail=WST03%2F01+June+2019) | | [**WST03/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2019-june-wst03-01/#q-6) | **Q6** Hypothesis Testing - Edexcel IAL Statistics S3 June 2019 Q6 | FRQ | 2 of 4 parts ((a), (c)(ii)) | 6 of 14 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7627ec36-90f7-46d3-9d56-99726b95349e&question_id=302e15f3-5a7e-4722-a5af-379243363a87&source_detail=WST03%2F01+June+2019) | | [**WST03/01** June 2018 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2018-june-wst03-01/#q-6) | **Q6** Central Limit Theorem and Uniform Distribution - Edexcel IAL S3 June 2018 Q6 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0d954107-c51f-4452-94e2-f72761ecfcd5&question_id=36bad504-b08c-4328-a1df-539fc19bf8b6&source_detail=WST03%2F01+June+2018) | | [**WST03/01** June 2017 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2017-june-wst03-01/#q-3) | **Q3** Hypothesis Testing for Normal Mean - Edexcel IAL Statistics S3 2017 Jun Q3 | FRQ | 3 parts ((a), (b), (c)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e5791805-b821-4ba4-9d3a-cd1ac9515a3c&question_id=a2be088b-4255-421a-b2bb-2b090b6715a3&source_detail=WST03%2F01+June+2017) | | [**WST03/01** June 2016 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2016-june-wst03-01/#q-4) | **Q4** Hypothesis Testing on Two Means - Edexcel IAL S3 June 2016 Q4 | FRQ | 1 of 3 parts ((b)) | 1 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f6e82544-ef7e-4409-95e9-0f59d3bf62e3&question_id=d768011a-1a89-4674-9f32-6170a28ec064&source_detail=WST03%2F01+June+2016) | | [**WST03/01** June 2016 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2016-june-wst03-01/#q-8) | **Q8** Central Limit Theorem and Critical Regions - Edexcel IAL S3 June 2016 Q8 | FRQ | 2 parts ((a), (b)) | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f6e82544-ef7e-4409-95e9-0f59d3bf62e3&question_id=318edf82-b05b-4916-8380-21f4fb2f862b&source_detail=WST03%2F01+June+2016) | | [**WST03/01** June 2015 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2015-june-wst03-01/#q-6) | **Q6** Hypothesis Testing - Difference of Means - Edexcel IAL S3 2015 Jun Q6 | FRQ | 1 of 4 parts ((c)) | 1 of 13 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=696adb49-011e-4547-9482-ae0661c007cc&question_id=891bf10d-e1e5-4647-9ee1-5085c591c1e2&source_detail=WST03%2F01+June+2015) | | [**WST03/01** June 2015 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2015-june-wst03-01/#q-7) | **Q7** Mean and Variance of Die Rolls - Edexcel IAL S3 2015 Jun Q7 | FRQ | 1 of 2 parts ((b)) | 3 of 5 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=696adb49-011e-4547-9482-ae0661c007cc&question_id=b4c8a78a-0f54-4f86-ac6d-662bdc5751e0&source_detail=WST03%2F01+June+2015) | ## Related topic questions in Estimation, confidence intervals and tests - [3.1 Concepts of standard error, estimator, bias.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-1-concepts-of-standard-error-estimator-bias/) — 58 question items · 19 papers — 149 marks · 2014–2026 - [3.2 The distribution of the sample mean $\overline{X}$.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-2-the-distribution-of-the-sample-mean-overline-x/) — 24 question items · 14 papers — 88 marks · 2014–2026 - [3.3 Concept of a confidence interval and its interpretation.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-3-concept-of-a-confidence-interval-and-its-interpretation/) — 23 question items · 16 papers — 75 marks · 2015–2026 - [3.4 Confidence limits for a Normal mean, with variance known.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-4-confidence-limits-for-a-normal-mean-with-variance-known/) — 30 question items · 18 papers — 123 marks · 2015–2026 - [3.5 Hypothesis tests for the mean of a Normal distribution with variance known.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-5-hypothesis-tests-for-the-mean-of-a-normal-distribution-with-variance-known/) — 7 question items · 7 papers — 27 marks · 2016–2024 - [3.7 Hypothesis test for the difference between the means of two Normal distributions with variances known.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-7-hypothesis-test-for-the-difference-between-the-means-of-two-normal-distributions/) — 18 question items · 14 papers — 103 marks · 2016–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 27 question stems cover this subtopic across 19 papers, but only 38 tagged parts and 96 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page. **Which papers include this subtopic?** The table lists every matching session from 2015–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available. **Why can one question appear under several subtopics?** The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement. **Can I practise these questions with AI marking?** Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-6-use-of-central-limit-theorem-to-extend-hypothesis-tests-and-confidence-intervals/