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NZAMT NZQA NZ Grapher NZ Maths Census at School Study It

3.10 Inference HOME | Achievement Objectives | Overview | Statistical Cycle | Introduction & Research Question | Discussing Samples | Sample Variability | Sampling Methods | Informal Confidence Interval | Bootstrapping Confidence Interval | Comparing two populations | Using iNZight | Writing a report | Assessment Practice

AS 3.10 Use Statistical Methods to make a Formal Inference

Possible Lesson Sequence for AS 3.10 Inference (AS 91582)

Formal Inference STARTERS | web version (coming)
Class site

1. Introduction, Overview & Research Question (Achievement Criteria)
2. Discussing Sample distribution USSCSI
3. More discussing Sample distribution - using iNZight to manipulate data (see iNZight tips page)
4. More discussing Sample distribution - practice
5. Sample Variability and Sampling methods
6. Estimating population parameters from Sample Statistics. Do we think the population medians are different? (review of informal confidence intervals and their interpretation)
7. Bootstrapping - resample from a sample to generate a confidence interval (the slow way & using iNZight)
8. Comparing two populations (Using iNZight) Interpreting the confidence intervals
9. Computer room to use iNZight to generate a confidence interval for the difference between two medians
10. Writing a Statistical Report
11. Practice Assessment 1 (set research for context of assessment)
12. Practice Assessment 2
13. Practice Assessment review
14. Assessment part 1
15. Assessment part 2
16. Assessment part 3 (if needed)

Car Crash Practice:
Data set, Variable Info
Google Doc & Example Report

Assessment Checksheet Doc Class notes

For Teachers

* Be familiar with the Achievement Standard 3.10 #91582 (link to NZQA)

* Check the latest information on the NZQA clarifications page as things change all the time, and the exemplars in NZQA may be out of date (as they are in this standard)

* Look over the NZQA Exemplars on AS 3.10 Inference

* Material available on the mathstatsfacilitators web site 3.10 page

* AS 3.10 page at CENSUS at schools site.

* Check the latest comments on the NZmaths forum (login required)

* Any further ideas / suggestions / resources/ comments / errors. Please email

* AS 3.10 section on Nayland Web site updated: July 2014


AS 3.10 'Use Statistical methods to making a Formal Inference' is a 4 credit internally assessed topic AS 91582

Link to iNZight siteWe will be using iNZight to do the 'data crunching' and producing graphs and produce bootstrap intervals.

Check out the iNZight tips and tricks page.

We assume that students will have been exposed to AS 2.9 Inference
Initially we can use fictional data sets (removes issues of context restrictions for data) then progress to real life data in which the context needs to me incorporated as well.

Revision books would also be useful.


Remember: The Focus is on the statistical cycle and the discussion and interpretation of the analysis.


Web links for more material on AS 3.10 Inference (AS 91582)

Pricilla Allan's Wiki | NZ

Census at school links:
Page on 3.10 Formal Inference | Key concepts for statistical investigations | Confidence intervals - what matters most |

Confusing terms in statistics (link to the open University) with focus on the terms 'significant' and 'reliable'

The GaAISE Report on (Link to TKT)

Otago University video series
Maui Dolphin subspecies activity | Use of infrared thermography for non-invasive assessment of animal welfare | Impact of group rejections on physical self-esteem | Effect of investigator disturbance on hatching success in endangered Takahe

Genstat free software

Stat think website with lots of diagrams of aspects of statistical thinking by Chris Wild

Looking at the world using data Class notes (Chris Wild)

re sampling blog

Video Chris Wilds overview of sample variation, bootstrapping & randomisation





A Guide to bootstrapping

Future Site Development:
Starter problems,
Progress check 'tests'
Practice activities for class time focused on discussion,
Clearer in class practice assessment




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