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# 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)

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
Worksheet

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the latest information on the NZQA clarifications page as things change all the time, and the exemplars in NZQA may be out of date (as they are in this standard)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

* Any further ideas / suggestions / resources/ comments / errors. Please email maxr@nayland.school.nz

* 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

 We 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. or

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)

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

The GaAISE Report on (Link to TKT)

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)

A Guide to bootstrapping

http://new.censusatschool.org.nz/resource/a-guide-to-bootstrapping/