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Nayland College - Mathematics

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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

Forming a Research Question

1


Research Questions and Report Introduction

Review of research questions at lower levels.
The report introduction needs three things:

1) Purpose of the investigation:
How to background setting...the context, 'There is a belief that... or 'I want to test the claim that...'
How to make a hypothesis and justify why. "I suspect that...  because"
Summary of contextual research.

2) Identify variables involved:

3) Comparative Investigative Question:
How to pose a related comparison investigative question:
- Variable of interest,
- Median
- A direction is helpful (greater, taller etc)
- Two groups,
- The population.

Notes on Introduction - what is expected, using elite athletes exemplar as an example to analyse.

Practice writing questions, critiquing other peoples research questions, background setting and predictions.

Student example - dolphin write up introduction

Car Crash Example - Class notes student worksheet

Starter 2

Class notes, Class notes
Class site

Exemplar, Elite Athletes, Data set | Assessment information Class notes
Introduction Class notes

Research Questions from lower levels AS1.10 and 2.9 (Link to census at school Class notes)

Stats Learning Workbook Ex A pg80

IAS 3.10 pg5, 6

 

 

Check out the iNZight tips and tricks page for ideas on data manipulation before formulating a research question.

Car Crash Injury Practice:
Data set, csvVariable Info
Google Doc & Example Report
Worksheet

 

Pose a Research Question

AS 3.10 ‘Use statistical methods to make a formal inference’ involves showing evidence of using each component of the PPDAC statistical enquiry cycle

Prior to the Assessment you will be given the context of the assessment situation so you can research the context and gain prior knowledge.


You should discuss some background...
'There is a belief that...'
'I want to test the claim that...'
 
Then pose a related comparison investigative question:
including the variable of interest, the two groups & the population.
Make a hypothesis and justify - why you think this

 

 

'I wonder if the median % fat content for Nayland Canteen Pies is greater than the median % fat content for Best Buy Pies'

'I wonder if the median (variable) from (group A, population A) tends to be bigger than the median (variable) from (group B, population B)'

'Tends' implies we are talking about the population median

 

 

List possible related comparison investigative questions given this data from a random selection of Nayland College Students.

Gender
Year Level
Time on HW per week
Time on internet per week
Time playing sport per week
Time on Face book per week
Time in paid employment per week
M
Y9
2hr
5hr
0
2hr
0
F
Y12
1hr
4hr
3hr
3hr
7hr
F
Y10
1.5hr
0
2hr
0
1hr
M
Y12
4hr
1hr
5hr
1hr
8hr
etc
...
...
...
...
...
...

 

Remember:

‘Difference in median...’
Variable
Groups
POPULATION

Also make statements like:

'There is a belief that...'
'I want to test the claim that...

 

 

Are the following Research Questions suitable?  
If not why not?       Then rewrite the question to correct the errors.

1) Do boys send more texts than girls at Nayland College?

2) I wonder if the fat content of all McDonald’s hamburgers is higher than KFC burgers?

3) I wonder if y9 boys tend to send more texts than girls at Nayland College

4) Do Y10 boys tend to spend more time playing sport each week than Y10 girls at Nayland College?

5) Is there a difference in the time spent on homework for boys and girls?

6) Does the amount of diesel used by trucks in Nelson tend to be greater than the amount of petrol used by cars in Nelson?

7) I wonder if the median protein% of free range eggs is greater than the median protein% of a battery caged eggs in Nelson chicken farms?   

 

 

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