Nayland College

Nayland College - Mathematics

Home . Year 9 . Year 10 . Level 1 . Level 2 . L3 Statistics . L3 Maths . L3 Calculus . About . Links

NZAMT NZQA NZ Grapher NZ Maths Census at School Study It Khan Academy Desmos

Writing an Introduction & Research Question

Inference HOME | Achievement Objectives | Overview | Statistical Cycle
- Write an introduction | Using NZgrapher | Discussing sample statistics
- Box plots | Discussing the boxplot & dotplot | Sampling methods | Sample variability and size
- Informal confidence interval | Comparing two populations - discussion
- Writing a report | Revision

2


Report Introduction

- General introduction statement - what the report is about
- Variables defined with units
- Groups are defined.
- Population defined (and any assumptions)
- Formed a Comparative Research Question (below)
- A prediction is make: ‘I think that...’
- Reason why making your prediction: Why ‘I think that...’

Research Questions

Review of research questions at lower levels

Your Question MUST Identify:
- The variable, for example gender and height,
- The population groups, eg NZ year 12 girls and NZ year 12 boys.
- The population parameter, eg median
- The direction of the comparison
(A statement about a population parameter which will give an indication of what you think the result will be, for example NZ year 12 boys are taller than NZ year 12 girls. (the direction of the comparison - ie the 'difference' is not enough)

Research the context of the situation.
Make a prediction and justify your prediction
'There is a belief that...'
'I want to test the claim that...'

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

'Is the median height of NZ year 12 boys greater than the median height of NZ year 12 girls?'

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

Class notes, Blank notes

Activity: Writing research Questions, Critiquing research questions

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

 

Pose a Research Question

AS 2.9 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...
'I will be investigating....'
'I think that...'
 
Then pose a related comparison investigative question:
including the variable of interest, the two groups, the parameter (eg median) & the population.
Make a prediction and justify your prediction

 

 

'I wonder if the median (variable) from (group A, population A) is greater than median (group B, population B)'

'I wonder if the median percentage of fat content in Nayland Canteen Pies is greater than the median percentage of fat content of Best Buy Pies'

 

 

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:

Variable
Groups
Parameter

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 spend more time texting than girls at Nayland College?

2)  I wonder if the fat content of all McDonald’s hamburgers is higher than KRC 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 percentage of free range eggs is greater than the median protein percentage of battery caged eggs in Nelson chicken farms?     

 

For 91264 a suitable question would be

'Is the median height of New Zealand year 11 boys greater than the median height of New Zealand year 11 girls?'

or

'I wonder if the median height of New Zealand year 11 boys is greater than the median height of New Zealand year 11 girls.'

The standard requires students to make an inference so the question identifies both the parameter and the population for the inference.

The question can be answered by looking at the informal confidence intervals for the population medians.

http://seniorsecondary.tki.org.nz/Mathematics-and-statistics/Achievement-objectives/AOs-by-level/AO-S7-1

 

 

 

 

back to top