PAKURANGA COLLEGE 2015
Statistics 3.10 : Inference Assessment 2015
A/S 91582 Ver.1 Use statistical methods to make a formal inference
Credits: 4
Achievement
Use statistical methods to
make a formal inference.
Achievement with Merit
Use statistical methods to
make a formal inference,
with justification.
Achievement with
Excellence
Use statistical methods to
make a formal inference,
with statistical insight.
Background Information
This assessment activity requires you to produce a report describing an investigation
that uses statistical methods to make a formal inference related to data collected
from a group of Year 13 students.
You will work independently; and pose a comparison investigative question,
complete an analysis, make conclusions, and write your report.
The quality of thinking demonstrated in your report and your ability to link the
context and populations to the different components of the statistical enquiry cycle
will determine your overall grade.
Inference Assessment 3.10 : “Teenagers”
You have been provided with a data set, summarising information collected from a
group of Year 13 students.
Assume that the dataset is generated from a random sample of New Zealand Year
13 students.
Use the statistical enquiry cycle to conduct your investigation and write a report
describing the investigation.
1. Familiarise yourself with the data set provided. This will include doing research
to help you understand the variables and develop a purpose for the
investigation.
2. Identify the variables you wish to investigate, and establish a related
investigative comparison question.
3. Conduct your investigation and write a report containing:

your comparison investigative question

appropriate displays and summary statistics

a discussion of the sample distributions

an appropriate formal statistical inference

a conclusion communicating your findings, which may include discussing
sampling variability, including the variability of estimates and reflecting on the
process that has been used to make the formal inference.
As you write your report, take care to link your discussion to the context and to
support your statements by referring to statistical evidence.
Information about the Variables

Gender: Male or Female

Self Esteem score: students completed a ‘Self-esteem’ online test. The website
states “Most people score between 90 and 100”.
http://www.netdoctor.co.uk/interactive/interactivetests/selfesteem.php

EQ score: students completed an ‘Emotional Intelligence’ online test.
http://www.arealme.com/eq/en/

BMI: Body Mass Index

IQ score: students completed two ‘Intelligence Quotient’ online tests; an adult
with ‘average’ intelligence could have an IQ score of 100. http://www.freeiqtest.net/

http://www.quickiqtest.net/
Luck: students were asked to state whether they regarded themselves as
“Lucky” or “Unlucky”.

Reaction Test Score: students record a value indicating how fast they ‘react’

Body Language Test Score: how good a student is at reading a person’s ‘body
language’. http://greatergood.berkeley.edu/ei_quiz/