FSMQ Level 3 (pilot) Hypothesis testing scheme of work
Before starting this Advanced (Level 3) FSMQ students should have acquired the skills and knowledge associated with the Statistics assessment objective of GCSE Mathematics or with an Intermediate (Level 2) FSMQ in Data, or equivalent.
A suggested work scheme showing topic areas and methods to be covered is given below. The order and time allocations can be varied to suit different groups of students.
Note that the Nuffield assignments below will not contribute to the AQA assessment of this FSMQ which is by examination only. Many of the resources below were written for the legacy FSMQ ‘Using and applying statistics’. The content of this AQA pilot FSMQ ‘Hypothesis testing’ is very different. Although the data included in these resources may be useful, you will need to adapt the activities to match the content of this FSMQ. You should disregard any information about portfolio work.
Topic area 
Content 
Nuffield resources Most were originally written for earlier FSMQs and are likely to need adapting for use with this unit. 
Probability laws 
Revise basic probability methods. Multiplication law for probabilities of independent events Addition law for probabilities of exclusive events Tree diagrams (for independent events only).

Probability 
Sports injuries 

Laws of probability 

Binomial distribution 
The use of discrete theoretical probability distributions to model populations. Binomial probabilities using notation 
Histograms 
The normal distribution 
The use of continuous theoretical probability distributions to model populations. Features of a normal distribution, including: · continuous data · symmetry · approximately twothirds of the distribution lying within one standard deviation of the mean · approximately 95% of the distribution lying within two standard deviations of the mean The standard normal distribution with mean 0 and standard deviation 1. Use of tables to find probabilities and expected frequencies. Use of tables in reverse calculations. Normal approximation to the Binomial Distribution. 
Stature 
Pulse rates 

Casio calculators 

Graphic calculators 
Topic area 
Content 
Nuffield resources 
Sampling 
Sampling from a parent population Precision and sample size. Include discussion of the cost in both time and money of improving accuracy by removing bias and increasing sample size. Distribution of the sample mean and sample proportion from a normal population. Confidence intervals. 
Parking permits 
DISCUSS Sampling 

Hypothesis testing 
Null and alternative hypotheses Onetail and twotail tests (binomial and normal distributions only) Significance level and critical region Specific tests including opinion polls, food tasting (including triangle test and pairs difference test) Clinical trials including placebo and doubleblind trials

Rain or shine 
Gender differences 

Music and work 

Successful HE applicants 

Election results – data may be useful 

Can they tell the difference?  Students use a triangle test to decide whether or not people can tell the difference between a product and a healthier alternative. 

Nonparametric tests 
The sign test
The MannWhitney U test

Subject results – data may be useful 
Module results – data may be useful 

Mammals – data may be useful Data sheets giving body mass, brain mass, sleep duration, life span, gestation time and danger index for small, medium and large mammals. 

Health data – data may be useful 

Revision 
Revise topics. Work through revision questions and practice papers. Discuss the data sheet  make up & work through questions based on it. 

Page last updated on 23 January 2013