Statistics II module (MA22004)

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Module code


About the module

This module explores in depth how samples of populations can be used to predict information about the whole population, and also gives an introduction to the use of the computer package R. This module is mandatory for Level 2 students taking the BSc or MMath in Mathematics or the BSc or MSci in Mathematical Biology. This module is optional for students taking the BSc in Mathematics combined with any of Accountancy, Economics, Financial Economics or Psychology. If you have questions about this module please contact our Undergraduate Admissions Tutor or your Advisor of Studies.


Students taking this module must have achieved a pass mark in each of the modules MA11001 and MA12001 or equivalents.

Indicative Content

  • Sampling Distributions
    • Mean and standard deviation of samples
    • Sampling from 1 population
    • Sampling from 2 populations
    • Shape of sampling distributions
    • Normal distribution, Chi-square distribution, F-distribution
  • Hypothesis tests
    • Null and Alternate hypotheses
    • Inferences
    • Confidence intervals
    • Estimating means, proportions and standard deviations
  • Linear Regression
    • Least squares
    • Assessing usefulness of a model
    • Using a model
  • Industrial Quality Control
    • Control Charts
    • Acceptance Sampling
  • R software package
    • Appropriate use of computational software to carry out statistical and probabilistic calculations

Delivery and Assessment

The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (60%) and coursework (40%).

Credit Rating

This module is a Scottish Higher Education Level 2 or SCQF level 8 module and is rated as 20 SCOTCAT credits or 10 ECTS credits.