To provide the student with techniques for the collection, interpretation and application of statistical data.
Working with Data
Histograms and frequency curves: various patterns and their causes, normal, skewed, truncated, bimodal.Time series plots: random variation, trend, shift, cyclical variation.Population and sample. Sampling techniques. Inference.Visual interpretation of Process Capability graphs and Process Control charts. Summary Statistics: mean, median and mode. Cross tabulations.Range, variance, standard deviation, coefficient of variation. Degrees of freedom.
Probability and Distributions
Definitions of probability. Calculating probabilities. Composite events.Applications in reliability. Concept of a probability distribution with reference to the binomial and Poisson. The normal distribution: use of tables.
Estimation
The addition of variances. The central limit theorem. Point estimates and confidence interval estimates of population means. Student’s t distribution. Approximate confidence intervals for population proportions. Sample size for estimation.
Hypothesis Testing
The reasoning behind a hypothesis test. Hypothesis testing procedure. Tests of population means and proportions. Sampling Plans.
Regression and Correlation
Scatterplots. Correlation coefficient. Coefficient of determination. Regression equation. Errors. Standard deviation about regression. Prediction: interpolation and extrapolation. The method of least squares. Use of software and interpretation of software output.
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Other Assessment(s) | 30 |
| Formal Examination | 70 |