Short Title:  Statistics 

Full Title:  Statistics 

Field of Study:  Mechanics and metal work 

Reviewed By:  FIONA CRANLEY 

Module Author:  JAMES REILLY 

Module Description:  The aim of the module Statistics is to provide the student with a working knowledge of probability, statistical techniques and discrete mathematics so as to enable them to select and apply such techniques to the solution of engineering problems. 

Learning Outcomes 
On successful completion of this module the learner will be able to: 
LO1 
Construct simple truth tables. [POa, POb] 
LO2 
Collect, present, and summarise data. [POa, POb, POe, POf] 
LO3 
Calculate probabilities. [POa, POb] 
LO4 
Explain the application of binomial, Poisson, exponential and normal distributions to problems in reliability engineering, sampling inspection, conformance to specification, and failure times. [POa, POb, POe, POf] 
LO5 
Construct confidence intervals for means and proportions. [POa, POb, POe, POf] 
LO6 
Use hypothesis tests to compare products or processes. [POa, POb,] 
LO7 
Predict responses using regression analysis. [POa, POb] 
LO8 
Investigate the correlation between variables. [POa, POb] 
LO9 
Evaluate the capability of a process and construct SPC charts. [POa, POb] 
Prerequisite learning 

Corequisite Modules
 No Corequisite modules listed 
Module Content & Assessment
Content (The percentage workload breakdown is inidcative and subject to change) 
% 
Discrete Mathematics: Simple and compound propositions. Truth tables. Simple logic circuits: AND, OR, NAND, NOR, EXCLUSIVE OR.

15.00% 
Working with data: Collecting data: tallies. Organising data: frequency tables. Graphs: frequency curves, and time series. Population and sample: inference. Summary statistics: mean, median, mode, range, standard deviation, coefficient of variation.

15.00% 
Probability: Definition of probability. Calculating probabilities. Permutations and combinations. The laws of probability. Reliability engineering: components in series and in parallel.

10.00% 
Discrete probability distributions: The binomial distribution: defectives. The Poisson distribution: defects, breakdowns.

10.00% 
Continuous probability distributions: The exponential distribution: failure times. The normal distribution: percentage outofspecification. Typical nonnormal patterns and their causes.
Process Capability. Statistical Process Control: XBar charts, np charts and c charts.

15.00% 
Estimation: The addition of variances. The central limit theorem. Confidence intervals for means and proportions.

10.00% 
Testing theories: Tests of population means and proportions.

15.00% 
Regression and Correlation: Scatterplots. Correlation coefficient. Coefficient of determination. Regression equation. Prediction: interpolation and extrapolation.

10.00% 
Assessment Breakdown  % 
Course Work  30.00% 
End of Module Formal Examination  70.00% 
Course Work 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Continuous Assessment 
Students will carry out a number of independent and group projects involving data collection and analysis, and will present results and conclusions in written form and through an oral presentation. 
2,5 
30.00 
Ongoing 
End of Module Formal Examination 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Formal Exam 
EndofSemester Final Examination 
1,3,4,5,6,7,8,9 
70.00 
EndofSemester 
Reassessment Requirement 

Repeat examination Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element. 
IT Tallaght reserves the right to alter the nature and timings of assessment Module Workload
Workload: Full Time 
Workload Type 
Workload Description 
Hours 
Frequency 
Average Weekly Learner Workload 
Lecture 
Lectures, demonstrations, exercises, feedback. 
3.00 
Every Week 
3.00 
Tutorial 
Problem solving with support 
1.00 
Every Week 
1.00 
Independent Learning Time 
Assigned project work, problem solving. 
3.00 
Every Week 
3.00 
Total Weekly Learner Workload 
7.00 
Total Weekly Contact Hours 
4.00 
This module has no Part Time workload. 

Module ResourcesRequired Book Resources 

 Reilly J. 2006, Using Statistics, Gill & Macmillan
 Recommended Book Resources 

 Peter Grossman 2009, Discrete Mathematics for Computing, 3rd Edn Ed., Palgrave Macmillan [ISBN: 9780230216112]
 Kenneth Koehler 2012, Snedecor and Cochran's Statistical Methods, 9th Edn Ed., Blackwell [ISBN: 9780813808642]
 This module does not have any article/paper resources 

This module does not have any other resources 

Module Delivered in
