MATH08005 2013 Statistics

General Details

Full Title
Statistics
Transcript Title
Statistics
Code
MATH08005
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
MENG - Mech. and Electronic Eng.
Level
08 - NFQ Level 8
Credit
05 - 05 Credits
Duration
Semester
Fee
Start Term
2013 - Full Academic Year 2013-14
End Term
9999 - The End of Time
Author(s)
Paul Curran
Programme Membership
SG_EQLTY_K08 201300 Bachelor of Science (Honours) in Quality Management and Tech SG_EADVA_E08 201500 Level 8 Certificate in Advanced Lean Sigma Quality SG_ELEAN_E08 201300 Level 8 Certificate in Engineering in Lean Sigma Quality SG_EPOLY_K08 201800 Bachelor of Engineering (Honours) in Engineering in Polymer Processing
Description

The student should be able to have a foundation in statistical analysis and be able to manipulate statistical data.

Learning Outcomes

On completion of this module the learner will/should be able to;

1.

Summarise, describe data and identify the position of a data value in a dataset.

2.

Determine the probability of an event using probability rules.

3.

Calculate the probability for outcomes using discrete and continuous distributions.

4.

Calculate confidence intervals for population mean, proportion and variance.

5.

Perform hypothesis testing using parametric and nonparametric tests.

6.

Make decisions and draw conclusions on the basis of statistical analysis.

Indicative Syllabus

1. Descriptive Statistics: Measures of Central Tendency and Measures of Dispersion, Sampling. Use of corresponding statistical functions in Excel/statistical software.
2. Laws of Probability: Addition Rule, Multiplication Rule, Conditional Probability, Bayes's Theorem
3. Discrete Probability Distributions: Binomial, Poisson, Geometric and Hypergeometric distributions. Use of statistical software to calculate probability distributions.
4. Continuous Probability Distributions: Uniform, Normal and Exponential distributions. Normal distribution as approximation to Binomial. Central Limit Theorem. Use of statistical software to calculate probability distributions.
5. Estimation: Point estimation and confidence intervals. Confidence intervals for population mean. T Distribution. Confidence Intervals for a population proportion. Determining sample size. Confidence Intervals for a population variance.  Distribution. Use of statistical software to develop confidence intervals.
6. Hypothesis Testing: Fundamentals, Testing a claim about a mean, proportion, standard deviation or variance. P-values. Use statistical software to perform hypothesis testing.
7. Inference from Two Samples: Inference about two means, independent samples and matched pairs. Inference about two proportions. Comparing variation in two samples. F Distribution. Use of statistical software to perform corresponding test.
8. Chi Squared Tests: Goodness of Fit Testing, Contingency Tables
9. Nonparametric Statistics: Sign test, Wilcoxon test.

Coursework & Assessment Breakdown

Coursework & Continuous Assessment
20 %
End of Semester / Year Formal Exam
80 %

Coursework Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Assignment Continuous Assessment UNKNOWN 20 % OnGoing 1,2,3,4,5,6

End of Semester / Year Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Final Exam Final Exam UNKNOWN 80 % End of Term 1,2,3,4,5,6

Type Location Description Hours Frequency Avg Workload
Lecture Not Specified Lecture 2 Weekly 2.00
Tutorial Not Specified Tutorial 2 Weekly 2.00
Total Full Time Average Weekly Learner Contact Time 4.00 Hours

Type Location Description Hours Frequency Avg Workload
Lecture Not Specified Lecture 2 Weekly 2.00
Tutorial Not Specified Tutorial 2 Weekly 2.00
Total Part Time Average Weekly Learner Contact Time 4.00 Hours

Module Resources

Non ISBN Literary Resources
 Authors Title Publishers Year Allan Bluman Elementary Statistics: A Step by Step Approach 8th Edition McGraw Hill 2012
Other Resources

None