# MATH08005 2019 Statistics

**Full Title**

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**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.

### Teaching and Learning Strategies

The teaching strategy will be through the use of on-line lectures and tutorials with assessments timed to co-incide with the end of delivery of a particular topic so as to re-enforce and embed the knowledge of the material with the student.

### Module Assessment Strategies

Assessment will be performed throughout the academic period through assignments and mini-examinations. There will be a final examination at the end of the academic period.

### Repeat Assessments

Repeat assessment will be by way of sitting another examination on the subject. Alternatively, at the discretion of the lecturer, assignments covering the deficient areas of the course may be set.

### Indicative Syllabus

**Descriptive Statistics**: Measures of Central Tendency and Measures of Dispersion, Sampling. Use of corresponding statistical functions in Excel/statistical software.**Laws of Probability**: Addition Rule, Multiplication Rule, Conditional Probability, Bayes's Theorem**Discrete Probability Distributions**: Binomial, Poisson, Geometric and Hypergeometric distributions. Use of statistical software to calculate probability distributions.**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.**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.**Hypothesis Testing**: Fundamentals, Testing a claim about a mean, proportion, standard deviation or variance.*P*-values. Use statistical software to perform hypothesis testing.**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.**Chi Squared Tests:**Goodness of Fit Testing, Contingency Tables**Nonparametric Statistics**: Sign test, Wilcoxon test.

### Coursework & Assessment Breakdown

**Coursework & Continuous Assessment**

**End of Semester / Year Formal Exam**

### 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 | |
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1 | Final Exam | Final Exam | UNKNOWN | 80 % | End of Term | 1,2,3,4,5,6 |

### Full Time Mode Workload

Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|

Lecture | Not Specified | Lecture | 2 | Weekly | 2.00 |

Tutorial | Not Specified | Tutorial | 2 | Weekly | 2.00 |

### Part Time Mode Workload

Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|

Lecture | Not Specified | Lecture | 2 | Weekly | 2.00 |

Tutorial | Not Specified | Tutorial | 2 | Weekly | 2.00 |

### Required & Recommended Book List

**Required Reading**

*Elementary Statistics: A Step by Step Approach*McGraw Hill

**Recommended Reading**

*Probability and Statistics for Engineers and Scientists*Pearson

**Recommended Reading**

2014-02

*Statistics for Engineers and Scientists*

ISBN 1259251608 ISBN-13 9781259251603

This title stands out for its crystal clear presentation of applied statistics. Suitable for a one or two semester course, the book takes a practical approach to methods of statistical modeling and data analysis that are most often used in scientific work.

### Module Resources

**Non ISBN Literary Resources**

Books already indicated

**Journal Resources**

N/A

**URL Resources**

N/A

**Other Resources**

None

**Additional Information**

None