V

**Inferential Statistics - Leaving Certificate**

**Sean Murphy**(@smurphyennis)

**Commencing Jan 9th (7pm )**

**Target audience: Teachers of Leaving Certificate Higher Level Maths.**

**Jan 9th**

- Binomial Distribution / Normal Distribution
- Standard Normal Distribution (Z-Distribution) / Empirical Rule / Z-Scores
- Tables P36/37 - Probabilities for Standard Normal Distribution
- Terminology – Sample /Population / Statistic / Parameter

**Jan 16th**

- The Central Limit Theorem and Distribution of Sample Means
- Excel Simulation of Sample and Population mean for Normal Distribution
- Calculating Z-Score for Distribution of Sample Means
- Margin of Error / Confidence Interval for Mean / Level of Significance / P-Value
- Exam Questions

**Jan 23rd**

- Hypothesis Tests
- Exam Questions

**Jan 30th**

- Sample and Population Proportion
- Confidence Interval for Proportion / Level of Significance
- Margin of Error Approximation
- Exam Questions

**Learning Outcomes**

- Understand normal distribution, standard normal distribution and the empirical rule
- Be able to calculate z-scores and use tables to work out associated probabilities
- Be familiar with the language and terminology used in inferential statistics
- Understand the significance of the central limit theorem
- Understand how to work out confidence intervals for sample means
- Understand how to work out confidence intervals for sample proportions
- Understand hypothesis tests
- Understand p-values and level of significance
- Develop clear methods for answering the different types of exam question