LC23-81A Inferential Statistics Maths Course for Teachers of Leaving Cert Classes (HL) Session 3

Class 1 Wednesday September 13th 7p.m.

• 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

Class 2 Wednesday September 20th 7p.m.

• 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

Class 3 Wednesday September 27th 7p.m.

• Hypothesis Tests
• Exam Questions

Class 4 Wednesday October 4th 7p.m.

• 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