Inferential Statistics Online Course: Series of 4 Sessions

DATE:        4 Classes, 1 hour each onThursdays, 25 February and 4, 11 and 18 March 2021
TIME:          7pm to 8pm
VENUE:      Zoom Meeting

This is a collaboration between Clare Education Centre, Limerick Education Centre and the Clare Limerick branch of the IMTA (Irish Maths Teachers Association).

Target audience: Teachers of Leaving Certificate Higher Level Maths.

Class 1: Thursday, 25 February @ 7p.m.

• Review of Mean / Standard Deviation / Normal Distribution
• Standard Normal Distribution (Z-Distribution) / Z-Scores
• Tables P36/37 - Probabilities for Standard Normal Distribution
• Terminology – Sample /Population / Statistic / Parameter

Class 2: Thursday, 4 March @ 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: Thursday, 11 March @ 7p.m. 

• Hypothesis Tests
• Exam Questions

Class 4: Thursday, 18 March @ 7p.m. 

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

Learning Outcomes

• Understand normal distribution and standard normal distribution
• 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