Course curriculum

1
Continuous Random Variables
 Introduction
 Piecewise Definition
 Expectation of any function
 Worked Example 1
 The Cumulative Distribution Function
 Worked Example 2
 Median, Quartiles & Percrentiles
 Obtaining the PDF from the CDF
 Finding the CDF and PDF of a related variable
 Worked Example 3
 Worksheet 1
 Woorksheet 2

2
Inference Using Normal and tdistributions
 The tdistribution
 The mean of a normal population with unknown variance
 Confidence Interval for the Population Mean
 Confidence Interval for the Population Mean – Worked Examples
 Hypothesis Testing (the tTest)
 Hypothesis Testing (the tTest) – Worked Example
 Worksheet 1
 Testing the difference between two population means (Worked Example)
 Twosample tTests
 Inference  Hypothesis difference pop means (worked example)
 Calculating Pooled Estimates for the Population Mean
 Twosample tTests (worked example)
 Confidence Interval for the Difference in Population Means (Large Samples)
 Confidence Interval for the Difference in Population Means (Small Samples)
 Worksheet 2
 Paired sample ttests
 Worksheet 3

3
ChiSquared Tests
 Chisquared  Introduction
 Goodness of Fit Tests (Introduction)
 Chisquared  Goodness of Fit (Binomial 1)
 Chisquared  Goodness of Fit (Binomial 2)
 Chisquared  Goodness of Fit (Geometric)
 Chisquared  Goodness of Fit (Poisson)
 Worksheet 1
 Chisquared  Independence (Introduction)
 Worksheet 2

4
Nonparametric Tests
 Introduction
 Single Sample Sign Test (Large Samples)
 Wilcoxon signed rank test
 Wilcoxon signed rank test (Worked example)
 Wilcoxon signed rank test (Large Samples)
 Paired sample sign test
 Wilcoxon matched pairs signed rank test
 Wilcoxon RankSum Test
 Worksheet 1
 Worksheet 2

5
Probability Generating Functions
 Introduction
 Calculating Probabilities
 Expectation and variance
 Expectation and variance (worked example)
 Discrete Uniform Distribution
 Binomial Distribution
 Poisson Distribution
 Geometric Distribution
 Sum of indepedent variables
 Worksheet 1
 Worksheet 2
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