Walter Maths Academy

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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

The t-distribution

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 t-Test)

Hypothesis Testing (the t-Test) – Worked Example

Worksheet 1

Testing the difference between two population means (Worked Example 1)

Testing the difference between two population means (Worked Example 2)

Calculating Pooled Estimates for the Population Mean

Two-sample t-Tests

Two-sample t-Tests (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 t-tests

Worksheet 3

Chi-squared - Introduction

Goodness of Fit Tests (Introduction)

Chi-squared - Goodness of Fit (Binomial 1)

Chi-squared - Goodness of Fit (Binomial 2)

Chi-squared - Goodness of Fit (Geometric)

Chi-squared - Goodness of Fit (Poisson)

Worksheet 1

Chi-squared - Independence (Introduction)

Worksheet 2

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 Rank-Sum Test

Worksheet 1

Worksheet 2

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