# Statistics

## Confidence intervals and hypothesis testing

Using the central limit theorem to estimate population parameters such as the population mean or a population proportion.

The videos are from Professor Leonard on Youtube. Professor Leonard's videos are detailed, which makes them longer to watch. Settle down with a cup of tea.

The central limit theorem [length: 1h:31m:06s]
This video discusses the central limit theorem and  the distribution of the sample mean. The standard error is also introduced.
Finding a confidence interval for a population proportion [length: 2h:24m:10s]
This video explains how to calculate a confidence interval for a population proportion. It covers the margin of error, and the standard error of the proportion.
Finding a confidence interval for a population mean [length: 49m:12s]
This video explains how to calculate a confidence interval for the mean when we know the population standard deviation.
Finding a confidence interval for a population mean [length: 1h:0m:57s]
This video explains how to calculate a confidence interval for the mean when we don’t know the population standard deviation.
Finding Confidence Intervals Involving Variance and Standard Deviation. Using the Chi-Squared Distribution [length: 32m:18s]
This video explains how to calculate confidence intervals for a population variance or standard deviation. It shows how to use Chi-Squared tables.
An introduction to Hypothesis testing [length: 2h:26m:49s]
This video discusses the null and alternative hypothesis, the significance level, the critical value and the test statistic.
Hypothesis testing for a population proportion [length: 1h:10m:06s]
This video discusses the test for a population proportion.
Hypothesis testing for a population mean [length: 27m:20s]
This video discusses the test for a population mean.