Constructing a confidence interval for a population mean

We build a confidence interval for a mean when we want to estimate some average in a population. For instance, what's the mean income in a country?We can't get data from everyone, so we take a sample and make an estimate using a confidence interval.

Introduction to t statistics

Simulation showing value of t statistic

Conditions for valid t intervals

Conditions for a t interval for a mean

Example finding critical t value

Finding the critical value t* for a desired confidence level

Example constructing a t interval for a mean

Calculating a t interval for a mean

Confidence interval for a mean with paired data