A-Level Further Statistics – Inference using Normal and t-Distribution PPT and Lesson Booklet

Formulate hypotheses and apply a hypothesis test concerning the population mean using a small sample drawn from a normal population of unknown variance, using a t-test

Calculate a pooled estimate of a population variance from two samples

Formulate hypotheses concerning the difference of population means, and apply, as appropriate
– a 2-sample t-test
– a paired sample t-test
– a test using a normal distribution

Determine a confidence interval for a population mean, based on a small sample from a normal population with unknown variance, using a t-distribution

Determine a confidence interval for a difference of population means, using a t-distribution or a normal distribution, as appropriate.