Further MathematicsCode 9231
Inference using normal and t-distributions
What this topic asks you to be able to do
- set up the hypotheses and carry out a hypothesis test on the population mean by means of a t-test, working from a small sample taken from a normal population whose variance is not known
- work out the pooled estimate for the variance of a population, drawing on two samples
- set up hypotheses about the difference between two population means, then carry out whichever test suits the case: a paired-sample t-test, or a 2-sample t-test, or a test that uses a normal distribution
- find, by means of a t-distribution, a confidence interval for the mean of a normal population whose variance is unknown, working from a small sample
- find a confidence interval for the difference between two population means, choosing a normal distribution or a t-distribution to suit the situation