Chapter 2 Inference using normal and t-distribution

Inference using normal and t-distribution

Learning Objectives:

• 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 (calculations based on either raw or 

summarised data may be required);

• 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,

(the ability to select the test appropriate to the 

circumstances of a problem is expected);

• 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.

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