Inference about Means/Averages Chapter 23 Looking at means rather than percentages
What did we use?: SE( ) for the sample mean A new model for small samples – “the student t model” Making a confidence interval for the mean Test a hypotheses about the population mean using the sample mean
So what is the SE(mean) ? Because we use the sample standard deviation rather than the population standard deviation there is inherent problem – to correct this we use a different model instead of the normal model. The new model is called “the student t” and is a family of models based on the sample size. The sample size determines which model you use. Degrees of Freedom or df are what we use to determine the model. Degrees of Freedom (df) = n - 1
Like all other confidence intervals and tests, there are: Assumptions & Conditions
The confidence interval is:
The hypothesis test: same assumptions and conditions -