4.4.A—Identify an appropriate testing method and parameter for a population mean or population mean difference with…

Identify an appropriate testing method and parameter for a population mean or population mean difference with unknown σ.

• The appropriate test for a population mean with unknown population standard deviation σ is a one-sample t-test for a population mean.
• For a matched pairs design with two dependent samples, the appropriate analysis calculates differences between pairs of values to produce one sample of differences. The hypothesis testing procedure for the matched pairs design is a one-sample t-test for the population mean difference.
• The parameter for a hypothesis test for a population mean and population mean difference should reference the population parameter, the response variable, and the population in context.