4.5.A—Calculate an appropriate test statistic and p-value for testing a hypothesis about a population mean or…

Calculate an appropriate test statistic and p-value for testing a hypothesis about a population mean or population mean difference.

• The test statistic for a one-sample t-test for a population mean or population mean difference is x - μt = 0 s n , where t has degrees of freedom n −1. The t-statistic has a t-distribution with degrees of freedom n −1 when the null hypothesis is true.
• The p-value for a one-sample t-test for a population mean or population mean difference is found using the appropriate t-distribution table or technology.