Two Sample T Test Test Statistic. It is applied to compare whether the averages of two data sets are significantly different or if their difference is due to random chance alone. In general there are three possible alternative hypotheses and rejection regions for the one sample t test.
Null and alternative hypotheses for the independent t test. The results for the two sample t test that assumes equal variances are the same as our calculations earlier. A t test also known as student s t test is a tool for evaluating the means of one or two populations using hypothesis testing.
Null and alternative hypotheses for the independent t test.
For our two tailed t test the critical value is t1 α 2 ν 1 9673 where α 0 05 and ν 326. One of the most common is student s t test for two samples. Hypotheses for a two sample t test. Test statistic in a two sample t test practice khan academy.