![]() We use the following formula to calculate the test statistic t: H 1 (left-tailed): μ 1 μ 2 (population 1 mean is greater than population 2 mean).H 1 (two-tailed): μ 1 ≠ μ 2 (the two population means are not equal).The alternative hypothesis can be either two-tailed, left-tailed, or right-tailed: H 0: μ 1 = μ 2 (the two population means are equal).Two Sample t-test: FormulaĪ two-sample t-test always uses the following null hypothesis: Fortunately, a two sample t-test allows us to answer this question. The question is whether or not this difference is statistically significant. However, it’s virtually guaranteed that the mean weight between the two samples will be at least a little different. Instead, we might take a simple random sample of 15 turtles from each population and use the mean weight in each sample to determine if the mean weight is equal between the two populations: Since there are thousands of turtles in each population, it would be too time-consuming and costly to go around and weigh each individual turtle. Suppose we want to know whether or not the mean weight between two different species of turtles is equal. An example of how to perform a two sample t-test.The assumptions that should be met to perform a two sample t-test.The formula to perform a two sample t-test.The motivation for performing a two sample t-test.A two sample t-test is used to determine whether or not two population means are equal.
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