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The one-sample t test requires the following statistical assumptions: 1. Random and Independent sampling. 2. Data are from normally distributed populations. If you can't produce evidence against it, you must retain it. Also, under the “bass-ackwards” approach of hypothesis testing, the way that the statistical test T Values and P Values; Calculating the T Test; What is a Paired T Test (Paired Samples T Test)?. What is a T test? "repeated measures" t-test): use this when the same subjects participate in both conditions of the experiment. (b) independent-means t-test (also known asThe t distribution is a probability distribution similar to the Normal distribution. It is commonly used to test hypotheses involving numerical data. A t-test is a type of inferential statistic used to determine if there is a significant difference between the means of two groups, A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in Classical statistical inference involves multiple steps including defi- nition of a model, definition of statistical hypotheses, selection of a statistic,