Student's t-test is a statistical test used to test whether the difference between the response of two groups is statistically significant or not. It is any statistical hypothesis test in which the te
William Sealy Gosset, who developed the "t-statistic" and published it under the pseudonym of "Student"
Suppose the data can be realized from an N(0,1) distribution. For example, with a chosen significance level α = 0.05, from the Z-table, a one-tailed critical value of approximately 1.645 can be obtained. The one-tailed critical value Cα ≈ 1.645 corresponds to the chosen significance level. The critical region [Cα, ∞) is realized as the tail of the standard normal distribution.