![]() We use the T-test Formula to statistically determine if there is a significant difference between the means of two groups that are related in certain aspects. For example, comparing the mean height of the students with respect to the national average height of an adult. The one-sample t-test is the statistical test used to determine whether an unknown population mean is different from a specific value. One-Sample T-Test Formulaįor comparing the mean of a population \(\overline\)= number of observations in group 2 What is a One-Sample t-test? If the t-test obtained statistically > CV then the initial hypothesis is wrong and we conclude that the results are significantly different. The critical value is obtained from the t-table looking for the degree of freedom(df = n-1) and the corresponding α value(usually 0.05 or 0.1). There are 3 types of t-tests that could be performed on the n number of samples collected. The t-test formula depends on the mean, variance, and standard deviation of the data being compared. The t-test formula is applied to the sample population. The large t-score indicates that the groups are different and a small t-score indicates that the groups are similar. ![]() The t-score is compared with the critical value obtained from the t-table. The t-test formula helps us to compare the average values of two data sets and determine if they belong to the same population or are they different.
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