T-Distribution Table
A T-Distribution table is used to obtain a critical t-value that is used as a reference to the calculated t-value for obtaining further results. Critical t-value depends on values of the level of significance and degrees of freedom. A concise form of the table for critical t-values is as follows for your reference:
Degrees of Freedom (df) |
α = 0.05 |
α = 0.01 |
---|---|---|
1 |
12.706 |
63.657 |
2 |
4.303 |
9.925 |
3 |
3.182 |
5.841 |
4 |
2.776 |
4.604 |
5 |
2.571 |
4.032 |
6 |
2.447 |
3.707 |
7 |
2.365 |
3.499 |
8 |
2.306 |
3.355 |
9 |
2.262 |
3.250 |
10 |
2.228 |
3.169 |
11 |
2.201 |
3.106 |
12 |
2.179 |
3.055 |
13 |
2.160 |
3.012 |
14 |
2.145 |
2.977 |
15 |
2.131 |
2.947 |
16 |
2.120 |
2.921 |
17 |
2.110 |
2.898 |
18 |
2.101 |
2.878 |
19 |
2.093 |
2.861 |
20 |
2.086 |
2.845 |
T-Test in Statistics: Formula, Types and Steps
T-Test is a method used in statistics to determine if there is a significant difference between the means of two groups and how they are related. In T-Test statistics, the sample data is a subset of the two groups that we use to draw conclusions about the groups as a whole.
For example, if we want to know the average weight of mangoes grown on a farm, the population would consist of all the mangoes that grew on the farm. However, it would be time-consuming to weigh each mango. Instead, we could take a sample of mangoes from trees at different locations on the farm and use their weights to make inferences about the average weight of all the mangoes grown on the farm.