Solution: Degrees of freedom ( df ) = n – 1 = 23 – 1 = 22 Question 2: For an one-tailed test, the sample size if 23. Then we map the value 17 under the left-most column ‘ df‘ and the intersection of these two is our answer which is 1.069 So on the T-Table, we map the column for two-tailed alpha values first and then map the value 0.30 across it. We can also see that the test is two-tailed and has an alpha level of 0.30. Therefore the degrees of freedom ( df ) = 18 – 1 = 17. Solution: We can deduce the following from our problem statement. Question 1: For a two-tailed test with an alpha level of 0.30 and 18 as the sample size, what is the critical value we should compare t to? Sample Questionsįollowing are some sample questions for your practice. In a similar way, you can also map critical values for two-tailed tests with the only difference being that you have to select the two-tailed row of alpha values instead. Hence we see that the critical value corresponding to our t in the t-distribution table is 1.711. The intersection of these two presents us with the critical value we are looking for
Once that is done, let us map the degrees of freedom under the leftmost column of the table under ( df)ĥ. Our alpha level for this example is 0.05. Next, we look for the alpha value along the above highlighted row. So we will choose the one-tail row to map our alpha level.ģ. Next, we see that our t-test is one-tailed. To get the degrees of freedom ( df), we have to subtract 1 from the sample size.
Let us understand how to read the T-Table using an example of an one-tailed test.Įxample: Let’s say we want to map an one-tailed t-test for a mean with an alpha level of 0.05. Once you have all three, all you have to do is pick the respective column for one-tail or two-tail from the table and map the intersection of the values for the degrees of freedom ( df) and the alpha level. The common alpha levels for t-test are 0.01, 0.05 and 0.10
The number of tails: We need to know whether our t-test is one-tailed or two-tailed because we will use the respective one-tail or two-tail row to mark the alpha level.The pre-requisites required to using a T-table are: Next, we are going to learn how to read the T-Table and map critical values on it using examples and diagrams but first we will need a few things or pre-requisites before we can do that.
The T Table given below contains both one-tailed T-distribution and two-tailed T-distribution, df up to 1000 and a confidence level up to 99.9%įree Usage Disclaimer: Feel free to use and share the above images of T-Table as long as you provide attribution to our site by crediting a link to How to Use the T-Table Given below is the T Table (also known as T-Distribution Tables or Student’s T-Table).