If the hypothesis test is one-tailed then use the one-tailed t distribution table. Otherwise, use the two-tailed t distribution table for a two-tailed test. Match the corresponding df value (left side) and the alpha value (top row) of the table.

Find the t critical value if the size of the sample is 5 and the significance level is 0.05. Solution: Step 1: Subtract 1 from the sample size to get the degree of freedom. Degree of Freedom = N - 1 = 5 - 1 Degree of freedom = 4 α = 0.05. Step 2: Depending on the test, choose the one-tailed t distribution table or two-tailed t table below

t Distribution: Critical Values of t Significance level Degrees of Two-tailed test: 10% 5% 2% 1% 0.2% 0.1% freedom One-tailed test: 5% 2.5% 1% 0.5% 0.1% 0.05% 1 6.314 12.706 31.821 63.657 318.309 636.619 2 2.920 4.303 6.965 9.925 22.327 31.599 3 2.353 3.182 4.541 5.841 10.215 12.924 4 2.132 2.776 3.747 4.604 7.173 8.610 The t table for one tail probability is given below DF ∞ 60 120 1000 = 0.1 ta = 1.282 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.296 1.289 1.282

T Table contains the critical values of the T Distribution. The column contains all the T-Distribution probabilities denoted by "Alpha" or "p". The row contains all the degrees of freedom denoted by "df". Also, here you will get one and two tail T score tables or charts online.

In one tailed t-tests, the critical value of t from t-distribution table represents the rejection area of distribution either left or right of the mean. In single tailed t-test, the critical value of t at a specified level of significance (α) is calculated either left side or right side of the mean of t-distribution.

t-testtable.htm. Table of critical values of. t. : One Tailed Significance level: df: Two Tailed Significance level: 0.2. 0.1.

What critical value should be compared to the t value obtained as the test statistic? Solution: The sample size is 12. Hence the degrees of freedom ( df) = 12 - 1 = 11. Mapping the alpha level across the row for one-tailed alpha values and the df of 17 on the left-side of the table, we get our critical value as 1.363. When is T Distribution used?
The function gives the critical value of t for the one-tailed test. If you want the critical value of t for a two-tailed test, divide the significance level by two. Example: Calculating the critical value of t in R To calculate the critical value of t for a two-tailed test with df = 29 and α = .05:
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    • one tailed critical value table