Input

Error in problem solving.

Please enter the input according to the guideline. If you have any question, please email optimizationcity@gmail.com .

Output

Welcome to the critical value calculator by ONLINE! Here you can quickly determine the critical values for most common distributions in statistical testing. In the following, we are focusing on T distribution.

Hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis, namely null hypothesis. Critical values allow you to decide whether to reject or non-reject the null hypothesis. Critical values divide the scale of your test statistic into the rejection region and non-rejection region.

Here are the steps you need to follow:

1. Specify the degrees of freedom ,n, of the t distribution.
2. Set the significance level, A. You can choose the value to your needs.
3. Set the decimal digit as you require.
4. The critical value, tA,n will then be calculated correspondingly.

The figure below shows the relationship between the above parameters.

Example: Calculate the critical value of T distribution with degree of freedom (n) = 20 and significance level (A) = 0.95. it is shown by t20,0.95. the decimal digit is 4. The following figure shows the value of t distribution.

The t20,0.95=1.7247 displays on output box. The concept of this calculation is shown below.