Hi i forgot how to do this please help!

Find the​ t-value such that the area left of the​ t-value is 0.1 with 21 degrees of freedom.

To find the t-value such that the area left of the t-value is 0.1 with 21 degrees of freedom, you can follow these steps:

Step 1: Determine the confidence level corresponding to the desired area.

Since the question states that the area left of the t-value is 0.1 (or 10%), we can calculate the confidence level as follows:
Confidence level = 1 - area = 1 - 0.1 = 0.9 (or 90%)

Step 2: Locate the critical value for the desired confidence level and degrees of freedom.

You can refer to a t-table or use statistical software to find the critical value corresponding to the confidence level and degrees of freedom. In this case, with 21 degrees of freedom and a 90% confidence level, the critical value is approximately 1.721.

Therefore, the t-value such that the area left of it is 0.1 (with 21 degrees of freedom) is approximately 1.721.