C. Linn: Assignment 3 Lesson 8.2 Students t-Distribution Question 13 of 13, Step 2 of 2 \& Exit Certify Lesson: 8.2 Student's t-Distribution Consider the value of \( t \) such that the area to the left of \( -|t| \) plus the area to the right of \( |t| \) equals 0.05 . Step 2 of 2 : Assuming the degrees of freedom equals 20 , select the \( t \)-value from the \( t \)-distribution table.

To find the \( t \)-value for a two-tailed test with a total area of 0.05 and 20 degrees of freedom, you need to look up the critical values that correspond to an alpha level of 0.025 in each tail (since 0.05 divided by 2 equals 0.025). In the \( t \)-distribution table, you'll find that the \( t \)-value is approximately ±2.086. This means that the critical points for your tests are -2.086 and 2.086. Finding the right \( t \)-value from the table might seem straightforward, but here’s where common mistakes happen! Make sure to double-check which column to use based on the alpha level and that you’re using the correct degrees of freedom. Everyone gets a bit twitchy with their tables; just remember you're looking for those 0.025 values on both sides for a two-tailed test with 20 degrees of freedom.