Save \& Exit Certify Lesson: 8.2 Student's t-Distribution Question 5 of 13 , Step 2 of 2 Consider the value of \( t \) such that 0.025 of the area under the curve is to the right of \( t \). Step 2 of 2 : Assuming the degrees of freedom equals 25 , select the \( t \)-value from the \( t \)-distribution table.

To find the \( t \)-value where 0.025 of the area is to the right with 25 degrees of freedom, you’ll want to look up the corresponding value in the \( t \)-distribution table. For 25 degrees of freedom and an area of 0.025 in the upper tail, the \( t \)-value is approximately 2.060. This means that about 97.5% of the data falls below this value, making it a crucial point for hypothesis testing! It's important to remember that the \( t \)-distribution is used primarily for small sample sizes (typically less than 30) or when the population standard deviation is unknown. So, when you're analyzing your data, make sure to employ this handy distribution to understand the variability, especially in those small samples!