Question 1 of 13, Step 2 of 2 Consider the value of \( t \) such that 0.01 of the area under the curve is to the left of \( t \). \( \begin{array}{l}\text { Step } 2 \text { of } 2 \text { : Assuming the degrees of freedom equals 12, select the } t \text {-value from the } t \text {-distribution } \\ \text { table. } \\ \text { Correct }\end{array} \) Answer

To find the \( t \)-value such that 0.01 of the area under the curve is to the left of \( t \) with 12 degrees of freedom, you will want to look at the \( t \)-distribution table. For 12 degrees of freedom, you would look for the row corresponding to 12 and find the column that specifies the cumulative probability of 0.01. You will find a \( t \)-value of approximately -2.681. This tells you that only 1% of the distribution falls below this value. Now, if you want to double-check your findings or need extra clarity, utilizing statistical software or online calculators can provide not only precise values but also visual representations of the \( t \)-distribution. Keep in mind that as the degrees of freedom increase, the \( t \)-distribution approaches the standard normal distribution, making these \( t \)-values increasingly similar to the corresponding \( z \)-values.