Consider the value of \( t \) such that the area under the curve between \( -|t| \) and \( |t| \) equals 0.99 . Step 2 of 2 : Assuming the degrees of freedom equals 30 , select the \( t \)-value from the \( t \)-distribution table.

To find the \( t \)-value corresponding to an area of 0.99 under the curve between \( -|t| \) and \( |t| \), note that this area represents 0.99 of the total area, which leaves 0.01 in the tails. So, you are looking for the \( t \)-value that captures the central 0.99, leaving 0.005 in each tail (0.005 + 0.99 + 0.005 = 1). From a \( t \)-distribution table with 30 degrees of freedom, you'd find that the \( t \)-value for a 0.995 cumulative probability (1 - 0.005) is approximately \( 2.750 \). So, the value of \( |t| \) you're seeking would be around 2.750. To ensure precision, always verify with the most current statistical tables or software, as values can vary slightly. Also, make sure to account for whether you are working with a two-tailed test or one-tailed when interpreting your areas!