Question 13 of 13 , Step 1 of 2 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 . 8.2 student's t-Distribution Step 1 of 2 : Select the graph which best represents the given description of \( t \). Answer

In a student's t-distribution, that's symmetric and bell-shaped, if the area to the left of \(-|t|\) plus the area to the right of \(|t|\) equals 0.05, it implies that we are looking for the values of \(t\) that correspond to the outer 2.5% in each tail of the distribution. To find the correct graph, look for one that shows the central 95% of the curve between \(-|t|\) and \(|t|\), with shaded areas in both tails representing the 5% (2.5% in each tail). Additionally, keep an eye out for the degrees of freedom for the t-distribution as this can affect the shape of the graph. For example, with lower degrees of freedom, the tails will be heavier, indicating a greater probability of extreme values; as the degrees of freedom increase, the t-distribution approaches a normal distribution, resulting in lighter tails and a more defined peak at the center.