Question

determine the t - value in each of the cases. click the icon to view the table of areas under the t - distribution (a) find the t - value such that the area in the right tail is 0.25 with 5 degrees of freedom (round to three decimal places as needed)

Explanation:

Step1: Recall the t - distribution table

We use the t - distribution table (or a statistical software/ calculator with t - distribution functionality). The t - distribution table has rows for degrees of freedom and columns for the area in the right - tail.

Step2: Locate the row and column

We are given that the degrees of freedom \(df = 5\) and the area in the right - tail \(A=0.25\).
Looking at the t - distribution table, for \(df = 5\) and the column corresponding to an area of \(0.25\) in the right - tail.

Answer:

\(0.727\)