Problem
For a t-curve with $\mathrm{df}=13$, use a t-distribution table to find the $t$-value $t_{0.01}$. Click here to view page 1 of the table of $t$-values for the $t$ distribution. Click here to view page 2 of the table of $t$-values for the $t$ distribution. $t_{0.01}=\square$ (Type an integer or a decimal. Round to three decimal places as needed.)
Solution
Step 1 ：For a t-curve with df=13, we need to find the t-value \(t_{0.01}\).
Step 2 ：We use a t-distribution table to find this value.
Step 3 ：The t-value is calculated using the formula \(t_{0.01} = t.ppf(1 - alpha, df)\), where alpha is 0.01 and df is 13.
Step 4 ：After calculating, we find that \(t_{0.01} = 2.6503088378527013\).
Step 5 ：Rounding to three decimal places, we get the final answer: \(t_{0.01} = \boxed{2.650}\).
