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.)

Answer

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Answer

Rounding to three decimal places, we get the final answer: \(t_{0.01} = \boxed{2.650}\).

Steps

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: \(t_{0.01} = \boxed{2.650}\).

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