Question

using the t distribution table, find the critical value(s) for the t test for a two - tailed test with ( n = 13 ) and ( alpha=0.10 ). enter the answers separated by a comma if needed. critical value(s) =

Explanation:

Step1: Calculate the degrees of freedom

The degrees of freedom \(df=n - 1\). Given \(n = 13\), so \(df=13-1 = 12\).

Step2: Locate the critical value in the t - distribution table

For a two - tailed test with \(\alpha=0.10\) and \(df = 12\), looking at the t - distribution table (the column for two - tailed \(\alpha = 0.10\) and the row for \(df=12\)), we get the critical value \(t=\pm1.782\).

Answer:

\(\pm 1.782\)