Question

using the t distribution table, find the critical value(s) for the t test for a two - tailed test with ( n = 20 ) and ( alpha=0.05 ). enter the answers separated by a comma if needed. critical value(s) =

Explanation:

Step1: Calculate degrees of freedom

Degrees of freedom \(df=n - 1\). Given \(n = 20\), so \(df=20-1 = 19\).

Step2: Locate critical value in t - distribution table

For a two - tailed test with \(\alpha=0.05\) and \(df = 19\). Looking at the t - distribution table, the critical values are \(\pm t_{\alpha/2,df}\). Since \(\alpha=0.05\), \(\alpha/2=0.025\). From the t - table, \(t_{0.025,19}=2.093\)

Answer:

\(- 2.093,2.093\)