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 degrees of freedom

Degrees of freedom $df=n - 1$. Given $n = 13$, so $df=13 - 1=12$.

Step2: Locate critical value in t - distribution table

For a two - tailed test with $\alpha = 0.10$ and $df = 12$, looking up the t - distribution table. The critical values are $\pm t_{\alpha/2,df}$. Here $\alpha/2=0.10/2 = 0.05$. From the t - distribution table, $t_{0.05,12}=1.782$. So the critical values are $\pm 1.782$.

Answer:

$\pm 1.782$