Question

explain how to find the critical values for a t - distribution. click the icon to view the t - distribution table. give the first step. choose the correct answer below. a. identify the level of significance \\( \frac{\alpha}{2} \\) and the degrees of freedom, d.f. \\( =n - 1 \\). b. identify the level of significance \\( \alpha \\) and the degrees of freedom, d.f. \\( =n - 1 \\). c. identify the level of significance \\( \frac{1 - \alpha}{2} \\) and the degrees of freedom, d.f. \\( =n \\). d. identify the level of significance \\( 1 - \alpha \\) and the degrees of freedom, d.f. \\( =n \\).

Explanation:

To find the critical values for a t - distribution, the first step is to identify the level of significance ($\alpha$) which represents the probability of making a Type I error (rejecting a true null hypothesis). The degrees of freedom for a one - sample t - test (which is a common case when dealing with t - distributions in basic hypothesis testing) is given by $d.f.=n - 1$, where $n$ is the sample size.

Answer:

B. Identify the level of significance $\alpha$ and the degrees of freedom, $d.f.=n - 1$.