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 ( 1-alpha ) and the degrees of freedom, d.f. ( =n ). b. identify the level of significance ( \frac{alpha}{2} ) and the degrees of freedom, d.f. ( =n - 1 ). c. identify the level of significance ( alpha ) and the degrees of freedom, d.f. ( =n - 1 ). d. identify the level of significance ( \frac{1-alpha}{2} ) and the degrees of freedom, d.f. ( =n ). find the critical value(s) using the given t - distribution table in the row with the correct degrees of freedom. if the hypothesis test is left - tailed, use the \one tail, ( alpha )\ column with a negative sign. if the hypothesis test is right - tailed, use the column with a sign.

Explanation:

To find critical values for a t - distribution:

• First, identify the significance level \(\alpha\) (probability of Type I error) and degrees of freedom \(d.f.=n - 1\) (where \(n\) is the sample size).
• Then, use the t - distribution table. For a right - tailed test, use the "One tail, \(\alpha\)" column with a positive sign.

Answer:

C. Identify the level of significance \(\alpha\) and the degrees of freedom, \(d.f.=n - 1\).
For the right - tailed test: use the "One tail, \(\alpha\)" column with a positive sign.