Question

determine the critical value for a right - tailed test of a population mean at the \\( \alpha=0.01 \\) level of significance with 8 degrees of freedom. round to three decimal places
\\( \bigcirc \\) a. 2.896
\\( \bigcirc \\) b. 4.501
\\( \bigcirc \\) c. 2.998
\\( \bigcirc \\) d. - 2.896

Explanation:

Step1: Recall the t - distribution table usage

For a right - tailed test with significance level \(\alpha = 0.01\) and degrees of freedom \(df=8\).

Step2: Look up the value in the t - distribution table

In the t - distribution table, we find the row corresponding to \(df = 8\) and the column corresponding to the one - tailed \(\alpha=0.01\). The value is \(t = 2.896\).

Answer:

A. 2.896