Question

find the critical value(s) and rejection region(s) for the indicated t - test, level of significance α, and sample size n.
right - tailed test, α = 0.005, n = 6
click the icon to view the t - distribution table.
the critical value(s) is/are(round to the nearest thousandth as needed. use a comma to separate answers as needed.)

Explanation:

Step1: Calculate degrees of freedom

Degrees of freedom \(df=n - 1\). Given \(n = 6\), so \(df=6-1 = 5\).

Step2: Find critical value from t - distribution table

For a right - tailed test with \(\alpha=0.005\) and \(df = 5\), looking up the t - distribution table. The critical value \(t_{\alpha}\) is such that \(P(T>t_{\alpha})=\alpha\) (where \(T\) follows a t - distribution with \(df\) degrees of freedom). From the t - distribution table, \(t_{0.005,5}=4.032\).

Answer:

\(4.032\)