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 4.032.
(round to the nearest thousandth as needed. use a comma to separate answers as needed.)
determine the rejection region(s). select the correct choice below and fill in the answer box(es) within your choice.
(round to the nearest thousandth as needed.)
○ a. t <
○ b. t >
○ c. < t <
○ d. t < and t >

Explanation:

Step1: Determine degrees of freedom

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

Step2: Locate critical value in t - distribution table

For a right - tailed test with \(\alpha=0.005\) and \(df = 5\), from the t - distribution table, the critical value \(t_{\alpha}=4.032\).

Step3: Define rejection region for right - tailed test

In a right - tailed t - test, the rejection region is where the test statistic \(t\) is greater than the critical value. So the rejection region is \(t>4.032\).

Answer:

B. \(t > 4.032\)