Question 10 of 15
This test: 50 point(s) possible
This question: 3 point(s) poss
Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance $\alpha$, and sample size $n$.
Right-tailed test, $\alpha=0.005, \mathrm{n}=20$
Click the icon to view the t-distribution table.

The critical value(s) is/are $\square$.
(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. $t> \square$
c. $\square< \mathrm{t}< $
B. $t< \square$
D. $t< \square$ and $t> \square$

Step 1 ：Given values are right-tailed test, level of significance \(\alpha=0.005\), and sample size \(n=20\).

Step 2 ：Calculate the degrees of freedom as \(df = n - 1 = 20 - 1 = 19\).

Step 3 ：Find the critical value using the t-distribution table. The critical value is the t-value such that the area to its right under the t-distribution curve is equal to the level of significance \(\alpha\).

Step 4 ：Using the t-distribution table, the critical value is approximately 2.861.

Step 5 ：The rejection region for a right-tailed test is all values greater than the critical value. So, in this case, the rejection region is all t-values greater than 2.861.

Step 6 ：Final Answer: The critical value is \(\boxed{2.861}\). The rejection region is \(t>\boxed{2.861}\).