Question

find the critical value(s) and rejection region(s) for the indicated t - test, level of significance α, and sample size n.
left - tailed test, α = 0.01, n = 26
click the icon to view the t - distribution table.
the critical value(s) is/are - 2.485.
(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 < and t >
b. t <
c. t >
d. < t <

Explanation:

Step1: Determine the degrees of freedom

The degrees of freedom \(df=n - 1\). Given \(n = 26\), then \(df=26-1 = 25\).

Step2: Locate the critical value in the t - distribution table

For a left - tailed test with \(\alpha=0.01\) and \(df = 25\), looking up in the t - distribution table, the critical value \(t_{0}\) is such that \(P(T<t_{0})=\alpha\). The critical value \(t_{0}=- 2.485\).

Step3: Define the rejection region

For a left - tailed test, the rejection region is \(t

Answer:

The critical value is \(-2.485\). The rejection region is \(B. t < - 2.485\)