Answer:
-2.797
Step-by-sep explanation:
The area in the left tail is the level of significance = [tex] \alpha = 0.005 [/tex]
n = 25
Since sample size, n, = 25,
Degree of freedom = n - 1 = 25 - 1 = 24
The value of t for the t distribution, that is the t critical value, would be:
[tex] -t\binom{n - 1}{\alpha} = -t\binom{9}{0.005} [/tex]
The t critical value can be gotten from the t-table at the intersection of the row representing 24 degrees of freedom and the [tex] t_{0.005} [/tex] column. This would give us -2.797
The t critical value of the left tail would be critical value is -2.797.
