Answer:
[tex]t = 3.673900[/tex]
Step-by-step explanation:
Given
[tex]df = 28[/tex] -- degree of freedom
[tex]Area = 0.005[/tex]
Required
Determine the t-value
The given parameters can be illustrated as follows:
[tex]P(T > t) = \alpha[/tex]
Where
[tex]\alpha = 0.005[/tex]
So, we have:
[tex]P(T>t) = 0.005[/tex]
To solve further, we make use of the attached the student's t distribution table.
From the attached table,
The t-value is given at the row with df = 28 and [tex]\alpha = 0.005[/tex] is 3.673900
Hence, [tex]t = 3.673900[/tex]