Question

Find the t-value such that the area in the right tail is 0.005 with 28 degrees of freedom.

Answer 1

Answer:

$t = 3.673900$

Step-by-step explanation:

Given

$df = 28$ -- degree of freedom

$Area = 0.005$

Required

Determine the t-value

The given parameters can be illustrated as follows:

$P(T > t) = \alpha$

Where

$\alpha = 0.005$

So, we have:

$P(T>t) = 0.005$

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 $\alpha = 0.005$ is 3.673900

Hence, $t = 3.673900$