Question

Find to 3 decimal places the value of t for the distribution for the following.

Area in the left tail 0.005 and n= 25.

Answer 1

-2.797

Step-by-sep explanation:

The area in the left tail is the level of significance =
`\alpha = 0.005`

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:

`-t\binom{n - 1}{\alpha} = -t\binom{9}{0.005}`

The t critical value can be gotten from the t-table at the intersection of the row representing 24 degrees of freedom and the
`t_(0.005)` column. This would give us -2.797

The t critical value of the left tail would be critical value is -2.797.