Question

1. Make sure the inputs are set to df = 20 and p-value of 0.05 (critical value for t will adjust automatically). Now reduce degrees of freedom to 15, then to 10, and then to 5. What happens to the critical value for t?

Answer 1

Answer:

It moves inwards towards the center of the distribution

Explanation:

It is given :

Number of degrees of freedom , df = 19

α = 0.05

α/2 = 0.05/2 = 0.025

Therefore, $t_{\alpha/2, df} = t_{0.025,19} = \pm 2.093$

So critical value of t = ± 2.093

Therefore, the curve moves towards the center of the distribution.