Answer:
We can find the critical value ![t_{\alpha/2}](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%7D)
And for this case if the confidence increase the critical value increase so then this statement is True
Step-by-step explanation:
For a confidence level given c, we can find the significance level like this:
![\alpha=1 -c](https://tex.z-dn.net/?f=%20%5Calpha%3D1%20-c)
And with the degrees of freedom given by:
We can find the critical value ![t_{\alpha/2}](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%7D)
And for this case if the confidence increase the critical value increase so then this statement is True