The critical value t* gets larger as the confidence level increases. True or false?

We can find the critical value

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:

And with the degrees of freedom given by:

We can find the critical value

And for this case if the confidence increase the critical value increase so then this statement is True