Question

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

Answer 1

We can find the critical value
`t_(\alpha/2)`

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

Explanation:

For a confidence level given c, we can find the significance level like this:

`\alpha=1 -c`

And with the degrees of freedom given by:

`df=n-1`

We can find the critical value
`t_(\alpha/2)`

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