Question

The question is: Find the critical​ t-value that corresponds to 99​% confidence. Assume 23 degrees of freedom (round to 3 decimal places as needed).

Answer 1

we can use the table values of t distributionto get the critical value of t that correponds to any given level of confidence for any given degree of freedom.

Here we have 99% confidence level and 23 degrees of freedom. In table values, for confidence interval we use the two sided values.

Below is the t table values and the corresponding value is pointed.

Hence, critical​ t-value that corresponds to 99​% confidence with 23 degrees of freedom = 2.807