Final answer:
The critical t-value that corresponds to a 99% confidence level with 11 degrees of freedom is approximately 2.796.
Step-by-step explanation:
In this case, we are looking for the critical t-value that corresponds to a 99% confidence level with 11 degrees of freedom.
To find this value, we can use the Student's t-distribution table or a calculator.
Using the table, we can find that the critical t-value at a 99% confidence level with 11 degrees of freedom is approximately 2.796.