Step 1 :The problem is asking for the critical value of t for a given confidence interval and degrees of freedom. The critical value of t is the value that separates the region where the null hypothesis is rejected from the region where it is not rejected. It can be found using the t-distribution table or using a statistical software.
Step 2 :For part a, the confidence level is 98% or 0.98 and the degrees of freedom is 10.
Step 3 :For part b, the confidence level is 99% or 0.99 and the degrees of freedom is 104.
Step 4 :Using a statistical software, we find that the critical value of t for a 98% confidence interval with df=10 is approximately 2.76, and the critical value of t for a 99% confidence interval with df=104 is approximately 2.62. These values are rounded to two decimal places as needed.
Step 5 :Final Answer: For a 98% confidence interval with df=10, the critical value of t is approximately \(\boxed{2.76}\). For a 99% confidence interval with df=104, the critical value of t is approximately \(\boxed{2.62}\).