Final answer:
The critical t-value for a confidence level of 98% with a sample size of 13 is 2.764.
Step-by-step explanation:
To find the critical t-value for a confidence level of 98% with a sample size of 13, we need to determine the degrees of freedom. The degrees of freedom is equal to the sample size minus 1, which in this case is 13 - 1 = 12. Using a t-distribution table or calculator, we can find the critical t-value for a two-tailed test with a confidence level of 98% and 12 degrees of freedom. The correct answer is option b) 2.764.