Final answer:
To find the critical t value for a 98% confidence interval with 28 degrees of freedom, consult a t-distribution table or use a statistical calculator and look for the value at the cumulative probability of 0.99.
Step-by-step explanation:
The question asks to find the critical value of t for a 98% confidence interval with 28 degrees of freedom. To find the critical value for a two-tailed t-test at the 98% confidence level, we need to use a t-distribution table or a statistical calculator that provides the t-distribution critical values. Since the confidence interval is 98%, the area in each tail is 1% (since 100%-98% = 2% and it is split between the two tails of the distribution).
Using a t-distribution table or calculator with 28 degrees of freedom and looking up the value corresponding to a cumulative probability of 0.99 (since we want the area to the left of the critical value to be 98% + 1%), we can find the critical t value. This is not provided in the information given, hence we will need to consult a specific t-distribution table or use statistical software to determine the exact value. The options given in the question are estimates, and we must choose the closest estimate according to our findings from the table or software.