Step 1 :The critical value t is used in a t-distribution to find the margin of error. The t-distribution is used when the population standard deviation is unknown and the sample size is small.
Step 2 :The critical value t is found by looking up the confidence level and degrees of freedom in a t-distribution table. In this case, the confidence level is 95% and the degrees of freedom is n-1 = 36-1 = 35.
Step 3 :The critical value for t is 2.03.
Step 4 :Final Answer: The critical value \(t_{\alpha / 2}\) used for finding the margin of error is \(\boxed{2.03}\).