In an experiment involving a t-distribution, we have a sample size of 15 and we want to find the critical t-value for a two-tailed test with a significance level of 0.05. What is the critical t-value?

Step 1 ：Step 1: Recognize that this is a two-tailed test, so the significance level is divided by 2. So, \(\alpha/2 = 0.05/2 = 0.025\)

Step 2 ：Step 2: The degrees of freedom for a t-distribution is given by the sample size minus 1. So, \(df = n-1 = 15-1 = 14\)

Step 3 ：Step 3: Use a t-distribution table or a calculator with a t-distribution function to find the critical t-value. We look up the t-value that corresponds to a cumulative probability of 1 - \(\alpha/2\) and 14 degrees of freedom.