Suppose 12 people are asked to rate themselves in terms of their accumulated wisdom. The first 11 people, being humble, give themselves a zero. The 12th person--with gigantic arrogance--responds by saying, "I have infinite wisdom." Suppose you are asked to convert the 12th person's self-rating ("infinity") into a z-score. With the reference group defined as the 12 people from whom self-ratings on wisdom are gathered, and with the data being 11 zeroes and positive infinity, what is the z-score for the 12th person's self rating? (Provide the z-score along with an explanation of how you determined this.)