During each period of the first experiment, you were placed into groups of 5 people. At the start of each period, everyone in the group had to guess a number between 0 to 100. After this, the average of the 5 numbers guessed was calculated and one person in the group won a prize of $13. The winning group member was the person who guessed the number closest to some fraction, , of the group's average. In periods 1-5, = 1 2 . Therefore, the group member who guessed the number closest to 1 2 *average value of the group that period won $13 while the rest of the group members received $0. (In any case where there was a tie for the closest guess, the $13 prize value was split equally among the group members that tied for the closest number to *average.) In periods 6-10, we changed the value of p to = 4 3 . The data for this experiment is located in the Excel file on Brightspace. 1. Suppose that = 1 2 and that all 4 of the other people in your group guess the number 50. Would it be in your best interest to