Carrie and vicki are both enthusiastic players of a certain computer game. over the past year, carrie’s mean score when playing the game is 12,400 with a standard deviation of 1500. during the same period, vicki’s mean score is 14,200, with a standard deviation of 2000. they devise a fair contest: each one will play the game once, and they will compare z-scores. carrie gets a score of 14,000, and vicki gets a score of 16,000. calculate their z-scores and determine who won the contest.