Problem 3: Basic Statistics (20 pts) Four managers at Microsoft participate in a training program on conict resolution. As the Vice President of HR at Microsoft, you wish to assess whether their ability to manage conicts improved the well-being and job satisfaction of the teams they manage. The below table reports the ratings each manager was given by his or her team. Ratings are out of 10, with 0 being the lowest well-being score and 10 being the highest well-being score. Worker # Team 1 Team 2 Team 3 Team 4 Rating before training 2 8 3 5 Rating after training 4 8 6 5 a. The following questions ask about ratings prior to training among the four managers. Round your answers to the nearest hundredth. You must show your calculations to receive full credit! (10 pts) i. What is the mean rating among the four teams? (2 pts) ii. What is the median rating? (2 pts) iii. What is the variance in ratings? (2 pts) iv. What is the standard deviation in ratings? (2 pts) v. What is the minimum rating? (2 pts) b. The following questions ask about ratings after training among the four managers. Round your cal- culations to 4 digits after the decimal point. You must show your calculations to receive full credit!r (10 NS) i. What is the mean rating? (2 pts) ii. What is the median rating? (2 pts) I-I. p.\" I-I. What is the variance in ratings? (2 pts) iv. What is the standard deviation in ratings? (2 pts) v. What is the maximum rating? (2 pts)