Sid Levinson is a doctor who specializes in the knowledge and effective use of pain-killing drugs for the seriously ill. In order to know approximately how many nurses and office personnel to employ, he has begun to keep track of the number of patients he sees each week. Each week his office manager records the number of seriously ill patients and the number of routine patients. Sid has reason to believe that the number of routine patients per week would look like a bell-shaped curve if he had enough data. (This is not true of seriously ill patients.) However, he has been collecting data for only the past five weeks. Seriously ill patients 33 50 22 27 48 Routine patients 34 31 37 36 27 (a) Calculate the mean and variance for the number of seriously ill patients per week. Use Chebyshevs theorem to find boundaries within which the middle 75 percent of num- bers of seriously ill patients per week should fall. (b) Calculate the mean, variance, and standard deviation for the number of routine patients per week. Within what boundaries should the middle 68 percent of these weekly num- bers fall?