1). Mr. O'Neill has kept data for many years regarding his work in his economics class. He has noticed when he does a close inspection of the exams that he finds that 5% of students cheat with a standard deviation of 1% (YOU DO NOT NEED TO CALCULATE A NEW MEAN OR STANDARD DEVIATION!!!!!) He decides that he will use this information to create an upper control limit (UCL) and a lower control limit (LCL) using this data and he will set the limits 2 standard deviations above and below the mean. Below is data for the % of students who have cheated on his last 15 economics work: 5, 4, 3, 4, 5, 4, 6, 3, 6, 7, 5, 4, 6, 5, 7 a) What is the UCL and LCL? (2) b) Considering the UCL and LCL that Mr. O'Neill has set is the # of students cheating on the economics work in control? Explain.

2). Craig O'Neill owns a one chair pedicure shop. His customers arrive randomly throughout the day but at a average rate of 4 customers per hour. It takes Craig an average of 12 minutes to give a pedicure (show your calculations). a) What is the average number of customers waiting to get a pedicure? (1)

b) What is the average time a customer waits? (1)

c) What is the average amount of total time that a customer spends in the shop? (1)

d) What is the average utilization of Craig's time? (1) e) Is this utilization rate too high, too low, or about right? Explain. (1)