A supplier claims to have a product specification of 5 +0.1 kg in weight. According to its machine operator's record, the production process actually has the sample mean of 5.02 kg and a standard deviation of 0.04 kg. Calculate the process capability index for this supplier. What is your conclusion of the supplier's quality performance? Cpk - 0.67, the process has not even reached a 3-sigma quality Cpk = 1.33, the process has achieved a 6-sigma quality Cpk = 1.33, the process has achieved a 3-sigma quality Cpk - 2, the process has achieved a 6-sigma quality Cpk - 2. the process has achieved a 3-sigma quality I and III IV A bank finds that on average there are 20 customers waiting in line in front of one teller. However, a consultant suggests that the average queue length according to the queuing model (M/M/1) should only be 10. The bank manager suspects that the consultant underestimates both the customer arrival rate and the service rate by 50%. However, the consultant suggests that this should not be a reason for the discrepancy. Is the consultant correct? No, because a higher service rate should reduce the average waiting time when the arrival rate increases at the same time Yes, because the calculated queue length should be the same even if the arrival rate and service rate are reduced by 50% Yes, because a 50% change in the arrival and service rates will lead to 100% change in the queue length No, because a higher arrival rate means a higher throughout rate and thus a longer queue length according to the Little's law No, because a higher arrival rate increases variation in service time and thus a longer queue length
