QUESTIONS

1- A project manager at Q Corporation is committed to delivering 200 cylinders to a customer. The internal diameter of these cylinders must be 60 centimeters. The tolerance is +1 and -0.5 centimeters. If the mean value of the production process is 60.4 and the standard deviation is 0.5,

a-Calculate the process capability index (CP and CPk) and indicate if the process is capable.

b- How many cylinders should the PM produce for 200 of them to meet specifications?

c-What should be the standard deviation for the process to become capable? Note the process is not centered.

2- A product has specification limits of 18 to 20.If the process mean is 19.2, and the standard deviation is 0.6, calculate:

a- The processing capability for this production line.

b- Is the process Cable?

c- What % of the products are out of specs, if any?

d- What should be the process standard deviation for the process to become capable?

3- An IT organization has a service level agreement (SLA) with a significant customer requiring that tier 1 calls/problems be resolved within 12 hours.A penalty of $150 for each call that takes more than 12 hours to resolve.

The IT manager has developed the following data:

The average daily volume of tier-one calls is 30, with a standard deviation of 8 calls

The mean processing time in the center is 10 hours with a standard deviation of 1.1 hours

a-.Calculate the % daily tier 1 problems that miss the SLA.

b-Estimate the annual penalty cost to the center.

c-If John was the manager, would he add another technician to the help desk to avoid the penalty cost? Why or why not.