Q1) Supplier quotes a Cp value of 1.7. After discussion with representatives, you find out that they are computing standard deviation as you wish, buy you are concerned that they had sample size of only 20. Find out a 95% confidence level for population Cp.

Q2) Tensile strength of metal part is normally distributed with mean 40LB and standard deviation 5LB. If 50,000 parts are produced, how many would you expect to fail to meet minimum specification limit of 35LB tensile strength? How many would have tensile strength in excess of 48LB?

Q3) A mechatronic assembly is subjected to final functional test. Assume that defects happen at random in these assemblies and which defects occur according to Poisson distribution with parameter λ = 0.02

i) Determine the probability that assembly will have exactly one defect?

ii) Determine the probability that an assembly will have one or more defects?

iii) Assume that you improve process so that occurrence rate of defects is cut in half to λ = 0.01. What effect does this have on probability that assembly will have one or more defects?