A product is required to be produced with the specification limits as UsL=7 mm; LSL=3 mm. With given u-5mm and a =0.5mm values for the process, discuss the alternative (a, b, c) options after answering (i) and (i). 

a) Sampling n=10 measurements every hour 

b) Sampling n=5 measurements every half hour. 

c) Samplingn=15 measurements every 2 hours 

i. Find the 30 control limits for each option (UCL, LCL)

 ii. What is the false alarm probability (detecting out-of-control signal, when process is in control)? 

iii. What is the probability of detecting a mean shift of 0.5 mm (one sigma) in the next sample following the shift? 

iv. What is the expected number samples to detect the shift?

v. What is the average time to signal (hour)?

Answer rating: 100% (QA)

i To find the control limits UCL LCL for each option we need to use the following formulas UCL z2 nLCL z2 n where is the mean of the process is the st... View the full answer