Question

The quality manager of XV2 Corp. has asked you to analyze some data that has already been collected for a capacity study. The sample consists of thirty data and it is required that the analysis be carried out for two quality characteristics (CTQ's), with tolerance in only one direction, whose behavior can be adequately modeled by Gaussian behaviour. The first has a high level of risk, for which an interval of 95% confidence and 99% reliability has been established. The second characteristic has an intermediate level of risk and for this a level of 95% confidence and 95% reliability have been established. The manager tells him that the SOP ("Standard Operating Procedure*) establishes as acceptance criteria for both cases that the estimated cpk must exceed 1.33.

a) Do you agree with the SOP?
b)The criteria for the estimated Cpk in the CTQ95%-99% is
c)The criteria for the estimated Cpk in the CTQ 95%95% is

Answer 1

a) The SOP requires the estimated cpk to exceed 1.33 for both quality characteristics. b) The acceptance criteria for CTQ95%-99% is also an estimated Cpk value greater than 1.33. c) The acceptance criteria for CTQ95%-95% is the same as CTQ95%-99%, with an estimated Cpk value above 1.33.

Step-by-step explanation:

a) The SOP states that the estimated cpk must exceed 1.33 for both quality characteristics.

This means that the process needs to be capable of producing products within the required specifications.

b) For the CTQ95%-99%, the acceptance criteria for the estimated Cpk should be greater than 1.33, as specified in the SOP. This ensures that the process is capable of producing products with a high level of reliability.

c) For the CTQ95%-95%, the acceptance criteria for the estimated Cpk should also be greater than 1.33, as stated in the SOP. However, since the reliability requirement is lower than the CTQ95%-99%, the process does not need to be as stringent in terms of producing products within the required specifications.