A company has been asked by an important customer to demonstrate that its process capability ratio Cp exceeds 1.33. It has taken a sample of 50 parts and obtained the point estimate Cp = 152. Assume that the quality characteristic follows a normal distribution. Can the company demonstrate that Cp exceeds 1.33 at the 95% level of confidence? What level of confidence would give a one-sided lower confidence limit on Cp that exceeds 1.33?
Answer to relevant QuestionsSuppose that a quality characteristic has a normal distribution with specification limits at USL = 100 and LSL = 90. A random sample of 30 parts results in x = 97 and s = 1.6. (a) Calculate a point estimate of Cpk. (b) Find ...An operator-instrument combination is known to test parts with an average error of zero; however, the standard deviation of measurement error is estimated to be 3. Samples from a controleld process were analyzed, and the ...Reconsider the gauge R&R experiment in Exercise 8.34. Calculate the quantities SNR and DR for this gauge. Discuss what information these measures provide about the capability of the gauge. Two mating parts have critical dimensions x1 and x2 as shown in the figure. Assume that x1 and x2 are normally distributed with means 1 and 2 and standard deviations 1 = 0.400and 2 = 0.300. If it is desired that ...Find the sample size required to construct an upper nonparametric tolerance limit that contains at least 95% of the population with probability at least 0.95. How would this limit actually be computed from sample data?
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