# Question: A normally distributed quality characteristic has specification limits at LSL

A normally distributed quality characteristic has specification limits at LSL = 50 and USL = 60. A random sample of size 35 results in x 55.5 and s 0.9.

(a) Calculate a point estimate of Cpk.

(b) Find a 95% confidence interval on Cpk.

(c) Is this a 6-sigma process?

(a) Calculate a point estimate of Cpk.

(b) Find a 95% confidence interval on Cpk.

(c) Is this a 6-sigma process?

**View Solution:**## Answer to relevant Questions

Consider a simplified version of equation 8.19 (below). Note that this was obtained by assuming that the term 9n in equation 8.19 will probably be large. Rework Exercise 8.24 using this equation and compare your answer to ...In a study to isolate both gauge repeatability and gauge reproducibility, two operators use the same gauge to measure ten parts three times each. The data are shown in Table 8E.10. (a) Estimate gauge repeatability and ...A rectangular piece of metal of width W and length L is cut from a plate of thickness T. If W, L, and T are independent random variables with means and standard deviations as given here and the density of the metal is 0.08 ...Sample of 25 measurements on a normally distributed quality characteristic has a mean of 85 and a standard deviation of 1. Using a confidence probability of 0.95, find a value such that 90% of the future measurements on this ...A process is in statistical control with x = 39.7 and R = 2.5. The control chart uses a sample size of n= 2. Specifications are at 40 ± 5. The quality characteristic is normally distributed. USL = 40 + 5 = 45; LSL = 40 – ...Post your question