# Question

Consider a T2 control chart for monitoring p = 6 quality characteristics. Suppose that the subgroup size is n= 3 and there are 30 preliminary samples available to estimate the sample covariance matrix.

m = 30 preliminary samples, n = 3 sample size, p = 6 characteristics, a = 0.005

(a) Find the phase II control limits assuming that a = 0.005.

(b) Compare the control limits from part (a) to the chi-square control limit. What is the magnitude of the difference in the two control limits?

(c) How many preliminary samples would have to be taken to ensure that the exact phase II control limit is within 1% of the chi-square control limit?

m = 30 preliminary samples, n = 3 sample size, p = 6 characteristics, a = 0.005

(a) Find the phase II control limits assuming that a = 0.005.

(b) Compare the control limits from part (a) to the chi-square control limit. What is the magnitude of the difference in the two control limits?

(c) How many preliminary samples would have to be taken to ensure that the exact phase II control limit is within 1% of the chi-square control limit?

## Answer to relevant Questions

Rework Exercise 11.5, assuming that the subgroup size is n = 5. m = 30 preliminary samples, n = 5 sample size, p = 6 characteristics, = 0.005 (a) Find the phase II control limits assuming that = 0.005. (b) Compare ...Use the data in Exercise 12.9 to construct a bounded adjustment chart. Use = 0.2 and set L = 4. How does the bounded adjustment chart perform relative to the integral control adjustment procedure in part (a) of Exercise ...Rework Exercise 12.7 using = 0.4 and L = 15. What differences in the results are obtained? A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part because it can lead to non-recoverable failure. A test is run at the parts ...Consider the leaf spring experiment in Exercise 14.9. Suppose that factor E (quench oil temperature) is very difficult to control during manufacturing. We want to have the mean spring height as close to 7.50 as possible with ...Post your question

0