# Question: Two mating parts have critical dimensions x1 and x2 as

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 the probability of a smaller clearance (i.e., x1 − x2) than 0.09 should be 0.006, what distance between the average dimension of the two parts (i.e., 1 − 2) should be specified by the designer?

## Answer to relevant Questions

An assembly of two parts is formed by fitting a shaft into a bearing. It is known that the inside diameters of bearings are normally distributed with mean 2.010 cm and standard deviation 0.002 cm, and that the outside ...How large a sample is required to obtain a natural tolerance interval that has probability 0.90 of containing 95% of the distribution? After the data are collected, how would you construct the interval? 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 – ...Consider the “minute clinic” waiting time data in Exercise 6.66. These data may not be normally distributed. Set up a EWMA control chart using = 0.1 for monitoring this process. Does the process seem to be in ...Rework Exercise 9.23 using an EWMA with = 0.10. = 0.1; L = 2.7; CL = 0 = 734.5; = 108.7Post your question