# Question: Two parts are assembled as shown in Figure 6 28 Assume

Two parts are assembled as shown in Figure 6.28. Assume that the dimensions x and y are normally distributed with means x and y and standard deviations x and y, respectively. The parts are produced on different machines and are assembled at random. Control charts are maintained on each dimension for the range of each sample (n = 5). Both range charts are in control.

(a) Given that for 20 samples on the range chart controlling x and 10 samples on the range chart controlling y, we have

(b) If it is desired that the probability of a smaller clearance (i.e., x – y) than 0.09 should be 0.006, what distance between the average dimensions (i.e., x − y) should be specified?

(a) Given that for 20 samples on the range chart controlling x and 10 samples on the range chart controlling y, we have

(b) If it is desired that the probability of a smaller clearance (i.e., x – y) than 0.09 should be 0.006, what distance between the average dimensions (i.e., x − y) should be specified?

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

Control charts for x and R are maintained on the tensile strength of a metal fastener. After 30 samples of size n= 6 are analyzed, we find that (a) Compute control limits on the R chart. (b) Assuming that the R chart ...A hospital emergency department is monitoring the time required to admit a patient using x and R charts. Table 6E.1 presents summary data for 20 subgroups of two patients each (time is in minutes). Consider the chart in Exercise 6.55. Find the average run length for the chart. The waiting time data in Exercise 6.66 may not be normally distributed. Transform these data using a natural log transformation. Plot the transformed data on a normal probability plot and discuss your findings. Set up ...Reconsider the polymer viscosity data in Exercise 6.63. Use the median of the span-two moving ranges to estimate σ and set up the individuals control chart. Compare this chart to the one originally constructed using the ...Post your question