Suppose that 20 of the parts manufactured by the processes in Exercise 8.9 were assembled so that...

Question

Suppose that 20 of the parts manufactured by the processes in Exercise 8.9 were assembled so that their dimensions were additive; that is,

x =x₁ + x₂ +. . . +x₂₀

Specifications on x are 2000 ±200. Would you prefer to produce the parts using process A or process B?

Why? Do the capability ratios computed in Exercise 8.9 provide any guidance for process selection?

Consider the two processes shown in Table 8E.1 (the sample size n =5):

Specifications are at 100 ±?10. Calculate C_p, C_pk, and C_pm and interpret these ratios. Which process would you prefer to use?

TABLE 8 E.1
Process Data for Exercise 8.9
Process A	Process B
= 100	= 105
3	= 1

David · Accepted Answer

Solution:
Part A:
Assuming that we can change the centering of the process, i would prefer to continue to use process b.  While process b was not centered, the process is tight enough to be the best choice (fewest % defective) as originally estimated in problem 7.9.  Since the variances in an additive assembly also add, the process will continue to be the tighter of the two.  
Note:
all of the guidance for this information may be derived from the capability ratios in this exercise.

Suppose that 20 of the parts manufactured by the processes in Exercise 8.9 were assembled so that their dimensions were additive; that is, x = x 1 + x 2 +. . . + x 20 Specifications on x are 2000...

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