Consider the assembly of three components shown in Figure 9-22. The tolerances for these three components are given in Table 9-8. Assume that the tolerances on the components are independent of each other and that the lengths of the components are normally distributed with a capability ratio of 1. What is the tolerance of the gap?

Assuming normality, if specifications for the gap are 0.9± 0.201 cm, what proportion of the assemblies will not meet specifications? How could the proportion of nonconforming assemblies be reduced?

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B Gap FIGURE 9-22 Assembly of three components. TABLE 9-8 Component Mean Length (cm) Tolerance (cm) A B C 10 100.5 4 40.2 5 50.1