# HW10 - 8.32_—.— v Consider the situation in Example 8.7...

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Unformatted text preview: 8.32. . _—.—- v- - Consider the situation in Example 8.7. A new gauge is being evaluated for this process. The same opera- tor measures the same 20 parts twice using the new _ gauge and obtains the data shown in Table 8E.6. (a) What can you say about the performance of the new gauge relative to the old one? (b) If speciﬁcations are at 25 i 15, what is the P/T ratio for the new gauge? Three parts are assembled in series so that their crit— ical dimensions x1, x2, and x3 add. The dimensions of each part are normally distributed with the following parameters: 11, = 100, a, = 4, “2 = 75, 02 = 4, ‘13 = 75, and 0'3 = 2. What is the probability that an assem- bly chosen at random will have a combined dimen- sion in excess of 262? A product is packaged by ﬁlling a container com- pletely full. This container is shaped as shown in the ﬁgure. The process that produces these containers is examined, and the following information collected on the three critical dimensions: Variable Mean Variance L—Length 6.0 0.01 H—Height 3.0 0.01 w—Wldth 4.0 0.01 I" i’.’ ’0: ‘.‘/1’ Assuming the variables to be independent, what are approximate values for the mean and variance of container volume? Two mating parts have critical dimensions x1 and :2 as shown in the ﬁgure. Assume that x] and x2 are nor- mally distributed with means ,ttl and ya and standard deviations o] = 0.400 and 0': = 0.300. If it is desired that the probability of a smaller clearanee (Le, x] — x2) than 0.09 should be 0.006. what distance between the average dimension of the two parts (i.e., u. - pa) should be speciﬁed by the designer? T r J“1 J"2 I .1 .v_ ...
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HW10 - 8.32_—.— v Consider the situation in Example 8.7...

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