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Customers of a mortgage bank expect to have mortgage applications processed within 35 working days of submission. Given that the processing time at the bank can be modelled by the N (28, 32) distribution, verify that 99% of applications would be processed within 35 working days. Following a successful Six Sigma project aimed at reducing processing time, it was found that, although variability in processing time was unchanged, the mean had dropped to 19 working days. The bank wishes to inform prospective customers that '99 times out 100 we can process your application in q working days'. Assuming that the normal distribution is still an adequate model, find out q.

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