#30 Guarantee: Watches Accrotime is a manufacturer of quartz crystal watches. Accrotime researches haves shown that the watches they make have an average life of 28 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 5 months, and the distribution of lifetimes is normal. (a) To offer a full refund guarantee on any defective watch for 2 years after purchase, what percentage of total production should the company expect to replace? (b) If Accrotinme does not want to make refunds on more than 12% of the watches it makes, how long should the guarantee period be ( to the nearest month)?

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