0 ick Start Company makes 12 volt car batterw s. After many years of product tes

Question

0 ick Start Company makes 12 volt car batterw s. After many years of product testra the company knowsthat the average lfe or a Quek stat battery s normaa months and a standard deviation of 7.7 months. htib ted, wth a mean (a) If Quick Start quarantees a hullreflund on any battery that fadls within the 36 month period ater purchase, what percentage of its battories willthe company expect to replace? (Round answer to two decimal places.) Sf Qu k Start does not want to make refunds for more than 14% of its batteries under the fu re nd iarartee poky for how long sh uid Ehe c mpany guaratee the battens to the nearest month)? months Need Help?a

Explanation / Answer

a) P(X < 36)

= P(z < (36 - 44.8)/7.7)

= P(z < -1.14)

= 12.65%

b) z score corresponding to 14% area to its left = -1.08

Hence,

Guarantee months = 44.8 - 1.08*7.7 = 36.48 = 36 months [Rounded off to nearest month]

b)

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