Extensive testing indicates that the lifetime of the Everlast automobile battery

Question

Extensive testing indicates that the lifetime of the Everlast automobile battery is normally distributed with a mean = 60 months and a standard deviation = 6 months. The manufacturer has decided to offer a free replacement battery to any purchaser whose Everlast battery does not last at least as long as the minimum lifetime specified in its guarantee. What minimum life time, in months, should the manufactured establish as the guarantee period so that only 1% of the batteries will need to be replaced free of charge? Round your answer to 2 decimal places.

Explanation / Answer

= 60, = 6

Area under the standard normal curve is 0.01 to the left of z = -2.3263

x = + z * = 60 - 2.3263 * 6 = 46.04 months

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