Homework Help: Statistics

Posted by Brea on Thursday, November 24, 2011 at 11:08pm.

Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 70 tire. Life tests revealed that the mean mileage is 47,900 miles and the standard deviation is 2,050. The manufacturer wants to set the guaranteed mileage so that no more than five percent of the tires will have to be replaced. What guaranteed mileage should the manufacturer set? (assume normality)

Statistics - drwls, Friday, November 25, 2011 at 7:38am
The worst 5% of the tires (lowest mileage) will have a Z-score of -1.645. Get that from a normal distribution tabe or calculator, such as

http://www.measuringusability.com/zcalcp.php

Subtract 1.645*2050 from the mean mileage for your answer.

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