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17.1 Life tests on a sample of five units were conducted to evaluate a component design
before release to production. The units failed at the following times:

Unit Failure Time,
Number hours
1 1200
2 1900
3 2800
4 3500
5 4500

Suppose that the component was guaranteed to last 1000 hours. Any failures during this
period must be replaced by the manufacturer at a cost of $200 for each component.
Although the number of test data is small, management wants an estimate of the cost
of replacements. If 4000 of these components are sold, provide a dollar estimate of
the replacement cost.

Solution Preview

A normal probability plot of the failure times indicates that the data is normally distributed.

The mean failure ...

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