Suppose that 75 units are put on a life test, each unit that fails is immediately replaced,

Question:

Suppose that 75 units are put on a life test, each unit that fails is immediately replaced, and the test is discontinued after 10 units have failed. If the tenth failure occurred at 850 hours, assuming an exponential model,

(a) construct a \(99 \%\) confidence interval for the mean life of such units;

(b) test at the 0.01 level of confidence whether or not the mean life is less than 15,000 hours.

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