The following failure history (in cumulative operating hours) of a new machine has management concerned: 85, 229, 310, 390, 436, 487, 504, and 515 (Type II data).
(a) Assume a nonhomogeneous Poisson process and find the power law intensity function based upon this data.
(b) Management believes the machine is deteriorating. Perform a trend test at the lO-percent level. Does the test support management's concern?
(c) Based on the Cramer-von Mises goodness-of-fit test at the lO-percent level, is the model found in (a) adequate?
(d) The machine currently has 600 hr of operating time. What is the expected time until its next failure?
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