You’re the operations manager at an urban hopsital and you’re evaluating a proposal from a hopsital.

You’re the operations manager at an urban hopsital and you’re evaluating a proposal from a hopsital equipment company
that manufactures oxygen delivery systems. The company is developing a new manifold that they promise will operate for two
years before any possibility of a breakdown. As delivering oxygen 24/7 is a requirement, you’ve asked the company for the testing
data on these manifolds. As they want your business they provided the following data on 10 manifolds that went through accelerated
testing. The results are below
one unit failed at 356 operating hours
one unit failed at 854 operating hours
one unit failed at 3466 operating hours
one unit failed at 5260 operating hours
one unit failed at 13760 operating hours
five units successfully competed 20,000 operating hours.
a. determine the failure rate of this manifold.
b. determine the Mean Time To Failure of this manifold.
c. Based on the results, are the company’s claims about the manifold operating for two years correct?

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