TAKE YZ = 34 A recent public relations fiasco has intensified demand for engine testing for...

TAKE YZ = 34

A recent public relations fiasco has intensified demand for engine testing for a particular OEM of
agricultural machinery. Historically, these engines are estimated to have a constant failure rate of 7
failures per 10000 + YZ (ten thousand + YZ) hours.
A local TV station is testing the engines under two different trials (25 hours and 100 hours)
What is the reliability of a single engine after 25 hours AND 100 hours?

What is the probability of no failed engines, a single failed engine, and more than one failed
engine, if the engines are tested in batches of 5 engines? Use the Poisson method and fill in the table on
the next page, for both the 25 hour test and the 100 hour test. (show one sample calculation below)

0 failed 1 failed >1 failed TOTAL
100.00 % (25 hours)
100.00 % (100 hours)
Two separate third party labs are also testing the engine but using some different criteria.
Number of engines tested Number Failed
Lab 1 220+YZ 43
Lab 2 127 25
Formulate the hypothesis comparing the two labs, using the Z test for binomial trials (difference in
proportions). What significance did you find?

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Expert Solution

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samet mamat answered 5 months ago

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