2 years of normal use). With X = the number among the n faucets that leak before the test concludes, production will commence unless the observed X is too large. It is decided that if p = .10, the probability of not proceeding should be at most .10, whereas if p = .30 the probability of proceeding should be at most .10. Can n = 10 be used? n = 20? n = 25? What are the actual error probabilities for the chosen n? A manufacturer of plumbing fixtures has developed a new type of washerless faucet. Let p = P(a randomly selected faucet of this type will develop a leak within 2 years under normal use). The manufacturer has decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as .10. The manufacturer decides to subject n of these faucets to accelerated testing (approximating

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2 years of normal use). With X = the number among the
n faucets that leak before the test concludes, production
will commence unless the observed X is too large. It is
decided that if p = .10, the probability of not proceeding
should be at most .10, whereas if p = .30 the probability
of proceeding should be at most .10. Can n = 10 be used?
n = 20? n = 25? What are the actual error probabilities
for the chosen n?
Transcribed Image Text:2 years of normal use). With X = the number among the n faucets that leak before the test concludes, production will commence unless the observed X is too large. It is decided that if p = .10, the probability of not proceeding should be at most .10, whereas if p = .30 the probability of proceeding should be at most .10. Can n = 10 be used? n = 20? n = 25? What are the actual error probabilities for the chosen n?
A manufacturer of plumbing fixtures has developed a
new type of washerless faucet. Let p = P(a randomly
selected faucet of this type will develop a leak within 2
years under normal use). The manufacturer has decided to
proceed with production unless it can be determined that
p is too large; the borderline acceptable value of p is
specified as .10. The manufacturer decides to subject n of
these faucets to accelerated testing (approximating
Transcribed Image Text:A manufacturer of plumbing fixtures has developed a new type of washerless faucet. Let p = P(a randomly selected faucet of this type will develop a leak within 2 years under normal use). The manufacturer has decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as .10. The manufacturer decides to subject n of these faucets to accelerated testing (approximating
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