A manufacturer of plumbing fixtures has developed a newtype of washerless faucet. Let (a

Chapter 8, Problem 45

(choose chapter or problem)

A manufacturer of plumbing fixtures has developed a newtype of washerless faucet. Let (a randomly selectedfaucet of this type will develop a leak within 2 years undernormal use). The manufacturer has decided to proceed withproduction unless it can be determined that p is too large; theborderline acceptable value of p is specified as .10. The manufacturerdecides to subject n of these faucets to acceleratedtesting (approximating 2 years of normal use). Withthe number among the n faucets that leak before the test concludes,production will commence unless the observed X istoo large. It is decided that if , the probability of notproceeding should be at most .10, whereas if theprobability of proceeding should be at most .10. Canbe used? ? ? What is the appropriate rejectionregion for the chosen n, and what are the actual error probabilitieswhen this region is used?